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huffy
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Homework Statement
An audio transmitter and receiver are mounted side by side as shown in the figure. The transmitter emits sound of frequency v. A distant flat plate approaches the instrument at speed Vtarget and the receiver detects sound waves of frequency v' reflected from the target. The difference in frequency between the emitted and detected frequencies can be used as a motion detector.
A) Show that v'/v=v+Vtarget / v-Vtarget
B) In many cases V[/SUB]target[/SUB] <<v . For such cases show that V'/v=1+2(vtarget /v)
FIGURE: http://imgur.com/bLXnm2L
Homework Equations
Doppler effect
The Attempt at a Solution
Ive already accomplished A by realizing there were two doppler shifts and that the frequency gets larger as it goes to the object, than even larger than that when it bounces back to the receiver. Part B is where I'm stuck because I am not sure what i need to assume to create that formula.