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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 The force is withdrawn just at the instant when the body comes to rest again.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:
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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 The force is withdrawn just at the instant when the body comes to rest again.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 duration for which the force acts on the body.

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