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Understanding Projectile Motion: Key Concepts and Practical Problems

Dive into the fascinating world of projectile motion, where objects in flight follow parabolic paths influenced solely by gravity. This guide explores the fundamental principles, including the separation of horizontal and vertical motion, as well as the equations that govern projectile trajectories. Real-life scenarios, such as a meatball rolling off a table or a bullet shot into the air, illustrate the concepts effectively. Enhance your understanding with practice problems designed to test your knowledge. Uncover how to analyze motion and calculate velocities, flight times, and distances!

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Understanding Projectile Motion: Key Concepts and Practical Problems

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  1. 3.3 Projectile Motion

  2. Projectile Motion • The path of a thrown baseball, shot basketball, or hit volleyball is a parabola. • Projectiles • Object in flight only under influence of gravity • Follows parabolic path

  3. vx vy Projectile Motion • Consider x and y separately • x • No acceleration ax = 0 • vx remains constant • y • a = -9.80 m/s2 • vy changes

  4. On Top of Spaghetti… • A meatball with v = 5.0 m/s rolls off a 1.0 m high table. How long does it take to hit the floor? • t = 0.45 s • What was the velocity when it hit? • v = 6.7 m/s @ 42°

  5. The Falling Box • A truck (v = 11.2 m/s) turned a corner too sharp and lost part of the load. A falling box will break if it hits the ground with a velocity greater than 15 m/s. The height of the truck bed is 1.5 m. Will the box break? • v = 12 m/s, No it doesn’t break.

  6. Reasoning Strategy • For Projectile Motion • Deal with y before x • Find time of flight 1st

  7. I Shot a Bullet into the Air… • While driving down a road a bad guy shoots a bullet straight up into the air. If there was no air resistance where would the bullet land – in front, behind, or on him? • If air resistance present, bullet slows and lands behind. • No air resistance the vx doesn’t change and bullet lands on him.

  8. Height of a Fly Ball • A batter hits a ball at 35° with a velocity of 32 m/s. How high did the ball go? • H = 17 m • How long was the ball in the air? • t = 3.8 s • How far did the ball go? • x = 98 m

  9. Practice Work • You should be able to attempt • 74 #CQ2 – 8, 10, P13, 15 – 20, 22, 24, 27, 29, 31, 33 • Total of 21 problems (come to class to work on problems tomorrow) • This assignment worth double points!

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