PHYSICS Kinematics Practice Problems in 2 D Projectiles Fired at an Angle 1) Albert Everett Upe is able to leap at a speed of 200 m/s at an angle of 35 degrees. a. What is the maximum horizontal distance Al can leap? 38 31,49 22 1 M b. If Al wanted to double his horizontal distance without changing his velocity or angle, from what height must he jump from? 2) A boy stands on top of a 55 m high bridge. He wishes to drop a pebble off the top of the bridge. a. How long does it take the pebble to reach the ground? 3 + 35% b. A train is approaching the bridge at a constant speed of 12 m/s. The boy is reckless and wishes to drop the pebble and hit the train. How far away from the bridge should the train be when he releases the pebble in order to hit it? 40 .2M 3) A toy dart gun is positioned such that it is aimed at an angle of 37 degrees with the barrel at ground level. The dart leaves the gun at a speed of 20 m/s. 32 m away from the dart gun is a tall tree at which the dart gun is aimed. a. How high on the tree does the dart hit? b. What is the final vertical velocity of the dart when it hits the tree? c. Is the dart traveling upward or downward when it hits the tree? 4) A certain bow is fired horizontally from a height of 12 m. The arrow hits the ground with a horizontal displacement of 88 m. a. What is the speed of the arrow when it leaves the bow? 56.4 1 m/s The bow is now aimed at an angle of 37 degrees from the same height. b. What is the final vertical velocity of the arrow when it hits the ground?- 37, 25 6 M/ S c. How long is the arrow in the air? 7:25 9 s d. What is the horizontal displacement when the arrow hits the ground? 3 27. 025 M e. What is the maximum height measured from the launch point? 58 .74 6M f. What is the horizontal displacement of the arrow when it is at its maximum 155,107M height? 5) Pastry chef Philo Doe starts running toward his brother John, from rest, with an acceleration of 22 m/s2. a. What is Philo's velocity after 3 seconds? 60m/S After 3 seconds, Philo drops his rolling pin and it flies out a window from a height of 4.5 m. b. How long does it take the rolling pin to hit the ground? c. What is the horizontal displacement of the rolling pin when it hits the ground? 1) 3834.8 m, 5364.2 m 2) 3.35 sec, 40.2 m 3) 4.4 m, -7.6 m/s, downward 4) 56.23 m/s, -37.15 m/s, 7.24 sec, 325.26 m, 58.43 m, 155.04 m 5) 66 m/s, 0.96 sec, 63.25 m