Rohan stands in front of a distant cliff and claps his hands once. He hears the echo of his clap exactly $2$…
Rohan stands in front of a distant cliff and claps his hands once. He hears the echo of his clap exactly $2$ seconds later. If the speed of sound in air is $340$ m/s, how far is Rohan standing from the cliff?
$170$ m
$340$ m
$680$ m
$510$ m
Solution
The total distance traveled by the sound to the cliff and back in $2$ seconds is $340 \text{ m/s} \times 2 \text{ s} = 680 \text{ m}$. Therefore, the distance to the cliff is half of that, which is $340 \text{ m}$.