Scenario: you are tracking the velocity and position of a rocket-propelled object near the surface of Mars.

Scenario: 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 inn 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  Apply the Evaluation Theorem to this scenario to compute