A particle moves in a straight line and has acceleration given by a(t) = 12t + 5 sin t. Its initial velocity is v(0) = −3cm/s and its initial position is s(0) = 7cm. Find the position function s(t) of the particle.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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 A particle moves in a straight line and has acceleration given by a(t) = 12t + 5 sin t. Its initial
velocity is v(0) = −3cm/s and its initial position is s(0) = 7cm. Find the position function s(t) of the
particle.

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