PLEASE SHOW ALL THE STEPS

1. A shuttle bus slows to a stop with an average acceleration of -1.8 m/s/s. If the shuttle bus is initially at 12.0 m/s, how fast is it moving at a distance of 5.5 m?

2. A gymnast dismounts off of a bar with a velocity of 4.0 m/s straight up. If the bar is set 2.5 m above the ground, what is her velocity as she lands on the ground?

3. A child is pushing a shopping cart at a speed of 2.0 m/s. How long will it take the child to push the cart 12.5 m?

4. An arrow is launched with a velocity of 25 m/s at an angle of 20-deg below the horizon from the top of a building. This arrow is shot through a window in the building across the street, 30.0 m away. If the building is 50.0 m tall, at what height is the window in the other building? Answer from the ground.

5. A ball is thrown in the air with velocity v at an angle theta. Using variables and the kinematic equations derive an expression that calculates the maximum height the ball can reach.

6. Explain how the velocity of a ball changes as it flies through the air. Draw and submit a pic to help explain.

7. An arrow is shot with speed v at angle theta above the horizontal. If the speed is doubled, then by what factor will the flight time change? Show your work.

8. A rock is dropped out of the window of a moving car from height h. Another rock is dropped from height h from a person standing on the street. How do the times to fall to the ground compare? Explain.

9. A bow can shoot an arrow with a speed, v. Will the arrow have the greatest range when shot at 30-deg or 40 deg? Explain.