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

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) (Show Source): You can put this solution on YOUR website!
Write the equation of variation:
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.

Divide both sides by 4.

The equation is now:
Substitute t = 10 secs.

feet.
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