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Projectile Motion

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Anand Raju
Anand Raju

Projectile motion describes the path of an object thrown or projected into the air. It has both horizontal and vertical motion. In the horizontal direction, the object maintains a constant velocity, but in the vertical direction it accelerates downward due to gravity. This results in a parabolic trajectory. The horizontal and vertical motions can be analyzed separately, with gravity only affecting vertical motion. The horizontal range of a projectile depends on its initial velocity and launch angle, with the maximum range achieved at 45 degrees.

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Projectile Motion
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
First Lets think about objects that move in a straight line
Horizontal Motion If there were no gravity, an object moving horizontally (in the xdirection) would continue to move in a straight line _________________
Vertical Motion If an object is dropped vertically (in the y-direction), then _______ causes gravity it to accelerate ___________ downwards
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!
Take-Home Message!!! INDEPENDENT For a projectile: THE X-VELOCITY IS _________________ OF THE Y-VELOCITY!!! The speed in the x-direction doesnt care what the speed in the y-direction is!
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:
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:
Velocity Vectors Lets examine the x and y velocity vectors for a projectile: Its x-velocity staysconstant __________and its y-velocity increases _____________.
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 _________
*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??
Answer! Its y-velocity is different than yours, but its x-velocity stays the same as you. It should land back into your hands!
**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
Answer! If theyre going at the same x-velocity, it will land directly beneath the plane!
***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.
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
Angle Increasing your angle increases your range until you reach 45属. 45属 to 90属, increasing your angle decreases your range.
Initial Velocity The greater the initial velocity of a projectile, farther the ____________it will go:
The trajectory of an object depends on how fast it is moving horizontally and how long gravity acts on it for. Earth
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
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
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
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
Projectile Motion

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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 Lets 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 doesnt 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 Lets 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 theyre 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属. 45属 to 90属, 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