SOLUTION: The distance that a body falls in t seconds varies directly as the square of t. if body falls 16 feet in 1 seconds, how long will it take to fall 144 ft?

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Question 577440: The distance that a body falls in t seconds varies directly as the square of t. if body falls 16 feet in 1 seconds, how long will it take to fall 144 ft?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance body falls
given:
+d+=+k%2At%5E2+ where k is some constant
+16+=+k%2A1%5E2+
+k+=+16+
so, +d+=+16t%5E2+
+144+=+16t%5E2+
+t%5E2+=+144%2F16+
+t%5E2+=+9+
+t+=+3+
It will take 3 sec