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Projectile Motion: Independence of Horizontal and Vertical Motion

Learn about the principles of projectile motion, including the independence of horizontal and vertical motion. Understand the concepts, formulas, and calculations involved in projectile motion. Practice solving various problems related to projectile motion.

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Projectile Motion: Independence of Horizontal and Vertical Motion

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  1. Go to your assigned seat. SILENTLY. Get your Lecture Notebook. SILENTLY. Do the quick write. SILENTLY. Thank you and Have a nice day! REMINDERS

  2. Projectile Motion Independence of Horizontal and Vertical Motion

  3. ? REVIEW MOTION One Dimension Two Dimension Horizontal Motion Vector Projectile Vertical Motion

  4. Recalling Principles Horizontal Motion Vertical Motion

  5. What can you remember?

  6. Projectile motion • A projectile is any object that is “launched.” • Its motion can be straight up/down; • Or it can be horizontal at a height; • Or it can be upwards at an angle; • Whichever case, the key idea is the same: the horizontal and vertical motions are INDEPENDENT of each other.

  7. Projectile motion

  8. Relevance…

  9. Predict… Observe… Explain…

  10. This Is Important! • It does not matter if the object falls vertically; • Or has a horizontal velocity. • The acceleration downwards is always the same.

  11. This Picture Shows the Idea Constant Velocity Acceleration

  12. The Path Of a Projectile • Is curved. • The curved line is called a parabola. • These sparks fall in a parabolic path. • The parabolic path is referred to as a TRAJECTORY.

  13. let's put some math with it…

  14. horizontal Vertical x y t = square root of 2d/g Vx = dx / t dy = gt2 /2 dx = Vx t Vx = Vo x Always remember that the TIME in vertical is EQUAL to the time in horizontal.

  15. Off the cliff or Semi-parabolic • A cannon ball is shot off a 100 m high cliff. The ball has an initial horizontal velocity but no vertical velocity. It strikes the ground 90 m from the base of the cliff. What velocity was it thrown?

  16. Dustin leaps from the edge of a cliff with a velocity of 3.3 m/s horizontally. He hits the water 1.2 s later. How far out does he land? How high is the cliff? • Brian leaves the edge of a 12m tall cliff with a horizontal velocity of 4.8 m/s. what time is he in the air? How far from the base of the cliff does he land?

  17. A toy car runs off the edge of a table that is 1.225 m high. If the car lands .40 m from the base of the table, a. how long did it take for the car to fall? b. how fast was the car going on the table?

  18. An object is thrown horizontally off the cliff with an initial velocity of 5 m/s, the object strikes the ground 3 s later, how far from the base of the cliff will the object strike the ground?

  19. Try… • An object is thrown horizontally from a 40 m cliff and moves at a rate of 12 m/s. Determine the time for the object to reach the ground. What horizontal distance did it cover? • An cannon ball is shot and reach the ground within 40 s. It is found 90 m away from the cliff it was shot. Determine the height of the cliff and the horizontal velocity it was shot.

  20. A toy car runs off the end of a 1.2 m table at a speed of 5 m/s, determine the time will it take for the car to reach the ground and the distance it has covered away form the table. • A bullet is shot at a 10 m building at moves at a speed of 25 m/s, determine the time it will take for the bullet to reach the ground and the horizontal distance it has covered.

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