{"id":2528,"date":"2016-10-18T21:49:02","date_gmt":"2016-10-18T21:49:02","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2528"},"modified":"2024-09-02T15:18:30","modified_gmt":"2024-09-02T15:18:30","slug":"movimento-uniformemente-variado","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/movimento-uniformemente-variado\/","title":{"rendered":"Movimento Uniformemente Variado"},"content":{"rendered":"

MOVIMENTO UNIFORMEMENTE VARIADO<\/b><\/span><\/span><\/span><\/p>\n

Formul\u00e1rio com as equa\u00e7\u00f5es do MUV<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Exerc\u00edcios de vestibulares com resolu\u00e7\u00f5es comentadas sobre <\/b><\/span><\/span><\/span><\/p>\n

Movimento Uniformemente Variado (MUV)<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

01-(UNESP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O <\/b><\/span><\/span><\/span>motorista de um ve\u00edculo A <\/b><\/span><\/span><\/span>\u00e9 <\/b><\/span><\/span><\/span>obrigado a frear bruscamente <\/b><\/span><\/span><\/span>quando <\/b><\/span><\/span><\/span>avista um ve\u00edculo B <\/b><\/span><\/span><\/span>\u00e0 sua <\/b><\/span><\/span><\/span>frente, locomovendo-se no mesmo sentido, <\/b><\/span><\/span><\/span>com uma <\/b><\/span><\/span><\/span>velocidade constante menor <\/b><\/span><\/span><\/span>que a do <\/b><\/span><\/span><\/span>ve\u00edculo A. <\/b><\/span><\/span><\/span><\/p>\n

Ao <\/b><\/span><\/span><\/span>final da desacelera\u00e7\u00e3o, o ve\u00edculo A atinge a mesma velocidade que B, <\/b><\/span><\/span><\/span>e passa <\/b><\/span><\/span><\/span>tamb\u00e9m <\/b><\/span><\/span><\/span>a se <\/b><\/span><\/span><\/span>locomover com velocidade constante. <\/b><\/span><\/span><\/span><\/p>\n

O movimento, a <\/b><\/span><\/span><\/span>partir do in\u00edcio da frenagem, \u00e9 descrito pelo gr\u00e1fico da figura.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considerando que a <\/b><\/span><\/span><\/span>dist\u00e2ncia que separava <\/b><\/span><\/span><\/span>ambos os ve\u00edculos <\/b><\/span><\/span><\/span>no in\u00edcio da frenagem era de 32 m, <\/b><\/span><\/span><\/span>ao <\/b><\/span><\/span><\/span>final dela a dist\u00e2ncia entre ambos <\/b><\/span><\/span><\/span>\u00e9 de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

02-(ACAFE-SC)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Para <\/b><\/span><\/span><\/span>garantir a seguran\u00e7a no tr\u00e2nsito, <\/b><\/span><\/span><\/span>deve-se <\/b><\/span><\/span><\/span>reduzir a velocidade <\/b><\/span><\/span><\/span>de um <\/b><\/span><\/span><\/span>ve\u00edculo em dias de chuva, sen\u00e3o vejamos: <\/b><\/span><\/span><\/span><\/p>\n

um<\/b><\/span><\/span><\/span> ve\u00edculo <\/b><\/span><\/span><\/span>em uma <\/b><\/span><\/span><\/span>pista reta, asfaltada e seca, movendo-se com velocidade de m\u00f3dulo 36 km\/h (10 m\/s) \u00e9 freado <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>desloca-se 5,0 m at\u00e9 parar. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Nas <\/b><\/span><\/span><\/span>mesmas circunst\u00e2ncias, s\u00f3 que com a pista molhada<\/b><\/span><\/span><\/span> sob chuva, <\/b><\/span><\/span><\/span>necessita de 1,0 m a mais para parar.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

Considerando a <\/b><\/span><\/span><\/span>mesma situa\u00e7\u00e3o (pista seca e molhada) <\/b><\/span><\/span><\/span>e agora a <\/b><\/span><\/span><\/span>velocidade do ve\u00edculo de m\u00f3dulo 108 km\/h (30 m\/s), <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>alternativa correta <\/b><\/span><\/span><\/span>que <\/b><\/span><\/span><\/span>indica a dist\u00e2ncia a mais para parar, em metros,<\/b><\/span><\/span><\/span> com a <\/b><\/span><\/span><\/span>pista molhada em rela\u00e7\u00e3o a pista seca \u00e9:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

03-(UEPA-PA)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

No <\/b><\/span><\/span><\/span>Par\u00e1,<\/b><\/span><\/span><\/span> o perigo relacionado \u00e0s <\/b><\/span><\/span><\/span>altas velocidades no tr\u00e2nsito <\/b><\/span><\/span><\/span>tem <\/b><\/span><\/span><\/span>aumentado os\u00a0 riscos de <\/b><\/span><\/span><\/span><\/p>\n

acidentes, <\/b><\/span><\/span><\/span>principalmente em <\/b><\/span><\/span><\/span>Bel\u00e9m.<\/b><\/span><\/span><\/span> \"\"<\/b><\/span><\/span><\/span><\/p>\n

Considerando que a <\/b><\/span><\/span><\/span>“dist\u00e2ncia de freagem” <\/b><\/span><\/span><\/span>\u00e9 a <\/b><\/span><\/span><\/span>dist\u00e2ncia que o carro percorre desde o momento que os freios s\u00e3o acionados at\u00e9 parar<\/b><\/span><\/span><\/span> e que o <\/b><\/span><\/span><\/span>modelo matem\u00e1tico que expressa essa rela\u00e7\u00e3o <\/b><\/span><\/span><\/span>\u00e9 dado por\u00a0 <\/b><\/span><\/span><\/span>D = K . V<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, <\/b><\/span><\/span><\/span>onde\u00a0 <\/b><\/span><\/span><\/span>D\u00a0r<\/b><\/span><\/span><\/span>epresenta <\/b><\/span><\/span><\/span>a dist\u00e2ncia de freagem em metros, K<\/b><\/span><\/span><\/span> \u00e9 uma <\/b><\/span><\/span><\/span>constante<\/b><\/span><\/span><\/span> e\u00a0 <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>\u00a0 \u00e9 a <\/b><\/span><\/span><\/span>velocidade em Km\/h. <\/b><\/span><\/span><\/span><\/p>\n

Assim, um <\/b><\/span><\/span><\/span>autom\u00f3vel que tem seus freios acionados <\/b><\/span><\/span><\/span>estando a uma <\/b><\/span><\/span><\/span>velocidade de 80 Km\/h <\/b><\/span><\/span><\/span>ainda <\/b><\/span><\/span><\/span>percorre 44 metros at\u00e9 parar. <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>dist\u00e2ncia de\u00a0 freagem de um autom\u00f3vel que tem seus freios acionados, estando a uma velocidade <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>160 Km\/h \u00e9:<\/b><\/span><\/span><\/span><\/p>\n

a) 2 vezes <\/b><\/span><\/span><\/span>a dist\u00e2ncia de freagem se <\/b><\/span><\/span><\/span>estivesse a 80 Km\/h. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) 3 vezes <\/b><\/span><\/span><\/span>a dist\u00e2ncia de freagem se <\/b><\/span><\/span><\/span>estivesse a 80 Km\/h.<\/b><\/span><\/span><\/span><\/p>\n

c) 4 vezes <\/b><\/span><\/span><\/span>a dist\u00e2ncia de freagem se <\/b><\/span><\/span><\/span>estivesse a 80 Km\/h. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) 5 vezes a dist\u00e2ncia de freagem <\/b><\/span><\/span><\/span>se<\/b><\/span><\/span><\/span> estivesse a 80 Km\/h.<\/b><\/span><\/span><\/span><\/p>\n

e) 6 vezes <\/b><\/span><\/span><\/span>a dist\u00e2ncia de freagem se <\/b><\/span><\/span><\/span>estivesse a 80 Km\/h.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

04-(UNICAMP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O <\/b><\/span><\/span><\/span>radar \u00e9 um dos dispositivos <\/b><\/span><\/span><\/span>mais usados para <\/b><\/span><\/span><\/span>coibir o excesso de velocidade <\/b><\/span><\/span><\/span>nas vias de tr\u00e2nsito. O seu <\/b><\/span><\/span><\/span>princ\u00edpio de<\/b><\/span><\/span><\/span>\"\"<\/p>\n

funcionamento \u00e9 baseado no efeito Doppler <\/b><\/span><\/span><\/span>das <\/b><\/span><\/span><\/span>ondas eletromagn\u00e9ticas refletidas <\/b><\/span><\/span><\/span>pelo carro em <\/b><\/span><\/span><\/span>movimento.<\/b><\/span><\/span><\/span><\/p>\n

Considere que a <\/b><\/span><\/span><\/span>velocidade medida por um radar foi V = 72 km\/h <\/b><\/span><\/span><\/span>para um <\/b><\/span><\/span><\/span>carro que se aproximava do aparelho.<\/b><\/span><\/span><\/span><\/p>\n

Quando um <\/b><\/span><\/span><\/span>carro n\u00e3o se move diretamente na dire\u00e7\u00e3o do radar, \u00e9 preciso fazer uma corre\u00e7\u00e3o da velocidade medida pelo aparelho\u00a0V<\/b><\/span><\/span><\/span>m<\/b><\/span><\/span><\/sub><\/span>\u00a0para obter a velocidade real do ve\u00edculo V<\/b><\/span><\/span><\/span>r<\/b><\/span><\/span><\/sub><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

Essa <\/b><\/span><\/span><\/span>corre\u00e7\u00e3o<\/b><\/span><\/span><\/span> pode ser <\/b><\/span><\/span><\/span>calculada <\/b><\/span><\/span><\/span>a partir da <\/b><\/span><\/span><\/span>f\u00f3rmula V<\/b><\/span><\/span><\/span>m <\/b><\/span><\/span><\/sub><\/span>= V<\/b><\/span><\/span><\/span>r<\/b><\/span><\/span><\/sub><\/span>.cos\u03b1, <\/b><\/span><\/span><\/span>em que <\/b><\/span><\/span><\/span>\u03b1 \u00e9 o \u00e2ngulo formado entre a dire\u00e7\u00e3o de tr\u00e1fego da rua e o segmento de reta que liga o radar ao ponto da via que ele mira. <\/b><\/span><\/span><\/span>Suponha que o <\/b><\/span><\/span><\/span>radar tenha sido instalado a uma dist\u00e2ncia de 50 m do centro da faixa na qual o carro trafegava, <\/b><\/span><\/span><\/span>e tenha <\/b><\/span><\/span><\/span>detectado a velocidade do carro quando este estava a 130 m de dist\u00e2ncia<\/b><\/span><\/span><\/span>, como mostra a <\/b><\/span><\/span><\/span>figura. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Se o <\/b><\/span><\/span><\/span>radar detectou que o carro trafegava a 72 km\/h, <\/b><\/span><\/span><\/span>sua <\/b><\/span><\/span><\/span>velocidade real <\/b><\/span><\/span><\/span>era igual a<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>66,5 km\/h<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>36,3 km\/h.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>78 km\/h.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>144\/3 km\/h<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

05-(MACKENZIE-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois autom\u00f3veis A e B <\/b><\/span><\/span><\/span>se <\/b><\/span><\/span><\/span>movimentam sobre uma mesma trajet\u00f3ria retil\u00ednea, <\/b><\/span><\/span><\/span>com suas <\/b><\/span><\/span><\/span>velocidades variando com o tempo de acordo com o gr\u00e1fico a seguir.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

06-(Olimp\u00edada Brasileira de F\u00edsica)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>part\u00edcula executa um movimento retil\u00edneo uniformemente variado.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Num <\/b><\/span><\/span><\/span>dado instante a part\u00edcula tem velocidade 50m\/s <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o negativa de m\u00f3dulo 0,2m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>. Quanto tempo decorre <\/b><\/span><\/span><\/span>at\u00e9 a <\/b><\/span><\/span><\/span>part\u00edcula alcan\u00e7ar a mesma velocidade em sentido contr\u00e1rio?<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

07-(UFES-ES)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>predador, partindo do repouso, <\/b><\/span><\/span><\/span>alcan\u00e7a sua <\/b><\/span><\/span><\/span>velocidade m\u00e1xima de 54 km\/h em 4 s <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>mant\u00e9m <\/b><\/span><\/span><\/span>essa <\/b><\/span><\/span><\/span>velocidade durante 10 s. <\/b><\/span><\/span><\/span><\/p>\n

Se <\/b><\/span><\/span><\/span>n\u00e3o alcan\u00e7ar sua presa nesses 14 s, <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>predador desiste da ca\u00e7ada. <\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>presa,<\/b><\/span><\/span><\/span> <\/b>partindo do repouso, <\/b><\/span><\/span><\/span>alcan\u00e7a sua <\/b><\/span><\/span><\/span>velocidade m\u00e1xima, que \u00e9 4\/5 da velocidade m\u00e1xima do<\/b><\/span><\/span><\/span> <\/b>predador, em 5 s <\/b><\/span><\/span><\/span>e consegue <\/b><\/span><\/span><\/span>mant\u00ea-la por mais tempo que o predador.<\/b><\/span><\/span><\/span><\/p>\n

Suponha-se que <\/b><\/span><\/span><\/span>as acelera\u00e7\u00f5es s\u00e3o constantes,<\/b><\/span><\/span><\/span> que o <\/b><\/span><\/span><\/span>in\u00edcio do ataque e da fuga s\u00e3o simult\u00e2neos <\/b><\/span><\/span><\/span>e que <\/b><\/span><\/span><\/span>predador e presa partem do repouso. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Para o <\/b><\/span><\/span><\/span>predador obter sucesso em sua ca\u00e7ada,<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>dist\u00e2ncia inicial m\u00e1xima <\/b><\/span><\/span><\/span>entre <\/b><\/span><\/span><\/span>ele e a presa <\/b><\/span><\/span><\/span>\u00e9 de:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>21 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>30 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>42 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>72 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>80 m<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

08-(UEG-GO)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois ve\u00edculos de corrida, <\/b><\/span><\/span><\/span>deslocando-se <\/b><\/span><\/span><\/span>no mesmo sentido, A e B, passam em um determinado ponto de uma auto estrada com velocidade V<\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/sub><\/span>= 72 km\/h e V<\/b><\/span><\/span><\/span>B <\/b><\/span><\/span><\/sub><\/span>= 54 km\/h <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>acelera\u00e7\u00f5es a<\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/sub><\/span>= 4,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0e a<\/b><\/span><\/span><\/span>B <\/b><\/span><\/span><\/sub><\/span>= 6,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, <\/b><\/span><\/span><\/span>respectivamente.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

a) Depois <\/b><\/span><\/span><\/span>de percorrer uma <\/b><\/span><\/span><\/span>dist\u00e2ncia de 150m, qual \u00e9 a velocidade dos dois ve\u00edculos?<\/b><\/span><\/span><\/span><\/p>\n

b) Ap\u00f3<\/b><\/span><\/span><\/span>s os <\/b><\/span><\/span><\/span>150m, cada um dos ve\u00edculos segue por um caminho diferente. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>ve\u00edculo A <\/b><\/span><\/span><\/span>atinge uma <\/b><\/span><\/span><\/span>curva na estrada e vira 90<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>\u00a0\u00e0 esquerda, <\/b><\/span><\/span><\/span>enquanto o <\/b><\/span><\/span><\/span>outro ve\u00edculo segue<\/b><\/span><\/span><\/span> por uma <\/b><\/span><\/span><\/span>dire\u00e7\u00e3o que faz um \u00e2ngulo de 60<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>\u00a0<\/b><\/span><\/span><\/span>em rela\u00e7\u00e3o \u00e0 <\/b><\/span><\/span><\/span>dire\u00e7\u00e3o inicial. <\/b><\/span><\/span><\/span><\/p>\n

Qual <\/b><\/span><\/span><\/span>ser\u00e1 a <\/b><\/span><\/span><\/span>dist\u00e2ncia entre os dois ve\u00edculos <\/b><\/span><\/span><\/span>depois de <\/b><\/span><\/span><\/span>passar 10s em que ambos estavam na posi\u00e7\u00e3o inicial?<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

09-(FUVEST-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>velocidade m\u00e1xima permitida em uma auto-estrada \u00e9 de 110 km\/h <\/b><\/span><\/span><\/span>(aproximadamente 30 m\/s) e um <\/b><\/span><\/span><\/span>carro, nessa velocidade, leva 6s para parar completamente.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Diante de um <\/b><\/span><\/span><\/span>posto rodovi\u00e1rio, <\/b><\/span><\/span><\/span>os <\/b><\/span><\/span><\/span>ve\u00edculos devem trafegar no m\u00e1ximo a 36 km\/h <\/b><\/span><\/span><\/span>(10 m\/s). <\/b><\/span><\/span><\/span><\/p>\n

Assim, <\/b><\/span><\/span><\/span>para que carros em velocidade m\u00e1xima <\/b><\/span><\/span><\/span>consigam <\/b><\/span><\/span><\/span>obedecer ao limite permitido, ao passar em frente do posto, <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>placa referente \u00e0 redu\u00e7\u00e3o de velocidade <\/b><\/span><\/span><\/span>dever\u00e1 ser <\/b><\/span><\/span><\/span>colocada antes do posto, a uma dist\u00e2ncia, pelo menos, de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

10-(UNESP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>corpo parte do repouso <\/b><\/span><\/span><\/span>em movimento <\/b><\/span><\/span><\/span>uniformemente acelerado.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Sua <\/b><\/span><\/span><\/span>posi\u00e7\u00e3o em fun\u00e7\u00e3o do tempo <\/b><\/span><\/span><\/span>\u00e9 registrada em uma <\/b><\/span><\/span><\/span>fita a cada segundo<\/b><\/span><\/span><\/span>, a <\/b><\/span><\/span><\/span>partir do primeiro ponto \u00e0 esquerda, <\/b><\/span><\/span><\/span>que <\/b><\/span><\/span><\/span>corresponde ao instante do in\u00edcio do movimento<\/b><\/span><\/span><\/span>. <\/b><\/span><\/span><\/span><\/p>\n

A fita que <\/b><\/span><\/span><\/span>melhor representa esse movimento <\/b><\/span><\/span><\/span>\u00e9:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span><\/p>\n

11-(UNICAMP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>autom\u00f3vel trafega com velocidade constante de 12 m\/s<\/b><\/span><\/span><\/span> por uma <\/b><\/span><\/span><\/span>avenida<\/b><\/span><\/span><\/span> e se <\/b><\/span><\/span><\/span>aproxima <\/b><\/span><\/span><\/span>de um <\/b><\/span><\/span><\/span>cruzamento onde h\u00e1 um sem\u00e1foro com fiscaliza\u00e7\u00e3o eletr\u00f4nica. <\/b><\/span><\/span><\/span><\/p>\n

Quando o <\/b><\/span><\/span><\/span>autom\u00f3vel<\/b><\/span><\/span><\/span> se <\/b><\/span><\/span><\/span>encontra <\/b><\/span><\/span><\/span>a uma <\/b><\/span><\/span><\/span>dist\u00e2ncia de 30 m <\/b><\/span><\/span><\/span>do <\/b><\/span><\/span><\/span>cruzamento,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>sinal muda de verde para amarelo.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0O <\/b><\/span><\/span><\/span>motorista deve decidir entre parar o carro antes de chegar ao cruzamento <\/b><\/span><\/span><\/span>ou <\/b><\/span><\/span><\/span>acelerar o c<\/b><\/span><\/span><\/span>arro e <\/b><\/span><\/span><\/span>passar<\/b><\/span><\/span><\/span> pelo <\/b><\/span><\/span><\/span>cruzamento antes do sinal mudar para vermelho. <\/b><\/span><\/span><\/span><\/p>\n

Este <\/b><\/span><\/span><\/span>sinal<\/b><\/span><\/span><\/span> permanece <\/b><\/span><\/span><\/span>amarelo por 2,2 s. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>tempo de rea\u00e7\u00e3o do motorista <\/b><\/span><\/span><\/span>(tempo decorrido entre o momento em que o motorista v\u00ea a mudan\u00e7a de sinal e o momento em que realiza alguma a\u00e7\u00e3o) <\/b><\/span><\/span><\/span>\u00e9 0,5 s.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>Determine a <\/b><\/span><\/span><\/span>m\u00ednima acelera\u00e7\u00e3o constante <\/b><\/span><\/span><\/span>que o <\/b><\/span><\/span><\/span>carro deve ter para parar antes de atingir o cruzamento <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>n\u00e3o ser multado.<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>Calcule a <\/b><\/span><\/span><\/span>menor acelera\u00e7\u00e3o constante <\/b><\/span><\/span><\/span>que o <\/b><\/span><\/span><\/span>carro deve ter para passar<\/b><\/span><\/span><\/span> pelo <\/b><\/span><\/span><\/span>cruzamento <\/b><\/span><\/span><\/span>sem ser <\/b><\/span><\/span><\/span>multado. Aproxime (1,7)<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0\u00a0para 3.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

12-(PUC-RJ)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um atleta <\/b><\/span><\/span><\/span>corre<\/b><\/span><\/span><\/span> a uma <\/b><\/span><\/span><\/span>certa velocidade constante<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>linha reta <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>ultrapassa um carro <\/b><\/span><\/span><\/span>que est\u00e1 sendo <\/b><\/span><\/span><\/span>acelerado (a = 2,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>) do repouso na mesma dire\u00e7\u00e3o e sentido.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

O <\/b><\/span><\/span><\/span>instante de tempo t = 0 <\/b><\/span><\/span><\/span>\u00e9 o <\/b><\/span><\/span><\/span>tempo inicial de acelera\u00e7\u00e3o do carro <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>tamb\u00e9m o instante de tempo <\/b><\/span><\/span><\/span>em que o <\/b><\/span><\/span><\/span>atleta passa pelo carro. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>atleta consegue se manter \u00e0 frente do carro por 3,0 s. Qual <\/b><\/span><\/span><\/span>\u00e9 a <\/b><\/span><\/span><\/span>velocidade do atleta?<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>1,0 m\/s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>3,0 m\/s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>7,0 m\/s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>9,0 m\/s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>11,0 m\/s<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a013-(FGV-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"\u00a0\u00a0\u00a0<\/span><\/p>\n

O <\/b><\/span><\/span><\/span>engavetamento \u00e9 um tipo comum de acidente que ocorre quando motoristas deliberadamente mant\u00eam uma curta <\/b><\/span><\/span><\/span>dist\u00e2ncia do carro que <\/b><\/span><\/span><\/span>se encontra \u00e0 sua frente e este \u00faltimo repentinamente diminui sua velocidade.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Em um <\/b><\/span><\/span><\/span>trecho retil\u00edneo de uma estrada, <\/b><\/span><\/span><\/span>um <\/b><\/span><\/span><\/span>autom\u00f3vel e o caminh\u00e3o, <\/b><\/span><\/span><\/span>que <\/b><\/span><\/span><\/span>o segue, trafegam<\/b><\/span><\/span><\/span> no <\/b><\/span><\/span><\/span>mesmo sentido e na mesma faixa de tr\u00e2nsito, <\/b><\/span><\/span><\/span>desenvolvendo, ambos, <\/b><\/span><\/span><\/span>velocidade de 108 km\/h. <\/b><\/span><\/span><\/span><\/p>\n

Num <\/b><\/span><\/span><\/span>dado momento, os motoristas v\u00eaem um cavalo entrando na pista. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Assustados,<\/b><\/span><\/span><\/span> pisam <\/b><\/span><\/span><\/span>simultaneamente nos freios de seus ve\u00edculos aplicando, <\/b><\/span><\/span><\/span>respectivamente, <\/b><\/span><\/span><\/span>acelera\u00e7\u00f5es de intensidades 3 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0e 2 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>. <\/b><\/span><\/span><\/span><\/p>\n

Supondo <\/b><\/span><\/span><\/span>desacelera\u00e7\u00f5es constantes, <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>dist\u00e2ncia inicial m\u00ednima de separa\u00e7\u00e3o <\/b><\/span><\/span><\/span>entre o <\/b><\/span><\/span><\/span>p\u00e1ra-choque do carro (traseiro) <\/b><\/span><\/span><\/span>e o do <\/b><\/span><\/span><\/span>caminh\u00e3o (dianteiro), <\/b><\/span><\/span><\/span>suficiente para que os <\/b><\/span><\/span><\/span>ve\u00edculos parem, sem<\/b><\/span><\/span><\/span> que ocorra uma <\/b><\/span><\/span><\/span>colis\u00e3o, \u00e9, em m<\/b><\/span><\/span><\/span>, de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

14-(UNICAMP-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"\u00a0<\/span><\/p>\n

A <\/b><\/span><\/span><\/span>Copa do Mundo \u00e9 o segundo maior evento desportivo do mundo, <\/b><\/span><\/span><\/span>ficando atr\u00e1s apenas dos <\/b><\/span><\/span><\/span>Jogos Ol\u00edmpicos. <\/b><\/span><\/span><\/span><\/p>\n

Uma <\/b><\/span><\/span><\/span>das <\/b><\/span><\/span><\/span>regras do futebol <\/b><\/span><\/span><\/span>que gera <\/b><\/span><\/span><\/span>pol\u00eamica com certa frequ\u00eancia \u00e9 a do impedimento. <\/b><\/span><\/span><\/span><\/p>\n

Para que o <\/b><\/span><\/span><\/span>atacante A n\u00e3o esteja em impedimento, <\/b><\/span><\/span><\/span>deve haver ao <\/b><\/span><\/span><\/span>menos dois jogadores advers\u00e1rios <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>sua frente, G e Z,<\/b><\/span><\/span><\/span> no <\/b><\/span><\/span><\/span>exato instante em que o jogador L lan\u00e7a a bola para A <\/b><\/span><\/span><\/span>(ver figura). Considere que <\/b><\/span><\/span><\/span>somente os jogadores G e Z estejam \u00e0 frente de A <\/b><\/span><\/span><\/span>e que <\/b><\/span><\/span><\/span>somente A e Z se deslocam nas situa\u00e7\u00f5es descritas a seguir.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>Suponha que a <\/b><\/span><\/span><\/span>dist\u00e2ncia entre A e Z <\/b><\/span><\/span><\/span>seja de <\/b><\/span><\/span><\/span>12 m. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Se <\/b><\/span><\/span><\/span>A parte do repouso em dire\u00e7\u00e3o ao gol <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o de 3,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0e Z tamb\u00e9m parte do repouso com a mesma acelera\u00e7\u00e3o no sentido oposto, quanto tempo o jogador L tem para lan\u00e7ar a bola depois da partida de A antes que A encontre Z?<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>O <\/b><\/span><\/span><\/span>\u00e1rbitro demora 0,1 s <\/b><\/span><\/span><\/span>entre o <\/b><\/span><\/span><\/span>momento<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>que v\u00ea o lan\u00e7amento de L <\/b><\/span><\/span><\/span>e o <\/b><\/span><\/span><\/span>momento em que determina as posi\u00e7\u00f5es dos jogadores A e Z. <\/b><\/span><\/span><\/span><\/p>\n

Considere agora que <\/b><\/span><\/span><\/span>A e Z movem-se a velocidades constantes de 6,0 m\/s, como indica <\/b><\/span><\/span><\/span>a figura. Qual \u00e9 a <\/b><\/span><\/span><\/span>dist\u00e2ncia m\u00ednima entre A e Z no momento do lan\u00e7amento <\/b><\/span><\/span><\/span>para que o <\/b><\/span><\/span><\/span>\u00e1rbitro decida de forma inequ\u00edvoca que A n\u00e3o est\u00e1 impedido?<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

15-(UNICAMP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>figura abaixo <\/b><\/span><\/span><\/span>representa <\/b><\/span><\/span><\/span>parte <\/b><\/span><\/span><\/span>do <\/b><\/span><\/span><\/span>mapa de uma cidade, <\/b><\/span><\/span><\/span>no qual est\u00e3o <\/b><\/span><\/span><\/span>identificadas<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>catedral,<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>prefeitura <\/b><\/span><\/span><\/span>e a <\/b><\/span><\/span><\/span>c\u00e2mara dos vereadores.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Observe <\/b><\/span><\/span><\/span>que o <\/b><\/span><\/span><\/span>quadriculado n\u00e3o representa os quarteir\u00f5es da cidade, <\/b><\/span><\/span><\/span>servindo apenas para a <\/b><\/span><\/span><\/span>localiza\u00e7\u00e3o dos pontos e retas no plano cartesiano. <\/b><\/span><\/span><\/span><\/p>\n

Nessa cidade, a <\/b><\/span><\/span><\/span>Avenida Brasil \u00e9 <\/b><\/span><\/span><\/span>formada <\/b><\/span><\/span><\/span>pelos pontos equidistantes da catedral e da prefeitura, enquanto a<\/b><\/span><\/span><\/span><\/p>\n

Avenida Juscelino Kubitschek (n\u00e3o mostrada no mapa) \u00e9 formada pelos pontos equidistantes da prefeitura e da c\u00e2mara de vereadores.<\/b><\/span><\/span><\/span><\/p>\n

Sabendo que a <\/b><\/span><\/span><\/span>dist\u00e2ncia real entre a catedral e a prefeitura \u00e9 de 500 m, <\/b><\/span><\/span><\/span>podemos <\/b><\/span><\/span><\/span>concluir <\/b><\/span><\/span><\/span>que a <\/b><\/span><\/span><\/span>dist\u00e2ncia real, em linha reta, entre a catedral e a c\u00e2mara de vereadores<\/b><\/span><\/span><\/span> \u00e9 de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

16-(UEPA-PA)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma das <\/b><\/span><\/span><\/span>causas de acidentes de tr\u00e2nsito \u00e9 a imprud\u00eancia de certos motoristas, <\/b><\/span><\/span><\/span>que realizam <\/b><\/span><\/span><\/span>manobras arriscadas ou inapropriadas. <\/b><\/span><\/span><\/span><\/p>\n

Por exemplo, em uma <\/b><\/span><\/span><\/span>manobra realizada em um trecho retil\u00edneo de uma rodovia, <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>motorista <\/b><\/span><\/span><\/span>de um<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

autom\u00f3vel de passeio de comprimento igual a 3 m resolveu ultrapassar, <\/b><\/span><\/span><\/span>de uma s\u00f3 vez, uma <\/b><\/span><\/span><\/span>fileira de ve\u00edculos medindo 17 m de comprimento. <\/b><\/span><\/span><\/span><\/p>\n

Para <\/b><\/span><\/span><\/span>realizar a manobra, <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>autom\u00f3vel,<\/b><\/span><\/span><\/span> que se <\/b><\/span><\/span><\/span>deslocava inicialmente a 90 km\/h, acelerou uniformemente, ultrapassando a fileira de ve\u00edculos em um intervalo de tempo de 4 s.<\/b><\/span><\/span><\/span><\/p>\n

Supondo que a <\/b><\/span><\/span><\/span>fileira tenha se mantido em movimento retil\u00edneo uniforme, <\/b><\/span><\/span><\/span>a uma <\/b><\/span><\/span><\/span>velocidade de 90 km\/h, <\/b><\/span><\/span><\/span>afirma-se que a <\/b><\/span><\/span><\/span>velocidade do autom\u00f3vel, no instante em que a sua traseira ultrapassou completamente a fileira de ve\u00edculos, era, em m\/s<\/b><\/span><\/span><\/span>, igual a:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

17-(UFC-CE)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>trem, ap\u00f3s parar em uma esta\u00e7\u00e3o, <\/b><\/span><\/span><\/span>sofre uma <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o,<\/b><\/span><\/span><\/span> de acordo com o <\/b><\/span><\/span><\/span>gr\u00e1fico da figura <\/b><\/span><\/span><\/span>a seguir, <\/b><\/span><\/span><\/span>at\u00e9 parar novamente na pr\u00f3xima esta\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>Assinale a alternativa <\/b><\/span><\/span><\/span>que apresenta os <\/b><\/span><\/span><\/span>valores corretos de t<\/b><\/span><\/span><\/span>f<\/b><\/span><\/span><\/sub><\/span>, o tempo de viagem entre as duas esta\u00e7\u00f5es, e da dist\u00e2ncia entre as esta\u00e7\u00f5es.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) <\/b><\/span><\/span><\/span>80 s, 1600 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>65 s, 1600 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>80 s, 1500 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>65 s, 1500 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>90 s, 1500 m<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

18-(UERJ-RJ)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Numa <\/b><\/span><\/span><\/span>opera\u00e7\u00e3o de salvamento mar\u00edtimo, <\/b><\/span><\/span><\/span>foi lan\u00e7ado um <\/b><\/span><\/span><\/span>foguete sinalizador que permaneceu aceso durante toda sua trajet\u00f3ria. <\/b><\/span><\/span><\/span>Considere que a <\/b><\/span><\/span><\/span>altura h, em metros, alcan\u00e7ada<\/b><\/span><\/span><\/span> por este foguete, em <\/b><\/span><\/span><\/span>rela\u00e7\u00e3o ao n\u00edvel do mar,<\/b><\/span><\/span><\/span> \u00e9 descrita por <\/b><\/span><\/span><\/span>h = 10 + 5t \u2013 t<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, <\/b><\/span><\/span><\/span>em que <\/b><\/span><\/span><\/span>t \u00e9 o tempo, em segundos, ap\u00f3s seu lan\u00e7amento. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>luz emitida pelo foguete \u00e9 \u00fatil <\/b><\/span><\/span><\/span>apenas a <\/b><\/span><\/span><\/span>partir de 14 m acima do n\u00edvel do mar.<\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>intervalo de tempo,<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>segundos,<\/b><\/span><\/span><\/span> no qual o <\/b><\/span><\/span><\/span>foguete emite luz \u00fatil<\/b><\/span><\/span><\/span> \u00e9 igual a:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>7<\/b><\/span><\/span><\/span><\/p>\n

19-(UNIOESTE-PR)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um\u00a0<\/b><\/span><\/span><\/span>comboio ferrovi\u00e1rio <\/b><\/span><\/span><\/span>\u00e9 <\/b><\/span><\/span><\/span>composto por uma locomotiva e v\u00e1rios vag\u00f5es. <\/b><\/span><\/span><\/span><\/p>\n

Tanto a\u00a0<\/b><\/span><\/span><\/span>locomotiva como os vag\u00f5es possuem\u00a024 m de comprimento cada um. <\/b><\/span><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>locomotiva demora 4,0 s para passar diante\u00a0de um\u00a0observador parado\u00a0pr\u00f3ximo aos trilhos <\/b><\/span><\/span><\/span>e o <\/b><\/span><\/span><\/span>primeiro vag\u00e3o demora 2,0 s para passar diante do mesmo observador. <\/b><\/span><\/span><\/span><\/p>\n

Supondo a\u00a0<\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o constante, <\/b><\/span><\/span><\/span>assinale a <\/b><\/span><\/span><\/span>alternativa CORRETA.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A. <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o <\/b><\/span><\/span><\/span>do comboio \u00e9 igual a <\/b><\/span><\/span><\/span>0,50 m.s<\/b><\/span><\/span><\/span>-2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

B. <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>velocidade <\/b><\/span><\/span><\/span>da <\/b><\/span><\/span><\/span>locomotiva,<\/b><\/span><\/span><\/span> quando <\/b><\/span><\/span><\/span>come\u00e7a a passar diante do observador, \u00e9 igual a 4,0 m.s<\/b><\/span><\/span><\/span>-1<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

C. <\/b><\/span><\/span><\/span>O <\/b><\/span><\/span><\/span>segundo vag\u00e3o demora 1,0 s para passar diante do observador.<\/b><\/span><\/span><\/span><\/p>\n

D. Quando <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>primeiro vag\u00e3o come\u00e7a<\/b><\/span><\/span><\/span> a passar <\/b><\/span><\/span><\/span>diante do observador, <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>velocidade do comboio \u00e9 igual a 36 km.h<\/b><\/span><\/span><\/span>-1<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

E. <\/b><\/span><\/span><\/span>Quando o <\/b><\/span><\/span><\/span>segundo vag\u00e3o come\u00e7a a passar diante do observador<\/b><\/span><\/span><\/span>, a <\/b><\/span><\/span><\/span>velocidade do comboio \u00e9 igual a 54 km.h<\/b><\/span><\/span><\/span>-1<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

20-(UEL-PR)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em uma\u00a0<\/b><\/span><\/span><\/span>prova de atletismo, <\/b><\/span><\/span><\/span>um <\/b><\/span><\/span><\/span>corredor,<\/b><\/span><\/span><\/span> que participa da\u00a0<\/b><\/span><\/span><\/span>prova de 100 m rasos,\u00a0parte do repouso, <\/b><\/span><\/span><\/span>corre com\u00a0<\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o constante nos primeiros 50 m\u00a0<\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>depois\u00a0mant\u00e9m a velocidade constante at\u00e9 o final da prova.<\/b><\/span><\/span><\/span><\/p>\n

Sabendo que a <\/b><\/span><\/span><\/span>prova foi\u00a0completada em 10 s, <\/b><\/span><\/span><\/span>calcule o valor da\u00a0<\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o, da velocidade\u00a0atingida<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

pelo atleta no\u00a0final da primeira metade da prova\u00a0<\/b><\/span><\/span><\/span>e dos\u00a0<\/b><\/span><\/span><\/span>intervalos de tempo de cada percurso.<\/b><\/span><\/span><\/span><\/p>\n

Apresente os c\u00e1lculos.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

Confira as resolu\u00e7\u00f5es comentadas<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

MOVIMENTO UNIFORMEMENTE VARIADO Formul\u00e1rio com as equa\u00e7\u00f5es do MUV Exerc\u00edcios de vestibulares com resolu\u00e7\u00f5es comentadas sobre Movimento Uniformemente Variado (MUV) \u00a0 01-(UNESP-SP) O motorista de um ve\u00edculo A \u00e9 obrigado a frear bruscamente quando avista um ve\u00edculo B \u00e0 sua frente, locomovendo-se no mesmo sentido, com uma velocidade constante menor que a do ve\u00edculo A. Ao final da desacelera\u00e7\u00e3o, o<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2508,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-2528","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2528","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=2528"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2528\/revisions"}],"predecessor-version":[{"id":2534,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2528\/revisions\/2534"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2508"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}