At noon (t = 0), Alicia starts running along a long straight road at 4 mi/hr. Her
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At noon (t = 0), Alicia starts running along a long straight road at 4 mi/hr. Her velocity decreases according to the function v(t) = 4/(t + 1), for t ≥ 0. At noon, Boris also starts running along the same road with a 2-mi head start on Alicia; his velocity is given by u(t) = 2/(t + 1), for t ≥ 0. Assume t is measured in hours.
a. Find the position functions for Alicia and Boris, where s = 0 corresponds to Alicia’s starting point.
b. When, if ever, does Alicia overtake Boris?
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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