Projectile Motion

1. Projectile Motion

2. Projectile Motion projectile - Any object moving through air and affected only by gravity ex: a kicked soccer ball in the air, a stunt car driven off a cliff, and a skier going off a ski jump.

3. Projectile Motion trajectory - the path a projectile follows

4. Projectile Motion • The trajectory of a projectile is a special type of arch- or bowl-shaped curve called a parabola. When you throw a ball, it follows a curved path called a parabola.

5. Projectile Motion The range of a projectile is the horizontal distance it travels in the air before touching the ground.

6. Projectile Motion If you were asked to calculate the range of a projectile, what would you be calculating?

8. Projectile Motion Projectile motion is two-dimensional because both horizontal and vertical motion happen at the same time.

9. Projectile Motion The horizontal and vertical components of a projectile’s velocity are independent of each other.

10. Projectile Motion Does the horizontal component affect the vertical component?

11. Projectile Motion Does the vertical component affect the horizontal component?

12. Parabola – the curved pathHorizontal componentVertical Component

13. Both speed and direction change as a projectile moves through the air.

14. The motion is easier to understand by thinking about the vertical and horizontal components of motion separately.

15. The complicated curved motion problem becomes two separate, straight-line problems like the ones you have already solved.

16. Projectile Motion x component – speed problems s = d/t (and sometimes displacement) y component – acceleration due to gravity problems d = 1/2gt2

17. Projectile Motion Is a ball rolling off a table a projectile?

18. Projectile Motion Yes, yes it is.

19. Projectile Motion Let’s look at the horizontal and vertical components of this projectile

20. Projectile Motion Once the ball becomes a projectile it feels no horizontal force, so its horizontal velocity is constant. What does that mean?

21. Projectile Motion It moves the same distance horizontally each second It moves horizontally in the air just as it would on the ground.

22. Projectile Motion A projectile’s horizontal velocity does not change because no horizontal force acts on it.

23. Projectile Motion The vertical motion of the ball is accelerating because of gravity. The ball is in free fall in the vertical direction. What is the ball’s rate of acceleration?

24. Projectile Motion Just like other examples of free fall, the ball’s vertical speed increases by 9.8 m/sec each second.

25. A projectile’s vertical velocity increases by 9.8 m/sec each second.

26. Projectile Motion What is happening to the horizontal velocity of the ball?

27. Projectile Motion What is happening to the vertical velocity of the ball?

28. Projectile Motion x component – speed problems s = d/t (and sometimes displacement) y component – acceleration due to gravity problems d = 1/2gt2

29. A stunt driver steers a car off a cliff at a speed of 20 m/sec. He lands in the lake below two seconds later. Find the horizontal distance the car travels and the height of the cliff.

30. A horse running from a honey badger jumps a horizontal distance of 10m off a cliff. The cliff is 20m tall. What was the horse’s horizontal speed?