Question

How do you find the displacement of an object if you know the acceleration?

Answer 1

If the displacement is `x`, then;

velocity is `v= dx/dt`

Acceleration is `a= (dv)/dt = (d^2x)/dt^2`

So if you know the acceleration then the displacement is found by solving the differential equation:

`(d^2x)/dt^2 = a(t)`