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Projectile Motion

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Projectile Motion

1. 1. Projectile Motion
2. 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. 3. First… • Let’s think about objects that move in a straight line…
4. 4. Horizontal Motion • If there were no gravity, an object moving horizontally (in the xdirection) would continue to move in a straight line _________________
5. 5. Vertical Motion • If an object is dropped vertically (in the y-direction), then _______ causes gravity it to • accelerate ___________ downwards
6. 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. 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. 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. 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. 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. 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. 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. 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. 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. 15. Answer! • If they’re going at the same x-velocity, it will land directly beneath the plane!
16. 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. 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. 18. Angle • Increasing your angle increases your range until you reach 45°. • 45° to 90°, increasing your angle decreases your range.
19. 19. Initial Velocity • The greater the initial velocity of a projectile, farther the ____________it will go:
20. 20. The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for. Earth
21. 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. 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. 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. 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