A large oil tanker, of mass 10^8 kg, is travelling in the open ocean at a speed of 10m/s when its engines fail suddenly. The water exerts a retarding force of magnitude Cv on the tanker, where C= 3*10^5 Ns/m and v is the speed of the tanker.
(a) Write down the equation of motion of the tanker
(b) Solve the equation to obtain the speed of the tanker as a function of the time elapsed since the engine failure. Hence find the position of the tanker as a function of time elapsed.
(c) How far will the tanker move before it finally comes to rest?