SOLUTION: The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to t      Log On


   

Question 247789: The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)
A branch of a tree hangs 575 ft above the soil. If a twig breaks off, how long will it take it, falling freely, to reach the soil
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




But you are given and need to determine



Multiply both sides by



Take the square root of both sides:

.

Discard the negative root; the idea of negative time in this context being an absurdity.



To obtain your specific answer, substitute the given value for and then do the required arithmetic.

By the way, that is an unbelievably tall tree. I say unbelievably because "Lost Monarch," the tallest of the California Coastal Redwoods and said to be the world's tallest tree is approximately 320 feet tall measured from the ground.

John