SOLUTION: - The distance, s, that an object falls is directly proportional to the square of the time, t , of the fall. If an object falls 16 feet in 1​ second, how far will it fall in

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Question 1071642: - The distance, s, that an object falls is directly proportional to the square of the time, t , of the fall. If an object falls 16 feet in 1​ second, how far will it fall in 2 ​seconds?
- How long will it take an object to fall 400 feet?
- direct variation = y=kx%5En where the first step is to find the constant, and I'm unsure of how to set it up!

Answer by ikleyn(52816) About Me  (Show Source):
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- The distance, s, that an object falls is directly proportional to the square of the time, t , of the fall.
If an object falls 16 feet in 1​ second, how far will it fall in 2 ​seconds?
- How long will it take an object to fall 400 feet?
- direct variation = y=kx%5En where the first step is to find the constant, and I'm unsure of how to set it up!
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1.  If an object falls 16 feet in 1​ second, how far will it fall in 2 ​seconds?  --->  16%2A2%5E2 = 16*4 = 64 feet.


2.  - How long will it take an object to fall 400 feet?  --->  t = sqrt%28400%2F16%29 = sqrt%2825%29 = 5 seconds.