A car of mass 1200 kg is started from rest and pulled on the level ground by an engine. The resistance of the motion is Kv, where v(m/s) is the velocity of the car at time t(s). The power of the engine is constant and equal to 80000 watts. a) How does P, the power of the engine connect to F, the Driving Force? b) By Newton's Second Law of Motions, write down the Differential Equation which describes the Motion. c)State the condition for the maximum velocity to occur in this motion. d) If the maximum velocity of the motion is 144km/h, find the value of k. e)Solve the Differential Equation for x in terms of v. f) Draw a graph of x against v. g)State 2 characteristics of the graph. h) Hence find the distance which a velocity of 15m/s can be reached from rest.