# Non-Constant Acceleration

**1. The problem statement, all variables and given/known data**

A car has a constant jerk of 5ms

^{-3}and can only accelerate at a maximum of 2.5ms

^{-2}. It can travel at a maximum velocity of 36ms

^{-1}. What is the time taken for the car to reach maximum velocity and what is its displacement when it reaches maximum velocity?

**2. Relevant equations**

I am not sure how to start other than jerk being the derivative of acceleration

**3. The attempt at a solution**

Do not know how to form equations at all

http://ift.tt/1mAjJlf

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