so distance can be found from acceleration if you know the initial velocity, and acceleration is constant with d=vi*t+(1/2)*a*t^2. Is there a similar equation for finding the distance from Jerk if you know the initial velocity and acceleration, and Jerk is constant? d=vi*t+(1/2)*ai*t^2+(1/4)*j*t^3 (I derived this equation and it is close but not quite right) I'm missing and I'd like to know what.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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so distance can be found from acceleration if you know the initial velocity, and acceleration is constant with

d=vi*t+(1/2)*a*t^2.

Is there a similar equation for finding the distance from Jerk if you know the initial velocity and acceleration, and Jerk is constant?

d=vi*t+(1/2)*ai*t^2+(1/4)*j*t^3 (I derived this equation and it is close but not quite right)

I'm missing and I'd like to know what.

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