Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant.
(a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/1000? (b) Find x(t). How far does the boat travel in this time? Let m=200 kg, v0=2 m/s, and b=0.2 Nm−2s2.