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Since velocity is the antiderivative of acceleration ∫a(t)dt, how would one take a starting velocity and acceleration and determine what constant change in acceleration would be needed for a and v to be zero at the same time?

Danny
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1 Answers1

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The derivative of acceleration is called jerk, so let $J$ be the constant jerk. Then $a(t)=J\:t+a_0$. Plug that in to the integral above and get $v(t)$.

Then write $a(t_f)=0$ and $v(t_f)=0$ and solve for $J$ and $a_0$

Dale
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