SOLUTION: Variation Problem Disregarding wind resistance, the distance a body falls from rest varies directly as the square of the time it falls. If a skydiver falls 64ft in 2 seconds, ho

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Question 180733: Variation Problem
Disregarding wind resistance, the distance a body falls from rest varies directly as the square of the time it falls. If a skydiver falls 64ft in 2 seconds, how far will he fall in 10 seconds?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of variation:
d+=+kt%5E2 where d = distance in feet and t = time in seconds. k = the constant of variation. To find the value of k, substiute d = 64 ft. and t = 2 secs.
64+=+k%282%5E2%29
64+=+k%284%29 Divide both sides by 4.
k+=+16
The equation is now:
d+=+16%2At%5E2 Substitute t = 10 secs.
d+=+16%2810%5E2%29
d+=+16%28100%29
highlight%28d+=+1600%29feet.