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A particle of mass m moves with a variab...

A particle of mass `m` moves with a variable velocity v, which changes with distance covered x along a straight line as `v=ksqrtx`, where k is a positive constant. The work done by all the forces acting on the particle, during the first t seconds is

A

`(mk^(4)t^(2))/(4)`

B

`(mk^(2)t)/(2)`

C

`(ml^(4)t^(2))/(8)`

D

`(mk^(2)t^(2))/(4)`

Text Solution

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The correct Answer is:
C
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