Bats use echolocation to navigate and find food by emitting sound waves that are reflected off...

Bats use echolocation to navigate and find food by emitting sound waves that are reflected off their surroundings. If something nearby is moving, the reflected wave will return to the bat with a different frequency. Take the temperature of air to be 18 °

a. A bat is hanging from the roof of a cave and emits a sound pulse every 0.6 seconds trying to find a bug to eat. If it takes 2.1 seconds for a pitch of 1.61 Hz to return, how far away is the bug and what is its velocity?

b. How fast must the bat fly towards this bug to receive a pitch two octaves higher than its own emitted pitch?

c. Flying at this speed, how long does it take for the bat to catch the bug?
Note: you will need to utilize relative velocity and take into account the time it takes for the sound to return to the bat before it takes off

d. Is this reasonable for a regular bat or do we need a mutant bat?

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genius_generous answered 1 year ago

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