SOLUTION: An object in free fall travels a distance s that is directly proportional to the square of the time t. If an object falls 1,024 feet in 8 seconds, how far will it fall in 12 second

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Question 322376: An object in free fall travels a distance s that is directly proportional to the square of the time t. If an object falls 1,024 feet in 8 seconds, how far will it fall in 12 seconds?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of proportionality:
s%28t%29+=+kt%5E2 where k is the constant of proportionality.
First find the value of k by substituting the given values of s=1,024 feet and t=8 seconds.
1024+=+k%288%5E2%29
1024+=+k%2864%29
k+=+16 Substitute this into the given function then you can solve the problem:
s%28t%29+=+16t%5E2 Substitute t = 12.
s%2812%29+=+16%2812%5E2%29 Evaluate.
s%2812%29+=+16%28144%29
s%2812%29+=+2304feet.
The objct will fall 2304 feet in 12 seconds.