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Time Interval Assignment

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February 18th, 2020

You are tracking the velocity and position of a rocket-propelled object near the surface of Mars. The velocity is v(t) and the position is s(t), where t is measured in seconds, s in meters, and v in meters per second. It is known that the v(t) = ds/dt = 4.94 – 3.72t and s(0) = 5.

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Explain why solving the rocket’s displacement in meters over the time interval from t = 1 to t = 3 is an application of the evaluation theorem.

 

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