Finding the Distance Fallen and Frequency Shift with Doppler's Effect

[blch0901]

Dopplers Effect, Please Help!

Homework Statement

A tuning fork vibrating at 514 Hz falls from rest and accelerates at 9.80 m/s2. How far below the point of release is the tuning fork when waves of frequency of 487 Hz reach the release point? (Take the speed of sound in air to be 343 m/s.)

Homework Equations

The Attempt at a Solution

fobs=[1/((1+u)/343)]*fsource

487=[1/((1+u)/343)]*514
u=19.01 m/s

That's as far as I got. I'm not sure what to do next or if I'm even on the right track. Any help would be appreciated. Thanks

 

[Delphi51]

The formula looks a little odd, but I think the 19 m/s is correct.
Next step is to use motion formulas to find out how far it has fallen to acquire that speed. You might want to find the fall time first.