SOLUTION: When an anvil is dropped into gorge, the speed with which it strikes the ground is directly proportional to the square root of the distance it falls. An anvil that falls 400 feet h

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Question 769629: When an anvil is dropped into gorge, the speed with which it strikes the ground is directly proportional to the square root of the distance it falls. An anvil that falls 400 feet hits the ground at a speed of 160 feet per second. Find the height of a cliff over the gorge if a drooped anvil hits the ground at a speed of 128 feet per second.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Speed is directly proportional to square root of distance
S = k/sqrt D
k is the constant of proportionality
To find 'k'
S = k/sqrt D
160 = k/sqrt400
160 = k/20
k = 3200
Formula:
S = 3200/sqrt D
128 = 3200/sqrt D
sqrt D = 3200/128
sqrt D = 25
D = 25^2
D = 625 feet
Hope this helps.
:-)