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

Options

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