II. Car acceleration Once the engine is started (starter is disengaged), the crankshaft rotates at 750 rpm when idling. In gear, the engine is capable of generating 40 hp of power

at speed of 1200 rpm and 67 hp at speed of 3000 rpm with power increasing linearly with speed. The car is running on 18 inch wheels. Shafts 2 and 3 of gearbox are reserved for providing power to the wheels. 30% of the moving force generated by the engine is wasted to overcome friction between the wheels and the track. You must add your own weight to the total weight of the car for calculations. • Identify which shaft is suitable for forward motion and which one is more suitable for reverse motion of the car? Justify your answer with reference to the angular speed of the shafts. • Identify the range of acceleration (ac) the car can achieve in both forward and reverse motions. You can consider the car moving on a horizontal surface. The air drag force can be ignored. You can perform calculations by hand. Alternatively you can generate a suitable MATLAB code for performing the calculations (you must provide a copy of the calculations or the code used in the coursework template). Present your results using an appropriate figure showing changes in acceleration as a function of input power or engine speed. If the car moves forward with maximum acceleration for 10 seconds from rest and the transmission between the engine and wheels is stopped (neutral drive state) how long does it take for the car to stop on its own without using any form of breaking systems. Consider the friction force to be constant and equal to 30% of driving force just before deceleration.