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

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

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

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

MODEL MODEL Velocity adjusted for air resistance:

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

To help protect your privacy, PowerPoint has blocked automatic download of this picture. FUTU FUTURE WORK: WORK: Bouncing & restitution coefficient: y x Solution: Mathematica’s EventLocator

FUTU FUTURE WORK WORK 3 rd dimension,  : 

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

QUESTIONS? QUESTIONS? ?