An object moves along a line with a velocity in m/s given by v(t) = 8 cos

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An object moves along a line with a velocity in m/s given by v(t) = 8 cos (πt/6). Its initial position is s(0) = 0.

a. Graph the velocity function.

b. The position of the object is given by s(t) = J,v(y) dy, for 1 2 0. for t 2 0. Find the position function, for t ≥ 0.

c. What is the period of the motion—that is, starting at any point, how long does it take the object to return to that position?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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