Projectiles Launched At an Angle Problems


  1. Jacqueline steals a dodgeball from some 3rd graders and decides to throw it onto the 5 m tall roof. If she throws it with an initial horizontal velocity of 8 m/s and an initial vertical velocity of 12 m/s, how far away from the roof should she stand so that the ball just hits the roof on its way down? How far away from the roof should she stand so that that ball just hits the roof on its way up? (15.28 m, 4.24 m)
  2. Blake throws a kitten's favorite toy off of a 12 m tall cliff. Assuming he throws it with an initial vertical velocity of 18 m/s and an initial horizontal velocity of 3 m/s, how far does the toy travel horizontally before it hits the ground? (12.75 m)
  3. Denise is fleeing from a gaggle of orphans whom she defrauded out of tens of dozens of dollars. She jumps to clear a fence which is 1 m tall. Assuming she jumps with an initial horizontal velocity of 3 m/s and an initial vertical velocity of 4.5 m/s, what is the maximum horizontal distance she can be from the fence when she jumps? (1.6 m)
  4. Aaron's friend drives him to Monroe Deli and buys him a $2.99 half Italian sub as well as one for himself. While riding home in the passenger seat of his friend's Chevy Suburban, Aaron decides to take his friends sandwich and throw it out of the window and off a bridge. Assuming the sandwich was launched with an initial vertical velocity of 6 m/s and an initial horizontal velocity of 5 m/s from a height of 20 m, how far from the base of the bridge can his friend expect to find his sandwich? This is assuming of course that his friend can see anything through the tears streaming down his face. (13.6 m)
  5. A happy, fluffy bunny jumps over a 0.5 m tall strawberry patch. If the bunny jumps with an initial vertical velocity of 10 m/s and an initial horizontal velocity of 2 m/s, at what two horizontal distances will the bunny just clear the patch? PS - The bunny dies. (0.1 m, 3.9 m)