Question 914482: Hi, I need help solving this math word problem please.
The distance d that an object falls is directly proportional to the square of the time of the fall, t. A person who is parachuting for the first time is told to wait 19 seconds before opening the parachute. If the person falls 64 feet in 2 seconds, find how far he falls in 19 seconds.
According to my professor, the answer is: 5776 feet
Would you please show me the steps on how my professor got this answer please. Thank you.
Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website! Hi, I need help solving this math word problem please.
The distance d that an object falls is directly proportional to the square of the time of the fall, t. A person who is parachuting for the first time is told to wait 19 seconds before opening the parachute. If the person falls 64 feet in 2 seconds, find how far he falls in 19 seconds.
According to my professor, the answer is: 5776 feet
Would you please show me the steps on how my professor got this answer please. Thank you.
Based on the scenario, formula is:  , with:
d being the fallen distance at a certain time
k being the constant of variation
T being time taken to fall to a certain distance
Thus, becomes:
64 = 4k
k =  , or 16
d, or distance he falls = 5,776 ft
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