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Scenario: You are tracking the velocity and position of a particle moving along a line. The velocity is v(t) and position is s(t), where t

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Scenario: You are tracking the velocity and position of a particle moving along a line. The velocity is v(t) and position is s(t), where t is measured in seconds, s in meters, and v in meters per second. It is known that v(t) = ds/dt = 5 -t -4 and s(0) =1.E. Explain why applying the evaluation theorem to v(t) over the interval [1,4] is the same as finding the rocket's displacement over the interval [1,4]

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