1. 10 Projectile Motion Projectile Launched Horizontally
Projectiles Launched at an Angle
Hang time Revisited
Fast-Moving Projectiles—Satellites
Circular Satellite Orbits
Elliptical Orbits
Kepler’s Laws of Planetary Motion
Energy Conservation and Satellite Motion

2. Horizontal motion does not affect gravity!
Each ball has same initial vertical velocity
Each ball’s vertical acceleration is same.
Each ball hits at the same time

3. Two component look at projectile motion

4. Force and Projectile Motion
Horizontal force is zero – Horizontal velocity constant.
Vertical force is weight – Vertical velocity is decreasing.

5. Each component affects range
vertical component affects time of flight
Range = (horizontal component) x (time of flight)
as angle increases (time of flight) increases
as angle increases (horizontal component) decreases

6. Range Variation when initial and final height of projectile is same
when air resistance is negligible

7. Air Resistance Effect

8. Distance of Fall d = ½ gt2 with g = 10m/s/s t = 1s d = 5m

9. Another way to see “distance of fall” in projectile motion

10. Satellite Motion

11. Kepler’s Laws