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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 the moment `t=0` the engine of the boat is shut down. Assuming the resistance of water is proportional to the velocity of the boat `vecF=-rvecv`
Q. The velocity `(v)` of the motor boat as a function of the distance (s) covered with the shutdown engine is

A

`v=v_(0)-(rs)/(m)`

B

`v=sqrt(v_(0)^(2)(r^(2)s^(2))/(m^(2)))`

C

`v=v_(0)e^((-rs)/(mv_(0)))`

D

none of these

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