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A body of mass m starts moving from rest...

A body of mass m starts moving from rest along x-axis so that its velocity varies as `v=asqrts` where is a constant and s is the distance covered by the body. The total work done by all the forces acting on the body in the first t seconds after the start of the motion is :

A

`W=(1)/(8)mk^(4)t^(2)`

B

`W=(1)/(4)m^(2)k^(4)t^(2)`

C

`W=(1)/(4)mk^(4)t^(4)`

D

`W=(1)/(8)mk^(4)t^(4)`

Text Solution

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The correct Answer is:
A
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