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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,x = 6.00 cos (5 t + ?7 )where x is in centimeters and t is in seconds.(a) At t = 0, find the position of the piston.(b) At t = 0, find velocity of the piston.(c) At t = 0, find acceleration of the piston.(d) Find the period and amplitude of the motion.

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