A particle moves along the x-axis so that its velocity at any time t > 0 is given by v(t)=(2π−5)t−sin(πt). A. Find the acceleration at any time t. B. Find the minimum acceleration of the particle over the interval [0,3]. C. Find the maximum velocity of the particle over the interval [0,2].

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
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A particle moves along the x-axis so that its velocity at any time t > 0 is given by

v(t)=(2π−5)t−sin(πt).

A. Find the acceleration at any time t.

B. Find the minimum acceleration of the particle over the interval [0,3].

C. Find the maximum velocity of the particle over the interval [0,2].

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