1 / 25

# Introduction to 2D Projectile Motion

Introduction to 2D Projectile Motion. Projectile Motion. An example of 2-dimensional motion. Something is fired, thrown, shot, or hurled near the earth’s surface. Horizontal velocity is constant. Vertical velocity is accelerated. Air resistance is ignored. y. x. Trajectory of Projectile.

## Introduction to 2D Projectile Motion

An Image/Link below is provided (as is) to download presentation Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

### Presentation Transcript

1. Introduction to 2D Projectile Motion

2. Projectile Motion • An example of 2-dimensional motion. • Something is fired, thrown, shot, or hurled near the earth’s surface. • Horizontal velocity is constant. • Vertical velocity is accelerated. • Air resistance is ignored.

3. y x Trajectory of Projectile This projectile is launched an an angle and rises to a peak before falling back down.

4. y x Trajectory of Projectile The trajectory of such a projectile is defined by a parabola.

5. y x Trajectory of Projectile The RANGE of the projectile is how far it travels horizontally. Range

6. y x Trajectory of Projectile The MAXIMUM HEIGHT of the projectile occurs halfway through its range. Maximum Height Range

7. y g g g g g x Trajectory of Projectile Acceleration points down at 9.8 m/s2 for the entire trajectory.

8. y y x x t t Position graphs for 2-D projectiles

9. …you must first resolve the initial velocity into components. Vo,y = Vo sin  Vo,x = Vo cos  To work projectile problems… Vo 

10. y x Trajectory of Projectile Velocity is tangent to the path for the entire trajectory. v v v vo vf

11. y x Trajectory of Projectile The velocity can be resolved into components all along its path. vx vx vy vy vx vy vx vy vx

12. y x Trajectory of Projectile Notice how the vertical velocity changes while the horizontal velocity remains constant. vx vx vy vy vx vy vx vy vx

13. y x Trajectory of Projectile Where is there no vertical velocity? vx vx vy vy vx vy vx vy vx

14. y x Trajectory of Projectile Where is the total velocity maximum? vx vx vy vy vx vy vx vy vx

15. 2D Motion • Resolve vector into components. • Position, velocity or acceleration • Work as two one-dimensional problems. • Each dimension can obey different equations of motion.

16. Horizontal Component of Velocity Newton's 1st Law • Is constant • Not accelerated • Not influence by gravity • Follows equation: x = Vo,xt

17. Horizontal Component of Velocity

18. Vertical Component of Velocity Newton's 2nd Law • Undergoes accelerated motion • Accelerated by gravity (9.8 m/s2 down) • Vy = Vo,y - gt • y = yo + Vo,yt - 1/2gt2 • Vy2 = Vo,y2 - 2g(y – yo)

19. Horizontal and Vertical

20. Horizontal and Vertical

21. vo Launch angle Zero launch angle

22. vo  Launch angle Positive launch angle

23. vo  - vo Symmetry in Projectile Motion Launch and Landing Velocity Negligible air resistance Projectile fired over level ground

24. t to = 0 Symmetry in Projectile Motion Time of flight

25. t to = 0 2t Symmetry in Projectile Motion Time of flight Projectile fired over level ground Negligible air resistance

More Related