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 ax 2 = 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 vx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, vxi and xi, respectively. (b) Show that ax 2 = axi2 + 2J (vx – vxi)
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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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 ax
2 = axi2
+ 2J (vx – vxi)
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