Assume: A178 g basketball is launched at an angle of 53.7 and a distance of 11 m from the basketball goal. The ball is released at the same height (ten feet) as the basketball goal's height. A basketball player tries to make a long jump-shot as described above. The acceleration of gravity is 9.8 m/s². What speed must the player give the ball? Answer in units of m/s.

You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.

A person throws a ball with speed 102 m/s at a 45° angle.  How many seconds faster would the ball arrive if the person threw the ball at the same speed and the same distance but made the trip in two identical bumps.  Assume that there is no loss of speed at the bounce.  Hint:  Use R = v2/g * sin(2θ) and t=2*vy(sinθ)/g.

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?