01. Gangorra

1. Questão 180 – Prova Azul – ENEM 2013
Gangorra é um brinquedo que consiste em uma tábua longa e estreita equilibrada e fixada no seu ponto central (pivô). Nesse brinquedo, duas pessoas sentam-se nas extremidades e, alternadamente, impulsionam-se para cima, fazendo descer a extremidade oposta, realizando, assim, o movimento da gangorra.Considere a gangorra representada na figura, em que os pontos A e B são equidistantes do pivô:[center][img]data:image/png;base64,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[/img][/center][br]A projeção ortogonal da trajetória dos pontos A e B, sobre o plano do chão da gangorra, quando esta se encontra em movimento, é:

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