Question

Obtain the kinematic equations for constant acceleration by making use of:
- the initial conditions
- the definitions of velocity and acceleration as derivatives: v=dx/dt, a=dv/dt
- and the Fundamental Theorem of Calculus.

You should use the instantaneous kinematic quantities defined by calculus and the anti derivatives for obtaining the equations of motion at constant acceleration:
Ex: a=dv/dt, dv=adt, v=at+C, at t=0 v=v0 so v=v0+at, and so on.

PLEASE SHOW ALL WORK.

Answer 1