{"id":2526,"date":"2016-10-18T21:29:49","date_gmt":"2016-10-18T21:29:49","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2526"},"modified":"2024-09-02T15:19:48","modified_gmt":"2024-09-02T15:19:48","slug":"movimentos-verticais","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/movimentos-verticais\/","title":{"rendered":"Movimentos Verticais"},"content":{"rendered":"

MOVIMENTOS VERTICAIS<\/b><\/span><\/span><\/span><\/p>\n

FORMUL\u00c1RIO<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

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

Movimentos Verticais<\/b><\/span><\/span><\/span><\/p>\n

01-(CEFET-CE)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>elevador de bagagens sobe <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade constante de 5m\/s.<\/b><\/span><\/span><\/span><\/p>\n

Uma <\/b><\/span><\/span><\/span>l\u00e2mpada <\/b><\/span><\/span><\/span>se desprende <\/b><\/span><\/span><\/span>do teto do elevador <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>cai livremente at\u00e9 o piso do mesmo. <\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o <\/b><\/span><\/span><\/span>local<\/b><\/span><\/span><\/span> da gravidade \u00e9 de 10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>tempo de queda da l\u00e2mpada \u00e9 de 0,5s. <\/b><\/span><\/span><\/span><\/p>\n

Determine a<\/b><\/span><\/span><\/span> altura <\/b><\/span><\/span><\/span>aproximada do <\/b><\/span><\/span><\/span>elevador.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>malabarista de circo <\/b><\/span><\/span><\/span>deseja ter <\/b><\/span><\/span><\/span>tr\u00eas bolas no ar em todos os instantes.<\/b><\/span><\/span><\/span><\/p>\n

Ele <\/b><\/span><\/span><\/span>arremessa uma bola a cada 0,40s <\/b><\/span><\/span><\/span>(considere g= 10m\/s\u00b2).
\n<\/b><\/span><\/span><\/span>a) Quanto tempo cada bola fica no ar?<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>Com que <\/b><\/span><\/span><\/span>velocidade inicial <\/b><\/span><\/span><\/span>deve o <\/b><\/span><\/span><\/span>malabarista atirar cada bola para cima?
\nc) A que altura <\/b><\/span><\/span><\/span>se <\/b><\/span><\/span><\/span>elevar\u00e1 cada bola acima de suas m\u00e3os?<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Duas bolinhas s\u00e3o lan\u00e7adas verticalmente para cima,<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>partir <\/b><\/span><\/span><\/span>de uma <\/b><\/span><\/span><\/span>mesma altura<\/b><\/span><\/span><\/span>, com a <\/b><\/span><\/span><\/span>mesma velocidade inicial de 15m\/s<\/b><\/span><\/span><\/span>, mas num <\/b><\/span><\/span><\/span>intervalo de tempo de de 0,5s entre os lan\u00e7amentos.<\/b><\/span><\/span><\/span><\/p>\n

Despreze a resist\u00eancia do ar <\/b><\/span><\/span><\/span>e considere <\/b><\/span><\/span><\/span>g = 10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

a) Fa\u00e7a, <\/b><\/span><\/span><\/span>num <\/b><\/span><\/span><\/span>mesmo sistema de eixos,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>gr\u00e1fico da velocidade em fun\u00e7\u00e3o do tempo <\/b><\/span><\/span><\/span>para as <\/b><\/span><\/span><\/span>duas bolinhas.<\/b><\/span><\/span><\/span><\/p>\n

b) Qual o instante <\/b><\/span><\/span><\/span>e a <\/b><\/span><\/span><\/span>altura em que as duas bolinhas coincidem?<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Em uma <\/b><\/span><\/span><\/span>manh\u00e3 de calmaria, <\/b><\/span><\/span><\/span>um <\/b><\/span><\/span><\/span>Ve\u00edculo Lan\u00e7ador de Sat\u00e9lite (VLS) \u00e9 lan\u00e7ado verticalmente<\/b><\/span><\/span><\/span> do <\/b><\/span><\/span><\/span>solo<\/b><\/span><\/span><\/span> e, <\/b><\/span><\/span><\/span>ap\u00f3s<\/b><\/span><\/span><\/span> um <\/b><\/span><\/span><\/span>per\u00edodo desacelera\u00e7\u00e3o<\/b><\/span><\/span><\/span>, ao atingir a <\/b><\/span><\/span><\/span>altura de 100 m, sua velocidade linear \u00e9 constante<\/b><\/span><\/span><\/span> e de <\/b><\/span><\/span><\/span>m\u00f3dulo igual a 20,0 m\/s. <\/b><\/span><\/span><\/span><\/p>\n

Alguns segundos <\/b><\/span><\/span><\/span>ap\u00f3s atingir <\/b><\/span><\/span><\/span>essa altura, <\/b><\/span><\/span><\/span>um de seus <\/b><\/span><\/span><\/span>conjuntos de instrumentos desprende-s<\/b><\/span><\/span><\/span>e e <\/b><\/span><\/span><\/span>move-se livremente sob a\u00e7\u00e3o da for\u00e7a gravitacional.<\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>figura fornece o gr\u00e1fico <\/b><\/span><\/span><\/span>da <\/b><\/span><\/span><\/span>velocidade vertical, em m\/s, <\/b><\/span><\/span><\/span>do conjunto de <\/b><\/span><\/span><\/span>instrumentos desprendido <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

como fun\u00e7\u00e3o do tempo<\/b><\/span><\/span><\/span>, em <\/b><\/span><\/span><\/span>segundos,<\/b><\/span><\/span><\/span> <\/b>medido no intervalo entre o momento em que ele atinge a altura de 100 m at\u00e9 o instante em que, ao retornar, toca o solo.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>Determine a <\/b><\/span><\/span><\/span>ordenada y <\/b><\/span><\/span><\/span>do gr\u00e1fico no <\/b><\/span><\/span><\/span>instante t = 0 s <\/b><\/span><\/span><\/span>e a <\/b><\/span><\/span><\/span>altura em que o conjunto de instrumentos se desprende do VLS.<\/b><\/span><\/span><\/span><\/p>\n

b) Calcule, <\/b><\/span><\/span><\/span>atrav\u00e9s dos <\/b><\/span><\/span><\/span>dados fornecidos pelo gr\u00e1fico, <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o gravitacional do local <\/b><\/span><\/span><\/span>e, considerando <\/b><\/span><\/span><\/span>\u221a2 \u00ad=1,4, determine o instante <\/b><\/span><\/span><\/span>no qual o <\/b><\/span><\/span><\/span>conjunto de instrumentos toca o solo ao retornar.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Frequentemente,<\/b><\/span><\/span><\/span> quando estamos por <\/b><\/span><\/span><\/span>passar sob um viaduto, observamos uma placa <\/b><\/span><\/span><\/span>orientando o <\/b><\/span><\/span><\/span>motorista<\/b><\/span><\/span><\/span> para que <\/b><\/span><\/span><\/span>comunique \u00e0 pol\u00edcia qualquer atitude suspeita em cima do viaduto. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>alerta serve para deixar o motorista atento a um tipo de assalto <\/b><\/span><\/span><\/span>que tem se <\/b><\/span><\/span><\/span>tornado comum <\/b><\/span><\/span><\/span>e que segue um <\/b><\/span><\/span><\/span>procedimento bastante elaborado. <\/b><\/span><\/span><\/span><\/p>\n

Contando que o <\/b><\/span><\/span><\/span>motorista passe em determinado trecho da estrada com velocidade constante, <\/b><\/span><\/span><\/span>um <\/b><\/span><\/span><\/span>assaltante, sobre o viaduto, <\/b><\/span><\/span><\/span>aguarda a <\/b><\/span><\/span><\/span>passagem do p\u00e1ra-brisa do carro <\/b><\/span><\/span><\/span>por uma <\/b><\/span><\/span><\/span>refer\u00eancia previamente marcada na estrada. <\/b><\/span><\/span><\/span><\/p>\n

Nesse momento, abandona <\/b><\/span><\/span><\/span>em <\/b><\/span><\/span><\/span>queda livre uma pedra que cai <\/b><\/span><\/span><\/span>enquanto o <\/b><\/span><\/span><\/span>carro se move para debaixo do viaduto. <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>pedra atinge o vidro do carro quebrando-o <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>for\u00e7ando o motorista a parar <\/b><\/span><\/span><\/span>no <\/b><\/span><\/span><\/span>acostamento mais \u00e0 frente, onde outro assaltante aguarda para realizar o furto.<\/b><\/span><\/span><\/span><\/p>\n

Suponha que, em um <\/b><\/span><\/span><\/span>desses assaltos, a pedra caia por 7,2 m antes de atingir o p\u00e1ra-brisa <\/b><\/span><\/span><\/span>de um <\/b><\/span><\/span><\/span>carro.<\/b><\/span><\/span><\/span> <\/b>\"\"<\/p>\n

Nessas condi\u00e7\u00f5es, <\/b><\/span><\/span><\/span>desprezando-se a resist\u00eancia <\/b><\/span><\/span><\/span>do ar e considerando a <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o da gravidade 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, a <\/b><\/span><\/span><\/span>dist\u00e2ncia d da marca de refer\u00eancia,<\/b><\/span><\/span><\/span> <\/b>relativamente \u00e0 trajet\u00f3ria vertical <\/b><\/span><\/span><\/span>que a pedra <\/b><\/span><\/span><\/span>realizar\u00e1<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>sua queda, <\/b><\/span><\/span><\/span>para um trecho de <\/b><\/span><\/span><\/span>estrada onde os carros se movem com velocidade constante de 120 km\/h, <\/b><\/span><\/span><\/span>est\u00e1 a<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

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

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>corpo<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>queda livre percorre certa dist\u00e2ncia vertical em 2s;<\/b><\/span><\/span><\/span> logo, a <\/b><\/span><\/span><\/span>dist\u00e2ncia percorrida em 6s <\/b><\/span><\/span><\/span>ser\u00e1:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>dupla.\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>tripla\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>seis vezes maior.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>nove vezes maior. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>doze vezes maior.<\/b><\/span><\/span><\/span><\/p>\n

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

07-(UNIFESP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Tr\u00eas bolinhas id\u00eanticas, s\u00e3o lan\u00e7adas na vertical, lado a lado <\/b><\/span><\/span><\/span>e em <\/b><\/span><\/span><\/span>sequ\u00eancia, a partir do solo horizontal, <\/b><\/span><\/span><\/span>com a <\/b><\/span><\/span><\/span>mesma velocidade inicial, de m\u00f3dulo igual a 15 m\/s para cima. <\/b><\/span><\/span><\/span><\/p>\n

Um segundo ap\u00f3s o lan\u00e7amento da primeira,<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>segunda bolinha \u00e9\u00a0 lan\u00e7ada.<\/b><\/span><\/span><\/span> <\/b>\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>terceira bolinha \u00e9 lan\u00e7ada no instante <\/b><\/span><\/span><\/span>em que <\/b><\/span><\/span><\/span>a primeira, ao retornar, toca o solo.<\/b><\/span><\/span><\/span><\/p>\n

Considerando\u00a0 <\/b><\/span><\/span><\/span>g = 10m\/s<\/b><\/span><\/span><\/span>2\u00a0<\/b><\/span><\/span><\/sup><\/span>e que os <\/b><\/span><\/span><\/span>efeitos da resist\u00eancia do ar ao movimento podem ser desprezados, <\/b><\/span><\/span><\/span>determine<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>altura m\u00e1xima (h<\/b><\/span><\/span><\/span>m\u00e1x<\/b><\/span><\/span><\/sub><\/span>) <\/b><\/span><\/span><\/span>atingida pela <\/b><\/span><\/span><\/span>primeira bolinha<\/b><\/span><\/span><\/span> e o <\/b><\/span><\/span><\/span>instante de lan\u00e7amento da\u00a0 terceira bolinha.\u00a0 \u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>instante<\/b><\/span><\/span><\/span> e a <\/b><\/span><\/span><\/span>altura H,<\/b><\/span><\/span><\/span> indicada na <\/b><\/span><\/span><\/span>figura,<\/b><\/span><\/span><\/span> em que a <\/b><\/span><\/span><\/span>primeira e a segunda bolinha se cruzam.<\/b><\/span><\/span><\/span><\/p>\n

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

08-(FUVEST-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Numa <\/b><\/span><\/span><\/span>filmagem,<\/b><\/span><\/span><\/span> no <\/b><\/span><\/span><\/span>exato instante em que um caminh\u00e3o passa por uma marca no ch\u00e3o<\/b><\/span><\/span><\/span>, um <\/b><\/span><\/span><\/span>dubl\u00ea se larga<\/b><\/span><\/span><\/span> de um viaduto <\/b><\/span><\/span><\/span>para cair dentro de sua ca\u00e7amba. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>velocidade v do caminh\u00e3o \u00e9 constante <\/b><\/span><\/span><\/span>e o <\/b><\/span><\/span><\/span>dubl\u00ea inicia sua queda a partir do<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>repouso,<\/b><\/span><\/span><\/span> de uma <\/b><\/span><\/span><\/span>altura de 5 m da ca\u00e7amba, <\/b><\/span><\/span><\/span>que tem <\/b><\/span><\/span><\/span>6 m de comprimento.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

A <\/b><\/span><\/span><\/span>velocidade ideal do caminh\u00e3o <\/b><\/span><\/span><\/span>\u00e9 aquela em que o <\/b><\/span><\/span><\/span>dubl\u00ea cai bem no centro da ca\u00e7amba, <\/b><\/span><\/span><\/span>mas a <\/b><\/span><\/span><\/span>velocidade real v do caminh\u00e3o poder\u00e1 ser diferente <\/b><\/span><\/span><\/span>e ele <\/b><\/span><\/span><\/span>cair\u00e1 mais \u00e0 frente ou mais atr\u00e1s do centro da ca\u00e7amba. <\/b><\/span><\/span><\/span><\/p>\n

Para que o <\/b><\/span><\/span><\/span>dubl\u00ea caia dentro da ca\u00e7amba,<\/b><\/span><\/span><\/span> <\/b>v pode diferir da velocidade ideal, em m\u00f3dulo,<\/b><\/span><\/span><\/span> no <\/b><\/span><\/span><\/span>m\u00e1ximo:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

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

\"\"<\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>torneira,<\/b><\/span><\/span><\/span> situada a uma <\/b><\/span><\/span><\/span>altura de 1 m acima do solo,<\/b><\/span><\/span><\/span> <\/b>pinga<\/b><\/span><\/span><\/span> lentamente <\/b><\/span><\/span><\/span>\u00e0 raz\u00e3o de 3 gotas por minuto.<\/b><\/span><\/span><\/span><\/p>\n

(a)\u00a0Com<\/b><\/span><\/span><\/span> que <\/b><\/span><\/span><\/span>velocidade uma <\/b><\/span><\/span><\/span>gota <\/b><\/span><\/span><\/span>atinge o solo ?<\/b><\/span><\/span><\/span><\/p>\n

b) Que intervalo de tempo separa as batidas <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>duas gotas consecutivas no solo ? Considere,<\/b><\/span><\/span><\/span> para simplificar, <\/b><\/span><\/span><\/span>g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>proj\u00e9til \u00e9 atirado verticalmente, de baixo para cima,<\/b><\/span><\/span><\/span> com velocidade <\/b><\/span><\/span><\/span>v<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span>\u00a0= 25 m\/s. <\/b><\/span><\/span><\/span>Uma <\/b><\/span><\/span><\/span>pessoa <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

situada <\/b><\/span><\/span><\/span>a 30m de<\/b><\/span><\/span><\/span> <\/b>altura<\/b><\/span><\/span><\/span> <\/b>v\u00ea<\/b><\/span><\/span><\/span> passar na <\/b><\/span><\/span><\/span>subida<\/b><\/span><\/span><\/span> e, <\/b><\/span><\/span><\/span>ap\u00f3s<\/b><\/span><\/span><\/span> um <\/b><\/span><\/span><\/span>intervalo de tempo \"\"t,<\/b><\/span><\/span><\/span> <\/b>o v\u00ea voltar. Desprezando a resist\u00eancia do ar <\/b><\/span><\/span><\/span>e supondo a <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o local da gravidade de 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, o <\/b><\/span><\/span><\/span>tempo \"\"t decorrido entre as duas observa\u00e7\u00f5es <\/b><\/span><\/span><\/span>foi de: <\/b><\/span><\/span><\/span>(g = 10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>).<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

11-(UFMT-MT)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Dois proj\u00e9teis iguais <\/b><\/span><\/span><\/span>s\u00e3o <\/b><\/span><\/span><\/span>atirados da mesma posi\u00e7\u00e3o <\/b><\/span><\/span><\/span>( 40 m acima do solo ), <\/b><\/span><\/span><\/span>verticalmente, em sentidos opostos e com <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>mesma velocidade. <\/b><\/span><\/span><\/span><\/p>\n

Em <\/b><\/span><\/span><\/span>2 s o primeiro proj\u00e9til atinge o solo.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Depois de quanto tempo <\/b><\/span><\/span><\/span>da <\/b><\/span><\/span><\/span>chegada do primeiro o segundo atingir\u00e1 o solo? <\/b><\/span><\/span><\/span>( Despreze <\/b><\/span><\/span><\/span>qualquer tipo <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>atrito<\/b><\/span><\/span><\/span> e considere <\/b><\/span><\/span><\/span>g = 10 m\/s\u00b2<\/b><\/span><\/span><\/span>.)<\/b><\/span><\/span><\/span><\/p>\n

12-(ITA-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>corpo cai, em queda livre, <\/b><\/span><\/span><\/span>de uma <\/b><\/span><\/span><\/span>altura tal que durante o \u00faltimo segundo de queda ele percorre 1\/4 da altura total.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Calcular o tempo de queda, <\/b><\/span><\/span><\/span>supondo <\/b><\/span><\/span><\/span>nula a velocidade inicial do corpo.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>t=1\/(2 – \u221a3) s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>t=2\/(2 + \u221a3) s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>t=2\/(2 – \u221a3) s\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>t=3\/(2 – \u221a3) s\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>t=4\/(3 – \u221a3) s<\/b><\/span><\/span><\/span><\/p>\n

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

13-(ITA-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

De um <\/b><\/span><\/span><\/span>telhado caem gotas de chuva separadas por intervalos de tempo iguais entre si. <\/b><\/span><\/span><\/span><\/p>\n

No <\/b><\/span><\/span><\/span>momento em que a 5\u00ba gota <\/b><\/span><\/span><\/span>se <\/b><\/span><\/span><\/span>desprende, a primeira toca o solo. <\/b><\/span><\/span><\/span><\/p>\n

Qual a <\/b><\/span><\/span><\/span>dist\u00e2ncia que separa as duas \u00faltimas gotas consecutivas (4\u00b0 e 5\u00b0), nesse instante,<\/b><\/span><\/span><\/span> se a <\/b><\/span><\/span><\/span>altura do telhado \u00e9 de 20m? <\/b><\/span><\/span><\/span>g = 10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>corpo \u00e9 abandonado do topo de um precip\u00edcio. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>ru\u00eddo produzido pela queda do corpo ao atingir o ch\u00e3o \u00e9 ouvido 10s ap\u00f3s o seu abandono. <\/b><\/span><\/span><\/span><\/p>\n

Considerando a <\/b><\/span><\/span><\/span>velocidade do som no ar igual a 340m\/s, <\/b><\/span><\/span><\/span>pode se <\/b><\/span><\/span><\/span>afirmar<\/b><\/span><\/span><\/span> que a <\/b><\/span><\/span><\/span>altura do precip\u00edcio<\/b><\/span><\/span><\/span>, em <\/b><\/span><\/span><\/span>metros <\/b><\/span><\/span><\/span>\u00e9 aproximadamente
\n<\/b><\/span><\/span><\/span>a) <\/b><\/span><\/span><\/span>200\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

b) <\/b><\/span><\/span><\/span>288\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>391\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>423\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

e) <\/b><\/span><\/span><\/span>522<\/b><\/span><\/span><\/span><\/p>\n

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

15-(FISICAEVESTIBULAR)
\n\"\"<\/b><\/span><\/span><\/span>
\nUm <\/b><\/span><\/span><\/span>elevador est\u00e1 descendo com velocidade constante de 5m\/s. <\/b><\/span><\/span><\/span>Quando o <\/b><\/span><\/span><\/span>elevador est\u00e1 a uma altura de 10m do solo,<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

um <\/b><\/span><\/span><\/span>menino em seu interior joga uma bola verticalmente para cima, <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade inicial de 12m\/s em rela\u00e7\u00e3o ao elevador. Considere g = 10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>Qual a <\/b><\/span><\/span><\/span>altura atingida pela bola em rela\u00e7\u00e3o ao solo?<\/b><\/span><\/span><\/span><\/p>\n

b) Determine<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>altura do elevador sabendo que ela equivale \u00e0 metade da altura m\u00e1xima atingida pela bola, dentro do elevador, se ele n\u00e3o tivesse teto.<\/b><\/span><\/span><\/span><\/p>\n

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

16-(AFA-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>corpo \u00e9 abandonado do repouso <\/b><\/span><\/span><\/span>de uma <\/b><\/span><\/span><\/span>altura h acima do solo.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

No <\/b><\/span><\/span><\/span>mesmo instante outro \u00e9 lan\u00e7ado para cima, a partir do solo,<\/b><\/span><\/span><\/span> segundo a <\/b><\/span><\/span><\/span>mesma vertical <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade v.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Sabendo que os <\/b><\/span><\/span><\/span>corpos se encontram na metade da altura da descida do primeiro, <\/b><\/span><\/span><\/span>pode-se <\/b><\/span><\/span><\/span>afirmar que h<\/b><\/span><\/span><\/span> vale<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

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

MOVIMENTOS VERTICAIS FORMUL\u00c1RIO Exerc\u00edcios de vestibulares com resolu\u00e7\u00f5es comentadas sobre Movimentos Verticais 01-(CEFET-CE) Um elevador de bagagens sobe com velocidade constante de 5m\/s. Uma l\u00e2mpada se desprende do teto do elevador e cai livremente at\u00e9 o piso do mesmo. A acelera\u00e7\u00e3o local da gravidade \u00e9 de 10m\/s2. O tempo de queda da l\u00e2mpada \u00e9 de 0,5s. Determine a altura aproximada<\/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-2526","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2526","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=2526"}],"version-history":[{"count":3,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2526\/revisions"}],"predecessor-version":[{"id":2644,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2526\/revisions\/2644"}],"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=2526"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}