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Understanding Projectile Motion in Baseball: Key Concepts and Applications

This lecture on projectile motion delves into the physics behind baseball dynamics, discussing how objects move in two-dimensional space under constant acceleration. Key concepts include the independence of motion in the x and y directions, the definition of projectiles, and solving problems using kinematic equations. The presentation emphasizes real-world applications, such as the effects of angle and velocity when hitting or pitching a baseball, determining maximum range and height, and provides demonstrations to illustrate these principles in action.

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Understanding Projectile Motion in Baseball: Key Concepts and Applications

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  1. PHYS16 – Lecture 7 Projectile Motion: Physics of Baseball September 22, 2010

  2. Key Concepts: Physics 2D Motion • 2D Motion • Constant acceleration • Independent in x and y • Relative Motion • Projectile Motion • Definition • Solving problems using kinematic equations • Max range and height

  3. Projectile Motion • Projectile = a propelled object that travels through the air • Projectile motion or not? • Throw up (Yes), throw straight out (Yes), Roll on ground (No) http://www.ux1.eiu.edu/~cfadd/1150/08Statics/CoM.html

  4. Kinematic Equations X Y

  5. Separate and Solve • Pitcher winds up and throws the ball, then what happens? • Ball experiences free fall in y and constant motion in x http://homepage.usask.ca/~dln136/projectile /pages/pm_homeage.html http://www.mrfizix.com/home/projectilemotion_files/image080.jpg

  6. Separate and Solve • Batter hits the ball up at an angle, then what happens? • Ball experiences free fall in y and constant motion in x http://www.mikeepsteinhitting.com/Portals/0/images /cobb_ty_batting_1.jpg http://schools-wikipedia.org/images/189/18902.png

  7. What does that mean? • If I drop an object and throw an object do they land at the same time? (Yes) • Where should I aim if I shoot an object and an object drops at the same time? (At the object) Shoot the Monkey Demo! http://physics.ucr.edu/~wudka/Physics7/Notes_www/img149.gif

  8. What does that mean? • If I throw two objects straight out with different speeds, do they land at the same time? • Yes! • Quarter/Ruler Demo

  9. What does that mean? • At the start… • At the top of the arc… • When it is back at the same height…

  10. What does that mean? • At the start… • At the top of the arc… • When it is back at the same height…

  11. Optimizing your Batting Skills • What is the best angle to hit the ball at? • Let’s find max height and range • Measure projectile motion for Ball launcher • Derive Equations • No air resistance -> 45 degrees is the best

  12. Summary • For 2D motion x and y are independent so separate and solve • Projectile Motion – objects propelled through air • Initial x velocity but no x acceleration • Initial y velocity, acceleration due to gravity • Top of arc, y velocity is zero

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