Question: An object moves in SHM. Its position as a function of time is x(t) = A cos t. (a) Apply conservation of energy to show

An object moves in SHM. Its position as a function of time is x(t) = A cos ωt. 

(a) Apply conservation of energy to show that vx(t) = ±ωA sin ωt.

(b) Then refer to a graph of x(t) to explain why the correct choice of sign must be vx(t) = −ωA sin ωt.

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