**Unformatted text preview: **c) For an airplane, the approximation c v << is certainly valid, and solving the expression found in part (b) for , v , s m 8 . 56 Hz 10 2.43 Hz 46.0 ) s m 10 00 . 3 ( 8 8 S beat S R S = × × = =-= f f c f f f c v and the approximation c v << is seen to be valid. Note that in this case, the frequency difference is known to three figures, so the speed of the plane is known to three figures....

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- Binomial Theorem, Approximation, Elementary arithmetic, fs fs