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.

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The correct Answer is:

`"["1/8"ma"^(4)r^(2)"]"`

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