Calculate the kinetic energy for each experiment:

Problem: Calculate the kinetic energy for each experiment.

Given information:

• Initial state: The ball is not moving, so initial kinetic energy $$E_{k01} = E_{k02} = E_{k03} = 0$$.
• The velocity for the third experiment is given by $$v_3 = \frac{2S_3}{t_3}$$.

Formulas:

• Kinetic energy is calculated using the formula: $$E_k = \frac{mv^2}{2}$$

Calculations:

1. Experiment 1:
• $$E_{k1} = \frac{mv_1^2}{2} = \text{...}$$
2. Experiment 2:
• $$E_{k2} = \frac{mv_2^2}{2} = \text{...}$$
3. Experiment 3:
• $$E_{k3} = \frac{mv_3^2}{2} = \text{...}$$

Note: The values for $$v_1$$ and $$v_2$$ are not provided in the image, so the kinetic energy calculations for experiments 1 and 2 remain as formulas.