Noninertial frame projectile. A device shoots a small ball horizontally with speed 0.227 m/s from height h=0.851 m above an elevator floor. The ball lands at distance d from the base of the device directly below the ejection point. The vertical acceleration of the elevator can be controlled. What is the elevator's acceleration magnitude a if d is (a) 14.0 cm, (b) 20.0 cm, and (c) 7.50 cm? (a) Number i 4.574 (b) Number i 2.197 (c) Number i 15.62 eTextbook and Media Hint Units Units m/s^2 m/s^2 Units m/s^2 The ball's apparent acceleration is the gravitational acceleration g plus or minus the elevator's acceleration. Assistance Used

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 rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its motion, the vertical accelerationof the rocket is given by ay = 12.80 m/s32t, where the+y-direction is upward. What is the height of the rocket above the surface of the earth at t = 10.0 s?

Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?