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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 = 8.00 cos (3t + pi/4)

where x is in centimeters and t is in seconds.


(a) At t = 0, find the position of the piston.
cm

(b) At t = 0, find velocity of the piston.
cm/s

(c) At t = 0, find acceleration of the piston.
cm/s2

(d) Find the period and amplitude of the motion.

period s
amplitude cm
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