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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