Final answer:
The kinetic energy of the ball when it bounces off the ground is approximately 9.40 J.
Step-by-step explanation:
The kinetic energy of the ball can be calculated using the formula: Kinetic Energy (KE) = 0.5 * mass * velocity².
First, we need to convert the mass of the ball from grams to kilograms. The mass of the ball is 45 grams, which is equal to 0.045 kilograms.
Next, we need to calculate the velocity of the ball. Velocity is equal to the distance traveled divided by the time taken. In this case, the ball travels 35.4 meters in 3.68 seconds, so the velocity is 35.4/3.68 = 9.619 meters per second.
Using the formula, KE = 0.5 * 0.045 * 9.619², we can calculate the kinetic energy of the ball to be approximately 9.40 J.