On a 20ºC night, a bat hovering in the air emits an ultrasonic chirp that has a frequency of 45 kHz. It hears an echo 54 ms later. a. Suppose the bat's timing uncertainty is +1 ms; that is, what the bat perceives as a 54 ms delay could actually be anywhere in the range 53-55 ms. What is the uncertainty in the distance to the object? b. Suppose the object is an insect flying straight away from the bat. What is the insect's speed if the ultrasonic echo is shifted down in frequency by 750 Hz?

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On a 20°C night, a bat hovering in the air
emits an ultrasonic chirp that has a frequency
of 45 kHz. It hears an echo 54 ms later.
a. Suppose the bat's timing uncertainty is ±1
ms; that is, what the bat perceives as a 54 ms
delay could actually be anywhere in the
range 53-55 ms. What is the uncertainty in
the distance to the object?
b. Suppose the object is an insect flying
straight away from the bat. What is the
insect's speed if the ultrasonic echo is shifted
down in frequency by 750 Hz?
Transcribed Image Text:On a 20°C night, a bat hovering in the air emits an ultrasonic chirp that has a frequency of 45 kHz. It hears an echo 54 ms later. a. Suppose the bat's timing uncertainty is ±1 ms; that is, what the bat perceives as a 54 ms delay could actually be anywhere in the range 53-55 ms. What is the uncertainty in the distance to the object? b. Suppose the object is an insect flying straight away from the bat. What is the insect's speed if the ultrasonic echo is shifted down in frequency by 750 Hz?
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