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Figure shows the graph of acceleration o...

Figure shows the graph of acceleration of particle as a function of time. The maximum speed of the particle is (particle starts from rest).

A

`7 m//s`

B

`8 m//s`

C

`4 m//s`

D

`16 m//s`

Text Solution

Verified by Experts

The correct Answer is:
B
Maximum speed will occur at `t = 4 s`, because till then a is positive. Now change in velocity is area under accleration time graph, so
`v_(4s) - 0 = (1)/(2)[4 xx 4] = 8 rArr v_(4 s) = 8 m//s`.
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