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

Kaitlyn Harding

27 June, 01:02

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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Chandler Hull · 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