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A locomotive of mass m starts moving so ...

A locomotive of mass m starts moving so that its velocity varies according to the law `v=asqrts`, where a is a constant, and s is the distance covered. Find the total work performed by all the forces which are acting on the locomotive during the first t seconds after the beginning of motion.

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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