The distance traveled by the echo is used to determine the player's distance from the wall
The player's distance from the wall is 66 m.
Reason:
Known parameter;
The time after which the tennis player hears the echo of the ball, t = 0.4 s
The speed of sound in air, v = 330 m/s
The distance of the player from the wall = Required
Solution:
Let d, represent the distance of the player from the wall
An echo is the reflection the wave of the sound of hitting the ball that
travels to the wall and back
The distance traveled by the sound to the wall, d, and back, (d again), is 2·d
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Therefore;
Therefore;
[tex]330 = \dfrac{2 \cdot d}{0.4}[/tex]
330 × 0.4 = 2·d
[tex]d = \dfrac{330 \times 0.4}{2} = 66[/tex]
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