SOLUTION: 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 par

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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