Horizontal Projectile Motion Practice Problems Horizontal Projectile Motion
Horizontal Projectile Motion Practice Problems
Horizontal Projectile Motion Problem: • A plane that is moving 200 m/s drops a package. The package falls 1102. 5 meters to the ground. • How long was the package in the air? • How far down range (Dx) did the package hit the ground?
A plane that is moving 200 m/s drops a package. The package falls -1102. 5 meters to the ground. • Given: vxi = 200 m/s Dy = -1102. 5 m vyi = 0 m/s a = g = -9. 81 m/s 2 • Find: Dx and t • Solution: t = ( 2(-1102. 5 m) / -9. 81 m/s 2 )1/2 t = 15 seconds Dx = (200 m/s)(15 s) = 3000 m
Basic Projectile Motion Equations: Dx = vxt Dy = ½ gt 2 t= vf = gt range height time of flight final velocity REMEMBER: THE HEIGHT AND THE ACCELERATION DUE TO GRAVITY HAS TO BE NEGATIVE – BUT, TIME HAS TO BE POSITIVE!
Example Problem #1 • A model rocket flies horizontally off the edge of the cliff at a velocity of 50 m/s. If the canyon below is 100 meters deep, how far from the edge of the cliff does the model rocket land?
Example Problem #2 • Superman, flying at treetop level sees the Eiffel Tower elevator begin to free fall. If Superman is 1000 meters away from the tower and the elevator falls from a height of 240 meters, how long does Superman have to save the people in the elevator? What is Superman’s average velocity?
Example Problem #3 • Cliff-Diving-Puffins dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a Puffin must have to clear the rocks safely?
Example Problem #4 • Batman throws a baseball horizontally from the top of a 40 m building. If it is thrown at 8 m/s, how long does it take to hit the ground? How far away from the building does it land? What is the vertical speed of the baseball as it hits the ground? Dy = -40 m vxi = 8 m/s • Find: t, Dx, vyf • Given:
Homer Simpson jumps the Springfield Gorge! • Given: Dx = _____ m vyi = 0 m/s • Find: vx , Dy , vyf Dt = _____ s g = -9. 81 m/s 2
- Slides: 10