A particle follows a path r(t) for 0 t T, beginning at the origin O.

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A particle follows a path r(t) for 0 ≤ t ≤ T, beginning at the origin O. The vector 1 = =+=+S T V= r' (t) dt is called the average velocity vector. Suppose that v̅ = 0. Answer and explain the following:

(a) Where is the particle located at time T if v̅ = 0?
(b) Is the particle’s average speed necessarily equal to zero?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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