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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. 1) How far away is the object that reflected the ultrasound? 2) 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? 3) 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 HzHz?

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. 1) How far away is the object that reflected the ultrasound? 2) 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? 3) 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 HzHz?

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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. 1) How far away is the object that reflected the ultrasound? 2) 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? 3) 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 HzHz?
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. 1) How far away is the object that reflected the ultrasound? 2) 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? 3) 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 HzHz?
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