A Calculator, or Paul, MAY be used to help answer this question.
Be certain to limit yourself to the four permissable calculator functions.
Paul runs to catch the bus along a line in such a way that at time t, 1 ≤ t ≤ 8, his position is given by:
(a) Write a formula for the velocity of Paul at time t.
(b) At what instant does Paul reach his maximum speed.
(c) When is Paul moving to the left?
(d) Find the total distance traveled by Paul from t = 1 to t = 8.
Solution
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