The acceleration is a, the velocity is v, and the displacement is X.

At this time, a is a constant,

Velocity v

v =？ ∫adt

= at + c 1

Here c 1 = v0.

The above formula is,

v =？ ∫adt

= at+v0

————————————————————

Displacement x

x =？ ∫vdt

= ∫(at + v0)dt

= at？ /2 + v0t + c2

Here, c2 = x0

The above formula is,

x =？ ∫vdt

=? ∫ (at+v0) dt

= at？ /2 + v0t + x0