Velocity and Acceleration Algebra

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Here we will take a look at the equation that allows us to solve for the final velocity when the object is constantly accelerating. That equation is:

velocity final equals velocity original plus acceleraton times time

This equation would read:

Final velocity equals original velocity plus acceleration times time.

We will use algebra to solve the above equation for each of its variables.

 

The equation in its original form is already solved for final velocity, vf:

equation

 

Here, we will solve for original velocity, vo:

equation Begin here.
equation Subtract at from each side.
equation Rearrange by switching left and right sides.

 

Now, let's see the equation solved for acceleration, a:

equation Start here.
equation Subtract vo from each side.
equation Divide each side by t.
equation Rearrange by switching left and right sides.

(Basically, this equation is the definition of acceleration.)

 

Now, let's see the equation solved for time, t:

equation Begin here.
equation Subtract vo from each side.
equation Divide both sides by a.
equation Rearrange by switching left and right sides.

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