Question

The speed of sound is $310m{s}^{-1}$. A person fires a gun. An echo is heard after $1.5s$. Calculate the distance of the person from the cliff from which the echo is heard.

Answer 1

Find the distance of the person from the cliff

Given data:

Time for echo, $t=1.5s$

Speed,$s=310m{s}^{-1}$

$Dis\tan ce=Speed\times Time$

Time after which the echo is heard$=$time taken by the sound wave to reach the cliff and come back to the man

The total distance covered by the wave in this process$=2d$

$2d=s\times t$

$d=\frac{(s\times t)}{2}$

Substitute the values

$=\frac{310\times 1.5}{2}$

$=232.5m$

The distance of the person from the cliff from which the echo is heard.is $232.5m$