A seismograph measures the movement of the earth during an earthquake. During a tremor, the motion of the earth can be measured

Question

A seismograph measures the movement of the earth during an earthquake. During a tremor, the motion of the earth can be measured by:
s(t) = 7 cos(2/t)
where t is the time in seconds. Determine the rate of change of the ground's position at 4 seconds.

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