A Tennis Player at the Australian Open Wants to Slam $\frac{v_{0 y}}{v_{0 x}}$

question 44

Multiple Choice

A tennis player at the Australian Open wants to slam a serve at O so that the ball lands just inside the opposite corner of the court. What should the ratio $\frac{v_{0 y}}{v_{0 x}}$ be for the initial velocity $\overrightarrow{\mathbf{v}}_{0}$ ? The time t = 0 is the time when the ball is hit by the racket.

• A)W/L
• B)L/W
• C) \(\frac{1}{2} g t^{2} / L\)
• D) \(\frac{1}{2} g t^{2} / W\)
• E) \(\frac{1}{2} g t^{2} / \sqrt{L^{2}+W^{2}}\)

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Definitions:

Operations

Mathematical procedures like addition, subtraction, multiplication, and division used to solve equations or manipulate expressions.

Like Terms

Terms in an algebraic expression that have the same variable raised to the same power, making them combinable through addition or subtraction.

Evaluate

To assess or calculate the value or amount of something through analysis or computation.

Six-Figure Accuracy

A level of precision in numerical calculations or measurements that is accurate to six digits.