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Suppose that the acceleration versus tim...

Suppose that the acceleration versus time graph of a particle that starts from rest at t = 0 is as shown in the figure :

At what instant does the particle come to rest for the first time ?

A

5 s

B

10 s

C

15 s

D

The particle never comes to rest

Text Solution

Verified by Experts

The correct Answer is:
C
From the given graph, it is clear that the area under the acceleration graph for a certain interval of time is equal to the charge in velocity during that time interval.
Let at time .t. speed become zero, then
`5 xx 10 - 10 xx (t - 10) = 0`
`50 - 10t + 100 = 0`
`t = (150)/(10)`
t = 15 s
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