When a bat uses echolocation to determine the distance to an insect, it sends out a sound wave and waits to see how long the sound takes to echo back. Suppose now that a bat hears its echo 0.06 LaTeX: ss after it emitted the sound. If the speed of sound is 344.9 LaTeX: / frac{m}{s}m s, how far away is the insect in meters?

Question

Physics

Kieran Knapp

Today, 05:04

When a bat uses echolocation to determine the distance to an insect, it sends out a sound wave and waits to see how long the sound takes to echo back. Suppose now that a bat hears its echo 0.06 LaTeX: ss after it emitted the sound. If the speed of sound is 344.9 LaTeX: / frac{m}{s}m s, how far away is the insect in meters?

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Turtle · Answer 1

Distance travelled by sound in going to target (insect) and returning back = 2d, d is distance of target.

time t =.06 s

speed = distance / time

344.9 = 2d /.06

d = 10.35 m