{"id":2548,"date":"2016-10-18T23:55:44","date_gmt":"2016-10-18T23:55:44","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2548"},"modified":"2024-09-02T15:15:42","modified_gmt":"2024-09-02T15:15:42","slug":"lancamento-obliquio-e-lancamento-horizontal","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/lancamento-obliquio-e-lancamento-horizontal\/","title":{"rendered":"Lan\u00e7amento obl\u00edquio e lan\u00e7amento horizontal"},"content":{"rendered":"

LAN\u00c7AMENTO OBL\u00cdQUO E LAN\u00c7AMENTO HORIZONTAL<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

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

Lan\u00e7amento Obl\u00edquo e Lan\u00e7amento Horizontal<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>caminh\u00e3o se desloca em movimento retil\u00edneo e horizontal, <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade constante de 20m\/s. Sobre<\/b><\/span><\/span><\/span> sua carroceria, est\u00e1 um <\/b><\/span><\/span><\/span>canh\u00e3o, postado para tiros verticais, conforme indica a figura. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>origem do sistema de coordenadas<\/b><\/span><\/span><\/span> <\/b>coincide com a boca do canh\u00e3o <\/b><\/span><\/span><\/span>e, no <\/b><\/span><\/span><\/span>instante t = 0,<\/b><\/span><\/span><\/span> ele <\/b><\/span><\/span><\/span>dispara um proj\u00e9til, <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade de 80m\/s. Despreze a resist\u00eancia do ar <\/b><\/span><\/span><\/span>e considere <\/b><\/span><\/span><\/span>g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

Determine<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>deslocamento horizontal do proj\u00e9til<\/b><\/span><\/span><\/span>, at\u00e9 ele <\/b><\/span><\/span><\/span>retornar \u00e0 altura de lan\u00e7amento,<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>rela\u00e7\u00e3o:<\/b><\/span><\/span><\/span><\/p>\n

a) ao caminh\u00e3o;<\/b><\/span><\/span><\/span><\/p>\n

b) ao solo.<\/b><\/span><\/span><\/span><\/p>\n

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

02-(UFF-RJ)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Ap\u00f3s um <\/b><\/span><\/span><\/span>ataque frustrado do time advers\u00e1rio, <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>goleiro <\/b><\/span><\/span><\/span>se prepara para <\/b><\/span><\/span><\/span>lan\u00e7ar a bola <\/b><\/span><\/span><\/span>e armar um contra ataque. <\/b><\/span><\/span><\/span><\/p>\n

Para <\/b><\/span><\/span><\/span>dificultar a recupera\u00e7\u00e3o da defesa advers\u00e1ria, <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>bola <\/b><\/span><\/span><\/span>deve <\/b><\/span><\/span><\/span>chegar aos p\u00e9s de um atacante <\/b><\/span><\/span><\/span>no <\/b><\/span><\/span><\/span>menor tempo poss\u00edvel. <\/b><\/span><\/span><\/span><\/p>\n

O <\/b><\/span><\/span><\/span>goleiro vai chutar a bola, <\/b><\/span><\/span><\/span>imprimindo <\/b><\/span><\/span><\/span>sempre a mesma velocidade, <\/b><\/span><\/span><\/span>e deve <\/b><\/span><\/span><\/span>controlar apenas o \u00e2ngulo de lan\u00e7amento. <\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>figura<\/b><\/span><\/span><\/span> mostra as <\/b><\/span><\/span><\/span>duas trajet\u00f3rias poss\u00edveis da bola num certo momento da partida.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

Assinale <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>alternativa que expressa se \u00e9 poss\u00edvel ou n\u00e3o <\/b><\/span><\/span><\/span>determinar <\/b><\/span><\/span><\/span>qual destes dois jogadores receberia bola no menor tempo. Despreze o efeito <\/b><\/span><\/span><\/span>da <\/b><\/span><\/span><\/span>resist\u00eancia do ar.<\/b><\/span><\/span><\/span><\/p>\n

(A) Sim,<\/b><\/span><\/span><\/span> \u00e9 poss\u00edvel, e o <\/b><\/span><\/span><\/span>jogador mais pr\u00f3ximo receberia a bola no menor tempo.<\/b><\/span><\/span><\/span><\/p>\n

(B) Sim,<\/b><\/span><\/span><\/span> \u00e9 poss\u00edvel, e o <\/b><\/span><\/span><\/span>jogador mais distante receberia a bola no menor tempo.<\/b><\/span><\/span><\/span><\/p>\n

(C) <\/b><\/span><\/span><\/span>Os <\/b><\/span><\/span><\/span>dois jogadores<\/b><\/span><\/span><\/span> receberiam a bola <\/b><\/span><\/span><\/span>em tempos iguais.<\/b><\/span><\/span><\/span><\/p>\n

(D) N\u00e3o, <\/b><\/span><\/span><\/span>pois <\/b><\/span><\/span><\/span>\u00e9 necess\u00e1rio conhecer os valores da velocidade inicial e dos \u00e2ngulos de lan\u00e7amento.<\/b><\/span><\/span><\/span><\/p>\n

(E) N\u00e3o, <\/b><\/span><\/span><\/span>pois <\/b><\/span><\/span><\/span>\u00e9 necess\u00e1rio conhecer o valor da velocidade inicial.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Este <\/b><\/span><\/span><\/span>enunciado refere-se \u00e0s quest\u00f5es de n\u00fameros 03 e 04. <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>trem<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>alta velocidade desloca-se <\/b><\/span><\/span><\/span>ao longo de um <\/b><\/span><\/span><\/span>trecho retil\u00edneo a uma velocidade constante de 108 km\/h. <\/b><\/span><\/span><\/span><\/p>\n

Um <\/b><\/span><\/span><\/span>passageiro em repouso <\/b><\/span><\/span><\/span>arremessa <\/b><\/span><\/span><\/span>horizontalmente ao piso do vag\u00e3o, <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>uma altura de 1 m, <\/b><\/span><\/span><\/span>na <\/b><\/span><\/span><\/span>mesma dire\u00e7\u00e3o e sentido do deslocamento do trem, <\/b><\/span><\/span><\/span>uma <\/b><\/span><\/span><\/span>bola <\/b><\/span><\/span><\/span>de borracha que <\/b><\/span><\/span><\/span>atinge esse piso a uma dist\u00e2ncia de 5 m do ponto de arremesso.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Se a <\/b><\/span><\/span><\/span>bola fosse arremessada <\/b><\/span><\/span><\/span>na <\/b><\/span><\/span><\/span>mesma dire\u00e7\u00e3o, mas em sentido oposto <\/b><\/span><\/span><\/span>ao do <\/b><\/span><\/span><\/span>deslocamento do trem,<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>dist\u00e2ncia, em metros, entre o ponto em que a bola atinge o piso e o ponto de arremesso seria igual a:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

(\u00a004-(UERJ-RJ)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O <\/b><\/span><\/span><\/span>intervalo de tempo, <\/b><\/span><\/span><\/span>em <\/b><\/span><\/span><\/span>segundos, <\/b><\/span><\/span><\/span>que a <\/b><\/span><\/span><\/span>bola leva para atingir o piso<\/b><\/span><\/span><\/span> \u00e9 cerca de:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a005-(UFC-CE)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>part\u00edcula pontual<\/b><\/span><\/span><\/span> \u00e9 <\/b><\/span><\/span><\/span>lan\u00e7ada de um plano inclinado <\/b><\/span><\/span><\/span>conforme esquematizado <\/b><\/span><\/span><\/span>na figura a seguir<\/b><\/span><\/span><\/span>. O <\/b><\/span><\/span><\/span>plano tem um<\/b><\/span><\/span><\/span> <\/b>\u00e2ngulo de inclina\u00e7\u00e3o \u03b8 em rela\u00e7\u00e3o \u00e0 horizontal, e a part\u00edcula \u00e9 lan\u00e7ada, com velocidade de m\u00f3dulo v, numa dire\u00e7\u00e3o que forma um \u00e2ngulo de inclina\u00e7\u00e3o \u03b1 em rela\u00e7\u00e3o ao plano inclinado.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Despreze <\/b><\/span><\/span><\/span>qualquer efeito da <\/b><\/span><\/span><\/span>resist\u00eancia do ar.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Considere que <\/b><\/span><\/span><\/span>a acelera\u00e7\u00e3o da gravidade local <\/b><\/span><\/span><\/span>\u00e9 <\/b><\/span><\/span><\/span>constante<\/b><\/span><\/span><\/span> (m\u00f3dulo igual a g, dire\u00e7\u00e3o vertical, sentido para baixo).\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>Considerando o <\/b><\/span><\/span><\/span>eixo x na horizontal, o eixo y na vertic<\/b><\/span><\/span><\/span>al e a <\/b><\/span><\/span><\/span>origem<\/b><\/span><\/span><\/span> do <\/b><\/span><\/span><\/span>sistema de coordenadas cartesianas no ponto de lan\u00e7amento, determine<\/b><\/span><\/span><\/span> as <\/b><\/span><\/span><\/span>equa\u00e7\u00f5es hor\u00e1rias das coordenadas da part\u00edcula, <\/b><\/span><\/span><\/span>assumindo que <\/b><\/span><\/span><\/span>o tempo \u00e9 contado a partir do instante de lan\u00e7amento.<\/b><\/span><\/span><\/span><\/p>\n

b) Determine<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>equa\u00e7\u00e3o da trajet\u00f3ria da part\u00edcula <\/b><\/span><\/span><\/span>no <\/b><\/span><\/span><\/span>sistema de coordenadas <\/b><\/span><\/span><\/span>definido no <\/b><\/span><\/span><\/span>item (a).<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>bola de t\u00eanis rebatida <\/b><\/span><\/span><\/span>numa das <\/b><\/span><\/span><\/span>extremidades da quadra <\/b><\/span><\/span><\/span>descreve a <\/b><\/span><\/span><\/span>trajet\u00f3ria representada <\/b><\/span><\/span><\/span>na <\/b><\/span><\/span><\/span>figura a seguir, <\/b><\/span><\/span><\/span>atingindo o <\/b><\/span><\/span><\/span>ch\u00e3o na outra extremidade da quadra. <\/b><\/span><\/span><\/span><\/p>\n

O comprimento da quadra \u00e9 de 24 m.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) <\/b><\/span><\/span><\/span>Calcule o <\/b><\/span><\/span><\/span>tempo de v\u00f4o da bola, antes de atingir o ch\u00e3o. Desconsidere <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>resist\u00eancia <\/b><\/span><\/span><\/span>do ar nesse caso.<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>Qual \u00e9 a <\/b><\/span><\/span><\/span>velocidade horizontal da bola no caso acima?<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>roda de raio R rola uniformemente,<\/b><\/span><\/span><\/span> sem escorregar, ao <\/b><\/span><\/span><\/span>longo de uma superf\u00edcie horizontal. <\/b><\/span><\/span><\/span><\/p>\n

Do <\/b><\/span><\/span><\/span>ponto A da roda se desprende uma gota de barro, como mostra <\/b><\/span><\/span><\/span>a figurar.<\/b><\/span><\/span><\/span><\/p>\n

Com que velocidade v <\/b><\/span><\/span><\/span>deve se <\/b><\/span><\/span><\/span>deslocar a roda, <\/b><\/span><\/span><\/span>se a <\/b><\/span><\/span><\/span>gota, depois de lan\u00e7ada ao espa\u00e7o, volta<\/b><\/span><\/span><\/span> a cair <\/b><\/span><\/span><\/span>sobre o mesmo ponto da roda ap\u00f3s efetuar uma volta? <\/b><\/span><\/span><\/span>Considere <\/b><\/span><\/span><\/span>desprez\u00edvel a resist\u00eancia do ar.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

O <\/b><\/span><\/span><\/span>esquema apresenta uma correia <\/b><\/span><\/span><\/span>que <\/b><\/span><\/span><\/span>transporta min\u00e9rio, lan\u00e7ando-<\/b><\/span><\/span><\/span>o no <\/b><\/span><\/span><\/span>recipiente R.<\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>velocidade da correia \u00e9 constante. <\/b><\/span><\/span><\/span>Para que <\/b><\/span><\/span><\/span>todo o min\u00e9rio caia dentro do recipiente, <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>velocidade v da correia, dada em m\/s<\/b><\/span><\/span><\/span>, deve <\/b><\/span><\/span><\/span>satisfazer<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>desigualdade:<\/b><\/span><\/span><\/span>\"\"<\/p>\n

a) <\/b><\/span><\/span><\/span>2 < v < 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

\u00a0b) <\/b><\/span><\/span><\/span>2 < v < 5\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> 1 < v < 3\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) 1 < v < 4\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) 1 < v < 5<\/b><\/span><\/span><\/span><\/p>\n

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

09-(UERJ-RJ)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>avi\u00e3o,<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>trajet\u00f3ria retil\u00ednea paralela \u00e0 superf\u00edcie horizontal do solo, <\/b><\/span><\/span><\/span>sobrevoa uma <\/b><\/span><\/span><\/span>regi\u00e3o com <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

velocidade constante igual a 360 km\/h.<\/b><\/span><\/span><\/span><\/p>\n

Tr\u00eas pequenas caixas <\/b><\/span><\/span><\/span>s\u00e3o <\/b><\/span><\/span><\/span>largadas,<\/b><\/span><\/span><\/span> com <\/b><\/span><\/span><\/span>velocidade inicial nula, <\/b><\/span><\/span><\/span>de um <\/b><\/span><\/span><\/span>compartimento na base do avi\u00e3o, uma a uma, a intervalos regulares iguais a 1 segundo.<\/b><\/span><\/span><\/span><\/p>\n

<\/a> Desprezando-se os efeitos do ar <\/b><\/span><\/span><\/span>no movimento de <\/b><\/span><\/span><\/span>queda das caixas, <\/b><\/span><\/span><\/span>determine as <\/b><\/span><\/span><\/span>dist\u00e2ncias entre os respectivos pontos de impacto das caixas no solo.<\/b><\/span><\/span><\/span><\/p>\n

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

10-(FISICA E VESTIBULAR)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Se, com <\/b><\/span><\/span><\/span>um arco e flecha, voc\u00ea mirar a flecha diretamente para o alvo fixo (figura 1), a flecha atingir\u00e1 o ponto visado? <\/b><\/span><\/span><\/span><\/p>\n

Por outro lado, se <\/b><\/span><\/span><\/span>voc\u00ea mirar a flecha diretamente para uma ma\u00e7\u00e3 em queda livre (figura 2), a flecha a atingir\u00e1?<\/b><\/span><\/span><\/span><\/p>\n

Justifique.<\/b><\/span><\/span><\/span><\/p>\n

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

11-(UFJF-MG)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Durante uma <\/b><\/span><\/span><\/span>partida de futebol, um jogador, <\/b><\/span><\/span><\/span>percebendo que o <\/b><\/span><\/span><\/span>goleiro do time advers\u00e1rio est\u00e1 longe do gol, <\/b><\/span><\/span><\/span>resolve <\/b><\/span><\/span><\/span>tentar um chute de longa dist\u00e2ncia (vide figura).<\/b><\/span><\/span><\/span> <\/b><\/p>\n

O <\/b><\/span><\/span><\/span>jogador se encontra a 40 m do goleiro.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

O <\/b><\/span><\/span><\/span>vetor velocidade inicial da bola tem m\u00f3dulo V<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span>= 26 m\/s <\/b><\/span><\/span><\/span>e faz um <\/b><\/span><\/span><\/span>\u00e2ngulo de 25\u00b0 com a horizontal, como mostra a figura a seguir.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Desprezando a<\/b><\/span><\/span><\/span> resist\u00eancia do ar, <\/b><\/span><\/span><\/span>considerando a <\/b><\/span><\/span><\/span>bola pontual <\/b><\/span><\/span><\/span>e usando <\/b><\/span><\/span><\/span>cos 25\u00b0 = 0,91, sen 25\u00b0 = 0,42 e g=10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>Fa\u00e7a o <\/b><\/span><\/span><\/span>diagrama de for\u00e7as sobre a bola num ponto qualquer da trajet\u00f3ria durante o seu v\u00f4o, ap\u00f3s <\/b><\/span><\/span><\/span>ter sido <\/b><\/span><\/span><\/span>chutada. Identifique a(s) for\u00e7a(s).<\/b><\/span><\/span><\/span><\/p>\n

b) Saltando com os bra\u00e7os esticados,<\/b><\/span><\/span><\/span> o goleiro pode atingir a <\/b><\/span><\/span><\/span>altura de 3,0 m. <\/b><\/span><\/span><\/span>Ele <\/b><\/span><\/span><\/span>consegue tocar a bola quando ela passa sobre ele? Justifique.<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>Se a <\/b><\/span><\/span><\/span>bola passar pelo goleiro, <\/b><\/span><\/span><\/span>ela <\/b><\/span><\/span><\/span>atravessar\u00e1 a linha de gol a uma altura de 1,5 m do ch\u00e3o. <\/b><\/span><\/span><\/span><\/p>\n

A que <\/b><\/span><\/span><\/span>dist\u00e2ncia o jogador se encontrava da linha de gol, quando chutou a bola? <\/b><\/span><\/span><\/span>(Nota: a <\/b><\/span><\/span><\/span>linha de gol <\/b><\/span><\/span><\/span>est\u00e1 <\/b><\/span><\/span><\/span>atr\u00e1s do goleiro).<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Dois amigos, <\/b><\/span><\/span><\/span>Berst\u00e1quio e Prot\u00e1sio, <\/b><\/span><\/span><\/span>distam de <\/b><\/span><\/span><\/span>25,5m. <\/b><\/span><\/span><\/span><\/p>\n

Berst\u00e1quio lan\u00e7a obliquamente uma bola para Prot\u00e1sio que, partindo do repouso, desloca-se ao encontro da bola para segur\u00e1-la. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

No <\/b><\/span><\/span><\/span>instante do lan\u00e7amento, <\/b><\/span><\/span><\/span>a dire\u00e7\u00e3o da bola lan\u00e7ada por <\/b><\/span><\/span><\/span>Berst\u00e1quio formava um \u00e2ngulo \u03b8 <\/b><\/span><\/span><\/span>com a <\/b><\/span><\/span><\/span>horizontal,<\/b><\/span><\/span><\/span> o que permitiu que <\/b><\/span><\/span><\/span>ela \u00a0alcan\u00e7asse, em rela\u00e7\u00e3o ao ponto de lan\u00e7amento, a \u00a0altura m\u00e1xima de 11,25m e uma velocidade de 8m\/s \u00a0nessa posi\u00e7\u00e3o. <\/b><\/span><\/span><\/span><\/p>\n

Desprezando<\/b><\/span><\/span><\/span> o atrito da bola com o ar e adotando <\/b><\/span><\/span><\/span>g = 10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, <\/b><\/span><\/span><\/span>podemos <\/b><\/span><\/span><\/span>afirmar que a acelera\u00e7\u00e3o de Prot\u00e1sio, suposta constante, para que ele consiga pegar a bola no mesmo n\u00edvel do lan\u00e7amento<\/b><\/span><\/span><\/span><\/p>\n

deve ser de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

13-(FUVEST-SP)<\/b><\/span><\/span><\/span> Um <\/b><\/span><\/span><\/span>motociclista de MotoCross,<\/b><\/span><\/span><\/span> move-se com <\/b><\/span><\/span><\/span>velocidade V = 10 m\/s, <\/b><\/span><\/span><\/span>sobre uma <\/b><\/span><\/span><\/span>superf\u00edcie plana, at\u00e9 atingir uma rampa (em A), inclinada de 45<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>\u00a0com a horizontal, <\/b><\/span><\/span><\/span>como indicado na <\/b><\/span><\/span><\/span>figura.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>trajet\u00f3ria do motociclista dever\u00e1 atingir novamente <\/b><\/span><\/span><\/span>a rampa a uma <\/b><\/span><\/span><\/span>dist\u00e2ncia horizontal D (D=H), <\/b><\/span><\/span><\/span>do <\/b><\/span><\/span><\/span>ponto A, aproximadamente <\/b><\/span><\/span><\/span>igual a: <\/b><\/span><\/span><\/span>(g=10m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>)<\/b><\/span><\/span><\/span><\/p>\n

a) 20m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) 15m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

c) 10m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) 7,5m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e) 5m<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

\"\"<\/p>\n

Dois rapazes brincam de t\u00eanis na praia. <\/b><\/span><\/span><\/span><\/p>\n

Um deles d\u00e1 uma <\/b><\/span><\/span><\/span>raquetada na bola a 2,45 m de altura e esta sai horizontalmente com velocidade de 72 km\/h. <\/b><\/span><\/span><\/span><\/p>\n

Qual deve ser a <\/b><\/span><\/span><\/span>velocidade m\u00ednima do outro rapaz, situado inicialmente 20,3 m \u00e0 frente do primeiro, <\/b><\/span><\/span><\/span>para que <\/b><\/span><\/span><\/span>consiga aparar a bola antes que ela bata na areia?<\/b><\/span><\/span><\/span> (Adote <\/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

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

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>proj\u00e9til 1 se move em linha reta, a 1125m do solo, com velocidade horizontal V =1080 km\/h<\/b><\/span><\/span><\/span><\/p>\n

No solo existe um proj\u00e9til 2 <\/b><\/span><\/span><\/span>que \u00e9 <\/b><\/span><\/span><\/span>disparado com velocidade de 540 km\/h, <\/b><\/span><\/span><\/span>exatamente quando o <\/b><\/span><\/span><\/span>proj\u00e9til 1 est\u00e1 passando sobre ele na mesma vertical<\/b><\/span><\/span><\/span>. Despreze a <\/b><\/span><\/span><\/span>resist\u00eancia do ar, as dimens\u00f5es dos dois proj\u00e9teis e <\/b><\/span><\/span><\/span>considere<\/b><\/span><\/span><\/span> g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

a) Calcule o \u00e2ngulo <\/b><\/span><\/span><\/span>com que deve ser <\/b><\/span><\/span><\/span>lan\u00e7ado o proj\u00e9til 2 com o solo para que atinja o proj\u00e9til 1.<\/b><\/span><\/span><\/span><\/p>\n

b) Localize o ponto do impacto entre os dois proj\u00e9teis <\/b><\/span><\/span><\/span>num plano de <\/b><\/span><\/span><\/span>coordenadas cartesianas <\/b><\/span><\/span><\/span>com a <\/b><\/span><\/span><\/span>origem no ponto de lan\u00e7amento do proj\u00e9til 2.<\/b><\/span><\/span><\/span><\/p>\n

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

16-(UFMG-MG)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>cano de irriga\u00e7\u00e3o,<\/b><\/span><\/span><\/span> enterrado no solo, <\/b><\/span><\/span><\/span>ejeta \u00e1gua a uma taxa de 15 litros por minuto com uma velocidade de 10 m\/s.<\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>sa\u00edda do cano \u00e9 apontada para cima fazendo um \u00e2ngulo de 30\u00b0 com o solo, <\/b><\/span><\/span><\/span>como mostra a figura. Despreze a <\/b><\/span><\/span><\/span>resist\u00eancia do ar e considere g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>, sen 30\u00b0 = 0,50 e cos 30\u00b0 = 0,87.<\/b><\/span><\/span><\/span><\/p>\n

Calcule <\/b><\/span><\/span><\/span>quantos litros de \u00e1gua estar\u00e3o no ar na situa\u00e7\u00e3o em que o jato d\u2019\u00e1gua \u00e9 cont\u00ednuo do cano ao solo.<\/b><\/span><\/span><\/span><\/p>\n

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

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

17-(UFG-GO)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Os <\/b><\/span><\/span><\/span>quatro blocos, representados na figura com suas respectivas massas<\/b><\/span><\/span><\/span>, s\u00e3o <\/b><\/span><\/span><\/span>abandonados <\/b><\/span><\/span><\/span>em um <\/b><\/span><\/span><\/span>plano inclinado que n\u00e3o apresenta atrito e termina voltado para a dire\u00e7\u00e3o horizontal.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Os <\/b><\/span><\/span><\/span>blocos,<\/b><\/span><\/span><\/span> ao <\/b><\/span><\/span><\/span>deixarem a plataforma, <\/b><\/span><\/span><\/span>descrevem <\/b><\/span><\/span><\/span>trajet\u00f3rias parab\u00f3licas em queda livre <\/b><\/span><\/span><\/span>e alcan\u00e7am o <\/b><\/span><\/span><\/span>solo, formando, da esquerda para a direita, a seq\u00fc\u00eancia:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>m; 5m; 2m; 3m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>m; 2m; 3m; 5m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>3m; 2m; 5m; m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>3m; 5m; m; 2m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>5m; 3m; 2m; m<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>bola de golfe \u00e9 jogada do alto de uma escada <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade horizontal de 3m\/s. <\/b><\/span><\/span><\/span><\/p>\n

Cada degrau tem 30cm <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>comprimento<\/b><\/span><\/span><\/span> (profundidade, passo)) e <\/b><\/span><\/span><\/span>18 cm de altura <\/b><\/span><\/span><\/span>(espelho). <\/b><\/span><\/span><\/span><\/p>\n

Despreze a <\/b><\/span><\/span><\/span>resist\u00eancia do ar, <\/b><\/span><\/span><\/span>considere <\/b><\/span><\/span><\/span>g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0<\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>determine que degrau a bola tocar\u00e1 primeiro.<\/b><\/span><\/span><\/span><\/p>\n

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

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

\"\"<\/p>\n

Em um <\/b><\/span><\/span><\/span>campeonato recente de v\u00f4o de precis\u00e3o<\/b><\/span><\/span><\/span>, os pilotos de avi\u00e3o <\/b><\/span><\/span><\/span>deveriam “atirar” um saco de areia dentro de um alvo <\/b><\/span><\/span><\/span>localizado<\/b><\/span><\/span><\/span> no solo.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Supondo que o <\/b><\/span><\/span><\/span>avi\u00e3o voe horizontalmente a 500 m de altitude com uma velocidade de 144 km\/h <\/b><\/span><\/span><\/span>e que o <\/b><\/span><\/span><\/span>saco \u00e9 deixado cair do avi\u00e3o, <\/b><\/span><\/span><\/span>ou seja, no <\/b><\/span><\/span><\/span>instante do “tiro” a componente vertical do vetor velocidade \u00e9 zero,<\/b><\/span><\/span><\/span> podemos <\/b><\/span><\/span><\/span>afirmar que: (<\/b><\/span><\/span><\/span>Considere a <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o da gravidade g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0<\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>despreze<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>resist\u00eancia do ar)<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> <\/b>o <\/b><\/span><\/span><\/span>saco deve ser lan\u00e7ado <\/b><\/span><\/span><\/span>quando o avi\u00e3o se <\/b><\/span><\/span><\/span>encontra a 100 m do alvo;<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>saco deve ser lan\u00e7ado <\/b><\/span><\/span><\/span>quando o avi\u00e3o se <\/b><\/span><\/span><\/span>encontra a 200 m do alvo;<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>saco deve ser lan\u00e7ado <\/b><\/span><\/span><\/span>quando o avi\u00e3o se <\/b><\/span><\/span><\/span>encontra a 300 m do alvo;<\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>saco deve ser lan\u00e7ado <\/b><\/span><\/span><\/span>quando o avi\u00e3o se <\/b><\/span><\/span><\/span>encontra a 400 m do alvo;<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>saco deve ser lan\u00e7ado <\/b><\/span><\/span><\/span>quando o avi\u00e3o se <\/b><\/span><\/span><\/span>encontra a 500 m do alvo.<\/b><\/span><\/span><\/span><\/p>\n

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

20-(UFAM-AM)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma\u00a0<\/b><\/span><\/span><\/span>bola de futebol com 450\u00a0<\/b><\/span><\/span><\/span>g\u00a0<\/b><\/i><\/span><\/span><\/span>de massa,\u00a0inicialmente em repouso, <\/b><\/span><\/span><\/span>\u00e9 <\/b><\/span><\/span><\/span>chutada obliquamente <\/b><\/span><\/span><\/span>para <\/b><\/span><\/span><\/span>cima<\/b><\/span><\/span><\/span> com\u00a0<\/b><\/span><\/span><\/span>velocidade inicial de 20<\/b><\/span><\/span><\/span>m\/s<\/b><\/i><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span> A <\/b><\/span><\/span><\/span>bola atinge\u00a0altura m\u00e1xima de 10<\/b><\/span><\/span><\/span>m\u00a0<\/b><\/i><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>atinge<\/b><\/span><\/span><\/span> uma\u00a0<\/b><\/span><\/span><\/span>parede vertical 2<\/b><\/span><\/span><\/span>s\u00a0<\/b><\/i><\/span><\/span><\/span>ap\u00f3s o chute.\u00a0<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Desprezando <\/b><\/span><\/span><\/span>a resist\u00eancia do ar, <\/b><\/span><\/span><\/span><\/p>\n

podemos afirmar que a\u00a0dist\u00e2ncia do ponto de lan\u00e7amento da bola at\u00e9 a parede\u00a0\u00e9 aproximadamente <\/b><\/span><\/span><\/span>igual a:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>40<\/b><\/span><\/span><\/span>m\u00a0<\/b><\/i><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>28<\/b><\/span><\/span><\/span>m\u00a0<\/b><\/i><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>20<\/b><\/span><\/span><\/span>m\u00a0<\/b><\/i><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>10<\/b><\/span><\/span><\/span>m\u00a0<\/b><\/i><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>14<\/b><\/span><\/span><\/span>m<\/b><\/i><\/span><\/span><\/span><\/p>\n

21-(UPF-RS)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere um\u00a0<\/b><\/span><\/span><\/span>vag\u00e3o\u00a0deslocando-se em uma\u00a0trajet\u00f3ria retil\u00ednea <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>velocidade constante e igual a 5 m\/s. <\/b><\/span><\/span><\/span><\/p>\n

Um\u00a0<\/b><\/span><\/span><\/span>observador, A,dentro dele, lan\u00e7a <\/b><\/span><\/span><\/span>uma\u00a0<\/b><\/span><\/span><\/span>pedra verticalmente para cima. <\/b><\/span><\/span><\/span><\/p>\n

Um outro\u00a0<\/b><\/span><\/span><\/span>observador, B, do lado de fora do vag\u00e3o <\/b><\/span><\/span><\/span>e em <\/b><\/span><\/span><\/span>repouso\u00a0em rela\u00e7\u00e3o \u00e0 Terra,<\/b><\/span><\/span><\/span> observa o <\/b><\/span><\/span><\/span>vag\u00e3o<\/b><\/span><\/span><\/span> <\/b>passar.<\/b><\/span><\/span><\/span> <\/b><\/p>\n

Sendo <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>\u00a0e V<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span>\u00a0, respectivamente, <\/b><\/span><\/span><\/span>as\u00a0<\/b><\/span><\/span><\/span>velocidades da pedra no ponto mais alto <\/b><\/span><\/span><\/span>de sua trajet\u00f3ria <\/b><\/span><\/span><\/span>em rela\u00e7\u00e3o a cada observador, <\/b><\/span><\/span><\/span>pode-se concluir que:<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>\u00a0= 0 e V<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span>\u00a0= 0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>\u00a0= 0 e V<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span>\u00a0= 5 m\/s <\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>\u00a0= 5 m\/s e V<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span>\u00a0= 0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>\u00a0= 5 m\/s e V<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span>\u00a0= 5m\/s<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>V<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>\u00a0= 0 e V<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span>\u00a0= 10 m\/s<\/b><\/span><\/span><\/span><\/p>\n

22-(UEFS-BA)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um\u00a0<\/b><\/span><\/span><\/span>goleiro chuta uma bola,\u00a0<\/b><\/span><\/span><\/span>que se encontra <\/b><\/span><\/span><\/span>parada no gramado,\u00a0<\/b><\/span><\/span><\/span>para um <\/b><\/span><\/span><\/span>jogador situado a\u00a057,0m\u00a0da<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

posi\u00e7\u00e3o do goleiro.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>bola \u00e9 lan\u00e7ada com velocidade\u00a0de 20,0m\/s, <\/b><\/span><\/span><\/span>fazendo um\u00a0<\/b><\/span><\/span><\/span>\u00e2ngulo de 45\u00b0\u00a0com o plano horizontal.<\/b><\/span><\/span><\/span><\/p>\n

Desprezando-se <\/b><\/span><\/span><\/span>a\u00a0resist\u00eancia do ar, considerando-se o <\/b><\/span><\/span><\/span>m\u00f3dulo da\u00a0acelera\u00e7\u00e3o da gravidade local <\/b><\/span><\/span><\/span>igual a <\/b><\/span><\/span><\/span>10,0m\/s<\/b><\/span><\/span><\/span>2\u00a0<\/b><\/span><\/span><\/sup><\/span>e sabendo-se que\u00a0sen45\u00b0 = cos45\u00b0 = \u221a2\/2<\/b><\/span><\/span><\/span>, o\u00a0<\/b><\/span><\/span><\/span>m\u00f3dulo<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/sup><\/span>da <\/b><\/span><\/span><\/span>velocidade\u00a0do jogador para\u00a0alcan\u00e7ar a bola,\u00a0no instante em que ela toca o gramado,<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/sup><\/span>em <\/b><\/span><\/span><\/span>m\/s,<\/b><\/span><\/span><\/span>\u00a0deve ser de, <\/b><\/span><\/span><\/span>aproximadamente,<\/b><\/span><\/span><\/span><\/p>\n

A) <\/b><\/span><\/span><\/span>4,0 <\/b><\/span><\/span><\/span>B) <\/b><\/span><\/span><\/span>5,0 <\/b><\/span><\/span><\/span>C) <\/b><\/span><\/span><\/span>6,0 <\/b><\/span><\/span><\/span>D) <\/b><\/span><\/span><\/span>7,0 <\/b><\/span><\/span><\/span>E) <\/b><\/span><\/span><\/span>8,0<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

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

LAN\u00c7AMENTO OBL\u00cdQUO E LAN\u00c7AMENTO HORIZONTAL Exerc\u00edcios de vestibulares com resolu\u00e7\u00f5es comentadas sobre Lan\u00e7amento Obl\u00edquo e Lan\u00e7amento Horizontal 01-(CEFET-CE) Um caminh\u00e3o se desloca em movimento retil\u00edneo e horizontal, com velocidade constante de 20m\/s. Sobre sua carroceria, est\u00e1 um canh\u00e3o, postado para tiros verticais, conforme indica a figura. A origem do sistema de coordenadas coincide com a boca do canh\u00e3o e, no<\/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-2548","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2548","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=2548"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2548\/revisions"}],"predecessor-version":[{"id":2553,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2548\/revisions\/2553"}],"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=2548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}