2. Projectile Motion Motion in two dimensions © 2006 Certiport.com

3. 2 When a projectile is launched at an angle the object moves both up and down and side to side at the same time

4. 3 This means, when a projectile is launched at an angle, it’s velocity has a vertical and horizontal component

5. 4 The vertical component (V y ) controls how high the object rises. This is the objects maximum height. It occurs half way through the projectiles path. **The path of a projectile is called its trajectory

6. 5 Since the maximum height (d y ) occurs half way through the trajectory, vertical equations use time for only half the trip. total time=4s t y =2s

7. 6 The horizontal component (Vh) controls how far over the object travels. This is called the object’s range. It occurs at the end of the entire trajectory.

8. 7 Since the object’s range (d x ), occurs over the entire trip, horizontal equations must use the time for the total trip. t x =4s

9. 8 Changing the angle at which the projectile is launched effects the vertical and horizontal distances the object travels

10. 9 What angle gives the projectile maximum range?

11. 10 Excel Spreadsheet

12. 11 And the winner is …. A 45 degree angle gives the projectile maximum range In nature, frogs naturally jump at approximately a 45 degree angle to help them cover maximum distance on flat ground