## What is Constant-acceleration motion?

Toward bright spark; If the acceleration vector changes, i.e. either the magnitude or direction of this vector changes, the motion is called constant-acceleration. If the instantaneous and average accelerations are the same, the motion is named constant-acceleration:

$a_{av}=a$

If the acceleration remains unchanged, the rate of velocity change will be constant. For instance, assume that a body is moving in the positive direction with a constant acceleration of +4m/s2 meaning that 4 m/s is added to the velocity each second. However, if the acceleration is -3m/s2, 3 m/s will be subtracted from the velocity each second.

In a constant acceleration motion, the velocity changes are the same for identical time intervals.

### Velocity-time equation

In a constant-acceleration motion, the average and instantaneous acceleration are the same. For this case, the velocity-time equation is written as below:

In a constant-acceleration motion, the velocity is a linear function of time. For this case, the average velocity between the time interval from t1 to t2 is equal to the arithmetic mean of the velocities at these two instants:

$v_{avg}=\frac{v_{1}+v_{2}}{2}$

In a constant-acceleration motion, the average velocity equation can be determined as below:

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