Claire is playing fetch with her cute Shetland Sheepdog named Sadie and uses a 0.5 kg rubber ball. She loosely holds the ball above her head and then throws it. The ball leaves her hand traveling at a speed of 4 m/s at an angle of 40 degrees to the horizontal, going from a height of 2.0 m above the ground. The ball is at the apex (i.e., peak) of its flight with the most gravitational potential energy. The ball starts to contact the ground creating the most kinetic energy before Sadie picks it up from its resting position and gives it back to her.
1. Determine the acceleration of the ball when ignoring air resistance.
2. Calculate the kinetic energy the ball leaves her hand.
3. Calculate the gravitational potential energy at various stages of the ball.
4. Determine the height rise from the given data.
5. Calculate the kinetic energy as the ball hits the ground.
6. Calculate the work done by Earth on the ball.
7. Calculate the velocity of the ball as it hits the ground.
8. Calculate the distance the ball travels horizontally.
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