Projectile Motion: Physics of Baseball September 22, 2010

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Presentation transcript:

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

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

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

Kinematic Equations X Y

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

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

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

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

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

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

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

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