In this part of kinematics, I will show the main equations that we have.
First equation:
The acceleration is the derivative of the speed divided by the derivative of the time.
Rearranging the equation, it stays:
Which is a differential equation, so, integrating it, we have:
As we work with constant accelerations, it stays:
Considering that we started from a null initial instant, that is,
Then:
Or,
So, the speed of a body will be the speed that it had in an initial instant zero added to its acceleration multiplied by the time.
Silêncio