1. *Only hold in cases of Uniform Acceleration
Kinematic Equations
*Only hold in cases of Uniform Acceleration
(4)
(3)
(2)
(1)
Traditionally there is a fourth kinematic equation that relates the velocity to the displacement and lacks the time as a variable.

2. Kinematic Equation #4 Activity
Purpose:
To create graphical and mathematical representations of the relationship between the velocity and the displacement for a cart moving down a frictionless incline.

3. Kinematic Equation #4 Activity
Side-opening Parabola
Since the graph is linear and contains (0,0)
Data Studio
Start at 20 cm.

4. Kinematic Equation #4 Activity
What would change if the car was started behind 0
so that it was already moving at t = 0 s?
(4)
Data Studio
Start next to the motion detector

5. Proof Solve equation (1) for time (t)
Substitute into equation (2) thereby eliminating the time (t) as a variable
(1)
(2)
Difference of Squares!
(3)
(4)

6. *Only hold in cases of Uniform Acceleration
Kinematic Equations
*Only hold in cases of Uniform Acceleration
(4)
(3)
(2)
(1)