A motor car has a mass of 1000kg and the road wheels have a radius of 360mm. The engine rotating parts have a moment of inertia of 0.3kgm- and the four road wheels together have a moment of inertia of 3.6kem. The gear ratio from engine to back axle is 5.5 and, when the car speed is v m/s, the engine torque available for propulsion is (88-0.044v-)Nm and the resistance to motion is (245+0.96V )N. Determine: a) The acceleration of the car at a speed of 12m/s on a level road and, b) The time required to increase the speed of the car from 12m/s to 20m/s