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The displacement y (in metre) of a body ...

The displacement y (in metre) of a body varies with time t (in seconds) as `y = -(2)/(3)t^(2)16t+2`.  The body comes to rest in a time 

A

8s

B

10s

C

12s

D

14s

Text Solution

Verified by Experts

The correct Answer is:
C
According to the queation `y = -(2)/(3)t^(2)+ 16t+2`
Compare it with standard equation: `X= ut+(1)/(2)at^(2)`
We have : `u=16ms^(-1), (a)/(2)=-(2)/(3)` or
`a=-(4)/(3)ms^(-2)` for a body to come to rest , V = 0 Using above values in V = u at we get
`0=16+(-(4)/(3))t` or t =12sec
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