In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, A x = 5.00 cos (5t + ; (5t + 7/7) 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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In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,
x = 5.00 cos5t +
(5t + 7 )
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
Transcribed Image Text:In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos5t + (5t + 7 ) 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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