Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 2, Problem 33P
Automotive engineers refer to the time rate of change of acceleration as the ‘‘jerk.” Assume an object moves in one dimension such that its jerk J is constant. (a) Determine expressions for its acceleration ax(t), velocity vx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, vxi, and xi, respectively. (b) Show that ax2 = axi2 + 2J(vx − vxi).
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Automotive engineers refer to the time rate of change of acceleration as the “jerk”. Assume an object moves in one dimension such that its jerk J is constant. (a) Determine expressions for its acceleration ax(t), velocity vx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, vxi and xi, respectively. (b) Show that ax2 = axi2+ 2J (vx – vxi)
Automotive engineers refer to the time rate of change of acceleration as the “ jerk.” Assume an object moves in one dimension such that its jerk J is constant. (a) Determine expressions for its acceleration ax(t), velocity υx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, υxi, and xi, respectively. (b) Show that ax2 = axi2 + 2J(υx - υxi).
The position of an object moving along an x axis is given by x = 3.18 t-4.04 +1.03 t³, where x is in meters and t in seconds. Find the
position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0
and t = 4 s? (f) What is its average velocity from t = 2 stot = 4s?
(a) Number
(b) Number
(c) Number
(d) Number
(e) Number
0.17
i-1.68
0.27
12.70
12.70
(f) Number i 7.19
Units
Units
Units
Units
Units
Units
m
m
3
[[|]
3
m/s
Chapter 2 Solutions
Physics for Scientists and Engineers
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