Practice Projectile Motion (2D) Problems

  1. A golf ball hit off the tee with an initial velocity of 30 m/s at an angle of 35˚ to the horizontal.
  1. What is the maximum height reached by the golf ball?
  2. What is its range?
  1. Allison standing on a small foot bridge on the Bronx River Parkway throws a crouton to a mallard in the water below. If she throws the bread horizontally at 2.5 m/s…..
  1. What are the vertical and horizontal accelerations of the bread?
  2. Determine the time it takes to reach the bird located 3 m below the point at which the bread is thrown.
  3. How far is the bird from the base of the bridge?
  4. With what velocity does it reach when it enters the duck’s beak?
  1. A hockey player hits a “slap shot” in practice with no goalie present when he is 15 m in front of the net. The net is 1.20 m high, and the puck is initially hit at angle of 5.0˚ above the ice with a speed of 35 m/s.
  1. Determine whether the puck makes it into the net.
  2. If it does, determine whether the puck is rising or falling vertically as it crosses the front plane of the net.
  1. A ball with a horizontal speed of 1 m/s rolls off a bench 2 m high.
  1. How long will the ball take to reach the floor?
  2. How far from a point on the floor directly below the edge of the bench will the ball land?
  1. An electron is ejected horizontally at a speed of 1.5 x 106 m/s from the electron gun of a computer monitor. If the viewing screen is 35 cm from the end of the gun,
  1. How far will the electron travel in the vertical direction before hitting the screen?
  2. Based on your answer, do you think designers need worry about this gravitational effect?
  1. A good guy stuntman is being chased by bad guys on a building’s level roof. He comes to the edge and is to jump to the level roof of a lower building 4 m below and 5 m away. What is the minimum launch speed the stuntman needs to complete the jump?
  2. A ball is projected horizontally with an initial speed of 6 m/s. Find
  1. Its position at t =2.5 seconds
  2. Its velocity at t= 2.5 seconds
  1. An artillery crew wants to shell a position on level ground 35 km away. If the gun has a muzzle velocity of 770 m/s, to what angle of elevation should the gun be raised?
  2. A stone thrown off a bridge 20 m above a river has an initial velocity of 12 m/s at an angle of 45˚ above the horizontal.
  1. What is the range of the stone?
  2. At what velocity does the stone strike the water?
  1. In 2004 two Martian probes successfully landed on the Red Planet. The final phase of the landing involved bouncing the probes until they came to rest. During one