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The physics of bank shots
Date:3/10/2011

The basketball is in your hands. The score is tied and there are only a few seconds left on the clock. You have the ball about 10 feet away from the basket on the right side of the court, just outside the free-throw lane. It's decision time: Is it best to try a direct shot to win the game on a swish? Or do you use the backboard and bank home the winning basket?

Time's up; the buzzer sounds. Were you a hero or a goat?

New research by engineers at North Carolina State University show that you had a better chance of scoring that particular game-winning bucket with a bank shot than with a direct shot.

After simulating one million shots with a computer, the NC State researchers show that the bank shot can be 20 percent more effective when shooting at many angles up to a distance of about 12 feet from the basket. Bank shots are also more effective from the "wing" areas between the three-point line and the free-throw lane. However, straight-on shots those corresponding to the area around the free-throw line from further than 12 feet are not as well suited for bank shots.

The researchers also found the optimal points where the simulated made baskets were aimed. The results show the optimal aim points make a "V" shape near the top center of the backboard's "square," which is actually a 24-inch by 18-inch rectangle which surrounds the rim. Away from the free-throw lane, these aim points were higher on the backboard and thus further from the rim. From closer to the free-throw lane, the aim points were lower on the backboard and closer to the rim.

The researchers also discovered that if you imagine a vertical line 3.327 inches behind the backboard and found where it crossed the aim point on the "V" shape on the backboard, you'd find the optimal spot to bank the basketball to score a basket.

"Basketball players can't take a slide rule out on the court, but our study suggests that a few intuitive
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Contact: Mick Kulikowski
mick_kulikowski@ncsu.edu
919-515-8387
North Carolina State University
Source:Eurekalert  

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