A locomotive of mass 'm' starts moving so that its velocity varies as `V = Ksqrt(S)` , where 'K' is a constant and 'S', is the distance traversed. The total work done by all the forces acting on the locomotive during the first 't' seconds after the start of motion is,

Options

A. `(1)/(2)mK^(4)t^(2)`
B. `(1)/(4)mK^(4)t^(2)`
C. `(1)/(8)mK^(4)t^(2)`
D. `(1)/(16)mK^(4)t^(2)`

Answer

C