Two identical objects A and B fall from rest from different heights to the ground. If object B takes twice as long as object A to reach the

Question

Two identical objects A and B fall from rest from different heights to the ground. If object B takes twice as long as object A to reach the ground, what is the ratio of the heights from which A and B fell

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Mộc Miên 4 years 2021-09-02T20:53:29+00:00 1 Answers 348 views 0

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  1. thachthao
    0
    2021-09-02T20:55:25+00:00
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    Answer:

    1:4

    Explanation:

    We have, two identical objects A and B fall from rest from different heights to the ground.

    Object B takes twice as long as object A to reach the ground. It is required to find the ratio of the heights from which A and B fell. Let h_A\ \text{and}\ h_B are the height for A and B respectively. So,

    \dfrac{h_A}{h_B}=\dfrac{(1/2)gt_A^2}{(1/2)gt_B^2}\\\\\dfrac{h_A}{h_B}=\dfrac{t_A^2}{t_B^2}

    We have,

    t_B=2t_A

    So,

    \dfrac{h_A}{h_B}=\dfrac{t_A^2}{(2t_B)^2}\\\\\dfrac{h_A}{h_B}=\dfrac{1}{4}

    So, the ratio of the heights from which A and B fell is 1:4.

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