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A time varying force F=6t-2t^(2)N, at t=...

A time varying force `F=6t-2t^(2)N`, at t=0 starts acting on a body of mass 2kg initially at rest, where t is in second. The force is withdrawn just at the instant when the body comes to rest again. We can see that at `t=0` the force `F=0`. Now answer the following:
Find the time when the velocity attained by the body is maximum.

A

2s

B

3s

C

3.5s

D

4.5s

Text Solution

Verified by Experts

The correct Answer is:
B
If we draw F-t graph, we can see that upto `t=3s, force is positive, so velocity increase up to 3s and after that velocity starts decreasing. So at 3s, velocity is maximum.
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