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Projectile motion Grade 9
1) Projectile motion refers to the motion of objects thrown or projected into the air at an angle. It is determined by the object's initial velocity and gravity. 2) A projectile moves horizontally with constant velocity while being accelerated vertically by gravity. This results in a curved parabolic trajectory. 3) Maximum range is achieved when the projectile is launched at an angle of 45 degrees, as the horizontal and vertical motions are balanced at that angle.
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Projectile motion Grade 9
- 1. Projectile Motion Motion InTwo Dimensions We restrict ourselves to objects thrown near the Earth’s surface so that gravity can be considered constant.
- 2. Objective At the endof the lesson the learners will be able to : •Investigate the relationship between the projection angle, the height and range of the projectile
- 3. Projectile motion refersto the motion of an object that is thrown, or projected into the air at an angle. The motion of a projectile is determined only by the object’s initial velocity and gravity.
- 4. Projectile motion appliesto sports.
- 5. Projectile motion appliesto destructive projectiles.
- 6. Projectile motion isa combination of horizontal motion and vertical motion. The horizontal motion of a projectile is constant because no gravitational force acts horizontally
- 7. The vertical motionof a projectile is nothing more than free fall with a constant downward acceleration due to gravity.
- 8. The vertical motionof a projected object is independent of its horizontal motion.
- 10. A projectile moveshorizontally with constant velocity while being accelerated vertically. The result is a motion in a curved path.
- 12. The path ofa projectile is called its trajectory. The trajectory of a projectile in free fall is a parabola.
- 13. A projectile, onceprojected, continues in motion by its own inertia and is influenced only by the downward force of gravity.
- 14. An object projected horizontallywill reach the ground in the same time as an object dropped vertically. No matter how large the horizontal velocity is, the downward pull of gravity is always the same.
- 16. The cannonball fallsthe same amount of distance as it did when it was merely dropped from rest
- 18. Horizontally launched projectile Horizontalvelocity is constant. Vertical velocity is changing due to gravitational acceleration..
- 19. Vertically launched projectile Thehorizontal velocity component remains the same size throughout the entire motion of the cannonball.
- 20. Projectiles launched atdifferent angles.
- 21. Sports Trivia Maximum rangeis achieved if the projectile is fired at an angle of 45 degrees with respect to the horizontal.
- 25. In Conclusion A projectileis any object thrown horizontally or vertically upon which the only force acting is gravity. Projectiles travel with a parabolic trajectory due to the influence of gravity. There are no horizontal forces acting upon projectiles and thus no horizontal acceleration. The horizontal velocity of a projectile is constant. there is a vertical acceleration caused by gravity (9.8 m/s). The horizontal motion of a projectile is independent of its vertical motion.
- 26. Relationship between anglesand the height: •As the angle increases, the height also increases. Relationship between the angle and the range: •If the angle is less than 45 degrees, the range is increasing. if the angle is greater than 45 degrees the range is decreasing. Relationship between the angle and the time: •As the angle increases, the time also increases. Maximum range is achieved if the projectile is fired at an angle of 45 degrees with respect to
- 27. In the diagrambelow, two different possible trajectories are shown for a ball thrown by a center fielder to home plate in a baseball game. Which of the two trajectories, the higher on or the lower one, will result in a longer time for the ball to reach home plate? Explain
- 28. Test your knowledge Supposea snowmobile is equipped with a flare launcher which is capable of launching a sphere vertically. If the snowmobile is in motion and launches the flare and maintains a constant horizontal velocity after the launch, then where will the flare land (neglect air resistance)? A.On the snowmobile. b. Ahead the snowmobile. C. Behind the snowmobile.
- 29. Test your knowledge Supposean airplane drops a flare while it is moving at constant horizontal speed at an elevated height. Assuming that air resistance is negligible, where will the flare land relative to the plane? A. Directly below the plane. B. Below the plane and ahead of it. C. Below plane and behind it.
- 32. 1. Why doesthe horizontal component of a projectile’s motion remain constant? 2. Why does the vertical component of a projectile’s motion undergo change? 3. A projectile is launched vertically at 100 m/s. If air resistance is neglected, at what speed does it return to its initial level? ASSIGNMENT. In a long bond paper, draw 2 situations in which you can observe projectile motion and explain each situation.
Editor's Notes
- #2 Why do you think that we should restrict ourselves to object near the Earth’s surface.
- #4 Based on our activity, what are some examples of projectile motions?
- #5 Aside from this examples what are other example of projectiles?
- #6 One example too is cannon missiles and many more.
- #7 Since we are done in horizontal and vertical motion now we are going to combined the two. That leads us to projectile motion.
- #26 Based on your understanding, what is Projectile Motion? What is the reason why projectile travel with parabolic trajectory? Are there horizontal forces acting upon projectiles? What is the horizontal velocity of a projectile? What is the relationship of vertical motion and horizontal motion?