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A motor boat of mass m moves along a lak...

A motor boat of mass m moves along a lake with velocity `V_(0)`. At `t = 0`, the engine of the boat is shut down. Magnitude of resistance force offered to the boat is equal to rV. (V is instantaneous speed). What is the total distance covered till it stops completely? [Hint: `F(x) = mV(dV)/(dx) =- rV]`

A

`mV_(0)//r`

B

`3mV_(0)//2r`

C

`mV_(0)//2r`

D

`2mV_(0)//r`

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