Beer Pong Investigating scenarios and strategies Maureen St - - PowerPoint PPT Presentation

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Beer Pong Investigating scenarios and strategies Maureen St Georges Scientific Computing | Spring 2007 TABL TABLE 2 feet 8 feet TARGETS TARGETS PROJECTI PROJECTILE ping-pong ball m = 2.7 g r = 20 mm RACKS RACKS SHOTS SHOTS

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Beer Pong

Investigating scenarios and strategies

Maureen St Georges Scientific Computing | Spring 2007

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8 feet 2 feet TABL TABLE

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TARGETS TARGETS

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PROJECTI PROJECTILE ping-pong ball m = 2.7 g r = 20 mm

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RACKS RACKS

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SHOTS SHOTS

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GOALS GOALS model projectile motion and bouncing motion of ping-pong ball explore probabilities of advantageous shots and racks

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MODEL MODEL Angle necessary to reach a target (x, y) with initial velocity v: Initial Velocity (m/s) Launch Angle ()

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MODEL MODEL Velocity adjusted for air resistance:

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MODEL MODEL Trajectory with initial velocity v and angle  to reach target (x, y): x y

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FUTU FUTURE WORK: WORK: x y Bouncing & restitution coefficient: Solution: Mathematica’s EventLocator

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FUTU FUTURE WORK WORK 3rd dimension,  :

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FUTU FUTURE WORK WORK explore probabilities: racks: line racks dense racks shots: arc bounce

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QUESTIONS? QUESTIONS?