The distance traveled by a falling object is directly proportional to the square of the time it takes to fall that far. If the object falls 100 feet in 2.5 seconds, how far does it fall in 5 seconds?

Question

Mathematics

Guest

22 November, 17:45

The distance traveled by a falling object is directly proportional to the square of the time it takes to fall that far. If the object falls 100 feet in 2.5 seconds, how far does it fall in 5 seconds?

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Answers (1)

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Rory Crane · Answer 1

400 ft

Step-by-step explanation:

Let the distance traveled = d

Let the time taken = t

d α t^2

d = kt^2

k = d / t^2

When d = 100 and t = 2.5secs

k = 100 / (2.5) ^2

k = 16

d = 16t^2

When t = 5secs

d = 16 (5) ^2

d = 16 * 25

d = 400 ft