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Projectile Motion and Trajectory

Projectile Motion and Trajectory. You’ve Been Watching it for Years. Projectiles are objects moving through space or the air with their own inertia and acted on by gravity. Projectiles have a horizontal or X motion. Gravity does not act in the X direction.

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Projectile Motion and Trajectory

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  1. Projectile Motion and Trajectory You’ve Been Watching it for Years

  2. Projectiles are objects moving through space or the air with their own inertia and acted on by gravity.

  3. Projectiles have a horizontal or X motion.

  4. Gravity does not act in the X direction.

  5. If there is no friction the xmotion is at constant velocity.

  6. Projectiles have a verticalor ymotion.

  7. Velocity in the y direction will accelerate because of gravity.

  8. Because acceleration due to gravity is constanta projectile and free-falling object will hit the ground at the same time!

  9. The projectile will travel in a parabola, the combination of the x and y motion.

  10. Upwardly Launched Projectiles

  11. In the absence of gravity the projectile flies in a straight line!

  12. Gravity pulls the projectile down as if it has been free-fallingfrom each point!

  13. If there is no air resistance the horizontal or x velocity staysconstant!

  14. Notice the vertical or y velocity decreases as the projectile goes upwards!

  15. Yet the vertical or y velocity increases as the projectile goes downwards! Why?

  16. 10 m/s The vertical speed of the cannonball lost going upwards…… 10 m/s 30 m/s 30 m/s Equals the vertical speed of the cannonball gainedgoing downwards…… 50 m/s 50 m/s

  17. 10 m/s 10 m/s What is the vertical speed of the cannonball at the top of the parabola? 30 m/s 30 m/s 0 m/s 50 m/s 50 m/s

  18. What about air resistance? Air resistance causes the trajectory to be less than the ideal path! No air resistance With air resistance

  19. Force of Launch A projectile launched with moreforce will go further than one launched with less force if all other factors are the same….

  20. Does Angle of Launch Matter? Yes!

  21. 45° gives maximum distance or range! (x and y are equal) Any two angles which add up to 90° gives the same distance or range but not the same trajectory!

  22. 75° + 15° = 90° 60° + 30° = 90°

  23. Is an airplane a projectile? No! It is not moving on its own inertia but by constant thrust from the jet engines!

  24. With the right amount of force a projectile will fall at the same rate as the Earth’s surface curves!

  25. Satellites need to have a velocity of 8 km/s to stay in orbit.

  26. Satellites do not escape the Earth’s gravity but orbit above the atmosphere. Why?

  27. Once they escape the atmosphere there is no friction so velocity is constant!

  28. The End

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