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(Solved by Expert Tutors) 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.
A. Explain why the condition ?f is continuous over [a, b]? from the Evaluation Theorem is fulfilled by this scenario.
B. Explain why the condition ?F is any antiderivative of f on [a, b]? from the Evaluation Theorem is fulfilled by this scenario.
C. Determine the position function s(t) using the initial condition that s(0) = 5.
D. Apply the Evaluation Theorem to this scenario to compute ?v1^3 v(t)dt (Didn't know how to annotate a subscript. the "1" should be tiny and at the bottom. ie Evaluate the function from 1-3)
E. 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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Apr 19, 2020

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