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