A man standing near a cliff fires a gun. He hears an echo after 4 seconds. What is the distance between the cliff and man if the velocity of sound is 330 m/s.
The distance between the man and the cliff is 660 m.
Explanation:
The velocity of the sound, v = 330 m/s
Total time required to hear the echo, t = 4 s
This 4 seconds is the time taken by the sound to travel from the man to the cliff and then from the cliff to the man. We know the equation of speed as:
Speed = distance / time
⇒ distance = speed × time
= 330 × 4
= 1320 m
This distance is the total distance traveled by the sound to hear the echo. So the distance between the cliff and the man will be half the total distance traveled by the sound.
∴ Distance between the man and the cliff = 1320 / 2
Answers & Comments
Answer:
The distance between the man and the cliff is 660 m.
Explanation:
The velocity of the sound, v = 330 m/s
Total time required to hear the echo, t = 4 s
This 4 seconds is the time taken by the sound to travel from the man to the cliff and then from the cliff to the man. We know the equation of speed as:
Speed = distance / time
⇒ distance = speed × time
= 330 × 4
= 1320 m
This distance is the total distance traveled by the sound to hear the echo. So the distance between the cliff and the man will be half the total distance traveled by the sound.
∴ Distance between the man and the cliff = 1320 / 2
= 660 m