SOLUTION: The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? thank

Question 176409This question is from textbook college algebras
: The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? thank you for your help with this.
As of right now I have 144/y=3^2/5^2 am I on the right track? This question is from textbook college algebras

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let d=distance and t=time

"The distance that a freely falling body falls varies directly as the square of the time it falls" means that

Let's find the value of "k"

Start with the given equation.

Plug in and

Square 3 to get 9

Divide both sides by 9.

Divide.

So the value of k is

This means that the equation is (after plugging in )

--------------------------------------------

Now let's answer the main question: "If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds?"

Start with the given equation.

Plug in

Square 5 to get 25

Multiply

So the object will fall 400 ft in 5 seconds.

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