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33. Automotive engineers refer to the time rate of change of accel- S eration as the "jerk." Assume an object moves in one dimen- sion such that its jerk Jis constant. (a) Determine expressions for its acceleration a,(1), velocity v,(1), and position x(t), given that its initial acceleration, velocity, and position are a, v and x, respectively. (b) Show that a,² = a,? + 2J{v, – v„).

33. Automotive engineers refer to the time rate of change of accel- S eration as the "jerk." Assume an object moves in one dimen- sion such that its jerk Jis constant. (a) Determine expressions for its acceleration a,(1), velocity v,(1), and position x(t), given that its initial acceleration, velocity, and position are a, v and x, respectively. (b) Show that a,² = a,? + 2J{v, – v„).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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33. (a) a (t) = a + Jt; v_(t) = v + a_+*; x(1) = x, + v + ļa t² + &ji°
Transcribed Image Text:33. (a) a (t) = a + Jt; v_(t) = v + a_+*; x(1) = x, + v + ļa t² + &ji°
33. Automotive engineers refer to the time rate of change of accel- S eration as the “jerk." Assume an object moves in one dimen- sion such that its jerk Jis constant. (a) Determine expressions for its acceleration a,(1), velocity v,(), and position x(), given that its initial acceleration, velocity, and position are a, v and x, respectively. (b) Show that a² = a? + 2(v, - v).
Transcribed Image Text:33. Automotive engineers refer to the time rate of change of accel- S eration as the “jerk." Assume an object moves in one dimen- sion such that its jerk Jis constant. (a) Determine expressions for its acceleration a,(1), velocity v,(), and position x(), given that its initial acceleration, velocity, and position are a, v and x, respectively. (b) Show that a² = a? + 2(v, - v).
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