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An object’s acceleration is given by the expression a(t) = −a0cosωt, where a0 and ω are positive constants. Find expressions for the object’s (a) velocity and (b) position as functions of time. Assume that at time t = 0 it starts from rest at its greatest positive displacement from the origin. (c) Determine the magnitudes of the object’s maximum velocity and maximum displacement from the origin.
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