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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 = 3.00 cos(t+π/4)

(a) At t = 0, find the position of the piston.where x is in centimeters and t is in seconds.


We are given x as a function of time. For any x(t) you can determine the position at a particular time by putting that value into the function. cm

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

How do you find the velocity v(t) of an object if you know the position as a function of time, x(t)? cm/s

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

How do you find the acceleration a(t) of an object if you know the velocity as a function of time, v(t)? cm/s2

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

period   s
amplitude
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