Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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V(t)
An object moves with velocity function v (t) = sin(t) during the time interval [0; π].
The next two questions refer to this object.
A
The position function of a particle is given by ?(?) , where t is measured issecond and s is measured in metres.
a) Find the velocity and acceleration functions.
b) When does the particle change direction?c) What is the velocity at ? = 3 seconds? Is the particle moving away or towards its starting position?
b. An object moves along a straight line with acceleration given by a(t) = - cos(t), and s(0) =
1, and v(0) = 0. Find the maximum distance the object travels from zero, and find its
maximum speed. Describe the motion of the object.
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