The vertical displacement of a point on a weighted spring is given by the equation d(t) = 4 cos(πt), where t is in seconds and d{t} is in inches.
a. Graph this equation for 0 ≤ t ≤ 4.
b. If we consider the rest position to be when the displacement d(t) = 0, find the '1 times the point is in the rest position.
c. Indicate on the graph the times when the displacement is 2 inches from the rest position.
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