The position of a particle as it moves along a y axis is given by y=(2.0 cm) sin (pt/4), with t in seconds and y in centimeters. (a) What is the average velocity of the particle between t = 0 and t = 2.0 s? (b) What is the instantaneous velocity of the particle at t= 0, 1.0, and 2.0 s? (c) What is the average acceleration of the particle between t = 0 and t = 2.0 s? (d) What is the instantaneous acceleration of the particle at t = 0, 1.0, and 2.0 s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...
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The position of a particle as it moves along a y axis is given by
y=(2.0 cm) sin (pt/4),
with t in seconds and y in centimeters. (a) What is the average velocity
of the particle between t = 0 and t = 2.0 s? (b) What is the instantaneous
velocity of the particle at t= 0, 1.0, and 2.0 s? (c) What is the
average acceleration of the particle between t = 0 and t = 2.0 s?
(d) What is the instantaneous acceleration of the particle at t = 0,
1.0, and 2.0 s?

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