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20 July, 22:39

The length covered by a body is found to be directly proportional to the square of time. What is the nature of acceleration?

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  1. 20 July, 22:41
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    Given that x α t², where x is displacement of body and t is time

    on removing α sign, x=bt² ... 1 ... where b is proportionality constant

    now differentiating 1 with respect to time we get,

    v=2bt where v is velocity

    now on further differentiating we get,

    a=2b where a is acceleration

    it means acceleration of body is constant, it is independent of time
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