An observation deck extends 199 feet out above a valley. The deck sits 149 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h= -16t^2+149. How long will it take for the object to be 5 feet above the valley floor?

Step-by-step explanation:

Give the height of the observation deck modeled by the equation

h= -16t^2+149 where t is in seconds;

To get the time it will take the object to be 5 feet above the valley floor, we wil substitute h = 5ft into the modeled equation and calculate t;

h= -16t^2+149

5= -16t^2+149

-16t^2 = 5-149

-16t^2 = -144

t² = 144/16

t² = 9

t = √9

t = 3secs

Hence the time it will take for the object to be 5 feet above the valley floor is 3secs