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At time t=0 s a car passes a point with ...

At time `t=0` s a car passes a point with velocity of `16 m//s` and thereafter slows down with acceleration `a=-0.5t m//s^(2)` ,where `t` is in seconds. It stops at the instant `t=`

A

`32 s`

B

`16 s`

C

`8.0 s`

D

`4.0 s`

Text Solution

Verified by Experts

The correct Answer is:
C
`a-t` graph

Area `=(-t^(2))/(4)=` change in velocity
`rArr` Final velocity `=16-(t^(2))/(4)=0`
`rArr t=8 sec.`
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