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You drop a stone down a well that is 9.5 m deep. How long is it before you hear the splash? The speed of sound in air is 343 m/s and air resistance is negligible.

 Apr 8, 2015

Best Answer 

 #1
avatar+128707 
+5

We need to calculate the time for the stone to fall...we have

-9.5 = -4.9t^2      divide both sides by -4.9

1.94 = t^2            take the square root of each side

t = 1.39 secs.

Since sound travels at 343m/s...the time for the sound to travel back up the well =  9.5m / 343m/s  = about 0.028 sec.

So the splash is heard [1.39 + 0.028 ] = about 1.418 seconds after the stone is dropped

 

  

 Apr 8, 2015
 #1
avatar+128707 
+5
Best Answer

We need to calculate the time for the stone to fall...we have

-9.5 = -4.9t^2      divide both sides by -4.9

1.94 = t^2            take the square root of each side

t = 1.39 secs.

Since sound travels at 343m/s...the time for the sound to travel back up the well =  9.5m / 343m/s  = about 0.028 sec.

So the splash is heard [1.39 + 0.028 ] = about 1.418 seconds after the stone is dropped

 

  

CPhill Apr 8, 2015

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