A police car is moving at 39.7 m/s to catch up with a speeder directly ahead. The speed limit is 29.1 m/s. A police car radar "clocks" the speed of the other car by emitting microwaves with frequency 4.10 × 101¹0 Hz and observing the frequency of the X reflected wave. The reflected wave, when combined with the outgoing wave, produces beats at a rate of 1400 s-1. If the speeder is going faster than the police car, how fast would it have to go so that the reflected microwaves produce the same number of beats per second?

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A police car is moving at 39.7 m/s to catch up with a speeder
directly ahead. The speed limit is 29.1 m/s. A police car radar
"clocks" the speed of the other car by emitting microwaves with
frequency 4.10 × 1010 Hz and observing the frequency of the
reflected wave. The reflected wave, when combined with the
outgoing wave, produces beats at a rate of 1400 s-1. If the speeder
is going faster than the police car, how fast would it have to go so
that the reflected microwaves produce the same number of beats
per second?
m/s
Transcribed Image Text:A police car is moving at 39.7 m/s to catch up with a speeder directly ahead. The speed limit is 29.1 m/s. A police car radar "clocks" the speed of the other car by emitting microwaves with frequency 4.10 × 1010 Hz and observing the frequency of the reflected wave. The reflected wave, when combined with the outgoing wave, produces beats at a rate of 1400 s-1. If the speeder is going faster than the police car, how fast would it have to go so that the reflected microwaves produce the same number of beats per second? m/s
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