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    • The displacement x of a body varies with time x=-( 4/5)t2+16t+20.Find the time with velocity of body will become 0.
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    The displacement x of a body varies with time x=-( 4/5)t2+16t+20.Find the time with velocity of body will become 0.

    Subbanaidu 28th Feb, 2020
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    Answer (1)
    Shubham Dhane 28th Feb, 2020

    Hello,

    we know that the differentiation of speed with respect to time will give you velocity

    V=Dx/Dt

    Differentiate the given equation with respect to time you get

    V=-(8/5)t+16

    We need to find the time when the velocity of body becomes 0

    put V=0

    0=-(8/5)t+16

    16=(8/5)t

    t=(5/8)*16

    t=5*2

    t=10sec


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