# 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

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> 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       Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Travel and Distance Solvers Lessons Answers archive Quiz In Depth

 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(28595)   (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.