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In an engine, a piston oscillates with simple harmonic motion so that its position varies according...

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x(t) = 15.0 cos(20.0t) where xis in centimeters and t is in seconds. At t = 1 s, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion. (f) Sketch a plot of the acceleration as a function oftime. Scale the plot properly.

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