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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