The movement of a piston in an automobile engine can be modelled by the function y60 sin 10 800r + 10, where y is the distance, in millimetres, from the crankshaft and ris the time, in seconds. a) What is the period of the motion? b) Explain how the period of the function relates to the revolutions per minute (RPM) of the engine. c) Which number in the equation would change if the driver increased the speed? Would the number increase or decrease? Explain. d) Desemine the maximum, minimum, and amplitude.