Question

An observation deck extends 314 feet out above a valley. The deck sits 264 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 equals negative 16 t squared plus 264. How long will it take for the object to be 8 feet above the valley​ floor?

Answer 1

Answer:

4.12 s

Step-by-step explanation:

The equation given in the question that relates the height (h), and the time (t) is:

h = -16t² + 264

So, for h = 8 ft

8 = -16t² + 264

16t² = 264 + 8

16t² = 272

t² = 17

t = √17

Which can be approximadelly to 4.12 s