Extra Two Dimensional Motion Problems
Honors Physics
A rookie quarterback throws a football with an initial upward velocity component of 16.0 m/s and a horizontal component of 20.0 m/s. Ignore Air Resistance. A) How much time is required for the football to reach the high point of its trajectory? B) How is this point? C) How much time is required for the football to return to its original height? D) How far did the football travel horizontally?
On level ground a shell is fired with an initial velocity of 80.0 m/s at 60 degrees above the horizontal. A) Find the horizontal and vertical components of the shell’s initial velocity. B) How long does it take the shell to reach its highest point? C) Find the maximum height about the ground the shell reaches. D) How far from the starting point does the shell land?
A man stands on the roof of a 15.0 m tall building and throws a rock with a velocity of 30 m/s at an angle of 33.0 degrees about the horizontal. Calculate: A) The maximum height above the roof reached by the rock. B) The magnitude of the velocity of the rock just before it strikes the ground. C) The horizontal range of the rock from the base of the building.
A cannon, is located 60.0 m away from a vertical cliff 25.0 m tall. The cannon shoot’s shells at an angle of 43 degrees above the horizontal toward the cliff. A) What must the muzzle velocity be for the shell to clear the top of the cliff? B) If the ground at the top of the cliff is level, with a constant elevation of 25.0 m above the cannon, how far will the shell land past the edge of the cliff?
An airplane is flying with a velocity of 90 m/s at an angle of 23 degrees above the horizontal. When the plan is 114m directly above a dog that is standing on level ground, a suitcase drops out of the planes luggage compartment. How far away from the dog with the suitcase land?
A physics teacher does daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle. The takeoff ramp was inclined at 53 degrees with respect to the horizontal, the river was 40 m wide, and the far bank was 15 m lower than the top of the ramp. The river itself is 100 m below the ramp. A) What should his speed have been at the top of the ramp to have made it to the edge of the bank? If his speed was half of that needed..where did he land?