A piston reciprocates with simple harmonic motion when driven by an engine with a constant speed of 120 rpm. When the piston is 0.75 m from mid-stroke position it has

an instantaneous velocity equivalent to 0.6 of its maximum velocity. Calculate EACH of the following: a The stroke of the engine; b The velocity of the piston when it is 0.7 m from top dead centre; e The maximum acceleration of the piston.