Problema Solution
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 16 seconds before opening the parachute. If the person falls 64 feet in 2 seconds, find how far he falls in 16 seconds.
Answer provided by our tutors
The distance is directly proportional to the square of the time means:
d = k * t², where k is constant
We know that if t = 2 sec, then d = 64, so we use this info to find k:
64 = k * (2)²
k * (2)² = 64
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click here to see the equation solved for k
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k = 16
The formula for the distance is:
d = 16t^2
Now we need to find d when t = 16 sec:
d = 16 t²
d = 16*16^2
d = 4,096 ft
In 16 second the person will fall 4,096 feet in distance.