Engineering >> Civil & Environmental EngineeringCalculus in Tennisby Roberto Rodriguez
Submitted : Spring 2020 In this project a serve was hit on a tennis court and what was recorded was the speed in miles per hour via the cameras that were on the court. Measurements were also taken from where the ball was struck, where the ball struck the ground directly vertically, and horizontally to the sideline from where the ball was originally struck. These two distances where then used to find the length of the hypotenuse. The derivative of the Pythagorean theorem was taken and 0 was plugged in for x as the horizontal distance to the sideline stayed the same and the velocity in feet per second for y converted from miles per hour in order to find dh/dt. Once that value was calculated that meant that the amount of feet covered by the serve per second had been calculated using the exact spot the ball was struck and the distance to the sideline as well as the distance from where the ball was struck to the exact spot in which the ball touched the ground on the other side of the net. Related Links:
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