question archive An object attached to a spring oscillates vertically around its position of equilibrium

An object attached to a spring oscillates vertically around its position of equilibrium

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An object attached to a spring oscillates vertically around its position of equilibrium. The height of the object relative to its position of equilibrium is given by the following function:

h (t) = ((e ^ −t / 10) (100sin (t) - 10cos (t))) / 101, t ≥ 0.

The height is given in centimeters and the time in seconds.

a) Give the object movement during the first 10 seconds.

b) Give the total distance traveled by the object during the first 10 seconds.

c) Give the total distance that will be traveled by the object from time t = 0.

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