how to find integration through period of time

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)

Answer 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.