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projectile motion

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- 1. Projectile Motion
- 2. What is a projectile? • Any object that moves through the air or space with an initial velocity and makes a parabolic path is called a projectile
- 3. First… • Let’s think about objects that move in a straight line…
- 4. Horizontal Motion • If there were no gravity, an object moving horizontally (in the xdirection) would continue to move in a straight line _________________
- 5. Vertical Motion • If an object is dropped vertically (in the y-direction), then _______ causes gravity it to • accelerate ___________ downwards
- 6. Projectile Motion • Projectile motion is a ________________! combination constant • In the x-direction, it continues to move at a __________ speed, but in the y-direction, it accelerate ___________downwards because of gravity!
- 7. Take-Home Message!!! INDEPENDENT For a projectile: THE X-VELOCITY IS _________________ OF THE Y-VELOCITY!!! The speed in the x-direction doesn’t care what the speed in the y-direction is!
- 8. Why? gravity • Remember that _____________is only pulling in one direction right or left (__________!) and nothing is pulling ________________ down • If there were no gravity, a projectile would go straight __________forever:
- 9. Velocity Vectors • Remember that velocity has a ____________, so it can be direction represented using ____________! vectors • We can break down the velocity into separate x- and ycomponents:
- 10. Velocity Vectors • Let’s examine the x and y velocity vectors for a projectile: • Its x-velocity staysconstant __________and its y-velocity increases _____________.
- 11. Just like in free-fall: Y-Velocity Velocity in the y-directiondecreases ___________on the way up, and increases ____________on the way down At the top of the path, the y-velocity is always zero ______ Velocity on the way up equals ________velocity on the way down height when you reach the same _________
- 12. *Checkpoint Question 1* • If you were walking at a constant velocity with a baseball and threw it up into the air while you were walking, would it fall – A. in front of you – B. behind you – C. right back into your hands? • Why??
- 13. Answer! • Its y-velocity is different than yours, but its x-velocity stays the same as you. It should land back into your hands!
- 14. **Checkpoint Question 2** • An airplane is carrying a bomb and traveling with a velocity of 1,100 mph east. If it releases its bomb and continues at that velocity, will the bomb land: – A. Directly underneath the plane – B. Behind the plane – C. Ahead of the plane
- 15. Answer! • If they’re going at the same x-velocity, it will land directly beneath the plane!
- 16. ***Checkpoint Question 3*** • Suppose two balls released from the same height: one is dropped from rest, and the other is thrown horizontally. Which will hit the ground first? Why? • They will hit at the same time, because they are both being pulled by gravity at the same rate! Only one will have a greater x-range.
- 17. X-Range and Max Vertical Height • Your x- distance is called your __________and your range height y-distance is called your __________. • Your range and height depend on: angle – The _______ that the projectile is launched at and velocity – The __________it is launched at
- 18. Angle • Increasing your angle increases your range until you reach 45°. • 45° to 90°, increasing your angle decreases your range.
- 19. Initial Velocity • The greater the initial velocity of a projectile, farther the ____________it will go:
- 20. The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for. Earth
- 21. The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for. Small horizontal velocity Earth
- 22. The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for. Medium horizontal velocity Earth
- 23. The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for. Fast horizontal velocity Earth
- 24. Projectile Motion A projectile is always falling. The faster it moves horizontally, the farther away it will be when it hits the ground. Slow Medium Fast

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