To show how the kinetic energy formula works ($KE = \frac{1}{2}mv^2$), we can try out some easy experiments:

1. Rolling Objects:

   • Find some objects with different weights, like marbles or balls.
   • Use a stopwatch to time how fast they roll.
   • Figure out the kinetic energy (KE) for different weights (like 0.1 kg and 0.5 kg) and speeds (like 2 m/s and 4 m/s).

2. Drop Experiment:

   • Drop some objects from different heights.
   • Measure how high you drop them and calculate their potential energy. Then, see how it relates to kinetic energy right before they hit the ground.

3. Graphing Results:

   • Make a graph where you plot kinetic energy (KE) against the square of the speed (v^2). This will show a straight line, proving that kinetic energy increases with the square of the speed.