A person standing in front of a cliff fires a gun and hears its echo after 3s. If the speed of sound in air is $336 \mathrm{~ms}^{-1}$. Calculate the distance of the person from the cliff.
Explanation
The time taken for the sound to travel from the cliff to the person and back is 3 s. The distance traveled by the sound is twice the distance between the person and the cliff. Let the distance between the person and the cliff be x. Then, the time taken for the sound to travel from the cliff to the person is x/336 s. The time taken for the sound to travel from the person to the cliff is also x/336 s. Therefore, the total time taken is 2x/336 = 3 s. Solving for x, we get x = 336 m.
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