how to find integration through period of time

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hi
if I have the acceleration a=0.0625; T=32
1. s=a at 0<=t<T/10
2. s= 0 at T/10<=t <9T/10
3. s=-a at 9T/10<=t<T
how can I fine the velocity (v) and the distance (d)

Answers (1)

Thiago Henrique Gomes Lobato
You have a constant acceleration, you can simply use the basic equations of motion to calculate the velocity and distance:
Just plug those equations in the respectively intervals using the results of the last ones as initial conditions and you're done.

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