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