Multiple choice

A boy standing at some distance from a cliff claps his hands and heard an echo $3s$ later. What is the distance of the cliff from the boy, if speed is $340 m{s}^{-1}$.

  1. $226 m$
  2. $510m$
  3. $453 m$
  4. $1020m$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sound travels to the cliff and back in 3 seconds. Distance = Speed * Time = 340 * 3 = 1020 meters. This is the round trip distance, so the distance to the cliff is 1020 / 2 = 510 meters.

AI explanation

An echo involves the sound traveling from the source to the cliff and reflecting back, so the total distance traveled by the sound is twice the distance between the boy and the cliff. Using the distance formula, this total distance is 340 m/s multiplied by 3 s, which equals 1020 m. Dividing this total sound path by 2 gives the actual distance of the cliff from the boy as 510 m.