SOLUTION: a stone is dropped from a cliff. In the 4 sec, the sound of the stone striking the ground reaches the top of the cliff. If we assume that the speed of sound is 1100 ft/sec, how hig

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Question 140440This question is from textbook
: a stone is dropped from a cliff. In the 4 sec, the sound of the stone striking the ground reaches the top of the cliff. If we assume that the speed of sound is 1100 ft/sec, how high is the cliff? This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let f="time to fall" and s="time for sound"

gravitational acceleration is 32ft/sec^2 __ h=.5(32)f^2=16f^2 __ sqrt(h)=4f __ (sqrt(h))/4=f

s=h/1100

s+f=4

substituting __ h/1100+(sqrt(h))/4=4 __ h+275(sqrt(h))=4400 __ h+275(sqrt(h))-4400=0

use quadratic formula to find sqrt(h) __ square result to find h