Trajectory Problems

							                                  Trajectory Problems

   1. Evil Kneivel jumps horizontally off a cliff over the Amazon River. The width of
      the river is 100m and the other side of the river is 10m lower. What is Evil’s
      minimum speed required to safely reach the other side?
   2. Tony Hawk rides across the top of the physics building roof and launches off
      (horizontally), landing a 540 onto the ground 4m below. If he rides at 4m/s across
      the top, how far away is he when he lands?
   3. A ball is rolled off a table with an initial velocity of 0.24 m/s. A stop watch
      measures the ball’s trajectory time form the table to the floor to be 0.3s. What is
      the height of the table?
   4. A bridge that was 5m long has been washed out by a heavy rain. The road on the
      far side of the stream is 2m lower than the road the car starts on. How fast must a
      car be going to successfully jump the stream?
   5. Wiley Coyote has missed the elusive Road Runner once again. This time, he
      leaves the edge of the cliff with a horizontal velocity of 50m/s. If the canyon is
      100m deep, how far from the edge of the cliff does Wiley Coyote land?
   6. A rifle is aimed horizontally towards a target 100m away. If the bullet strikes
      10cm below the center, what was the velocity of the bullet? (give both horizontal
      and vertical velocities)
   7. A helicopter is traveling at 40.m/s at a constant altitude of 100m over a level field.
      If a wheel falls off of the helicopter, with what final velocities will it hit the
      ground? (give both horizontal and vertical final velocities).
   8. Superman is flying at treetop level near Paris when he sees the Eiffel Tower
      elevator start to fall because the cable snapped. With his X-ray vision, he sees that
      Lois Lane is inside. If Superman is 1km away from the tower, and the elevator
      falls from a height of 240m, how long does Superman have to save Lois? What is
      his average speed?



Answers
   1. v = 71m/s
   2. d = 3.56m
   3. y = 0.45m
   4. v = 7.9m/s
   5. d = 225m
   6. Vx=714m/s Vy=1.4m/s
   7. Vx=40ms/ Vy = 45 m/s
   8. t = 6.9sec V = 144.9m/s