SOLUTION: 2. 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
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(a) Determine
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Question 942123: 2. 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 a(t), velocity v(t), and position x(t), given that its initial acceleration, velocity, and position are a0, v0, and x0, respectively.
(b) Show that
NOTE: Finding the equations for motion with constant jerk is very similar to finding the equations for constant acceleration. Jerk is the derivative of acceleration ( J = da/dt ), and you already know that v = dx/dt and a = dv/dt. Just integrate in part (a) and rearrange in part (b) like we did in class when we derived the expressions for constant acceleration. Answer by richard1234(7193) (Show Source):
