Pre calculus word problem

Question

The formula S= 16t^2 is used to approximate the distance S, in feet, that an object falls freely from rest in t seconds the height of a building is 1112 feet how long would it take for an object to fall to the top? The object would fall for _ seconds? Simplify the answer type an integer or a decimal rounded to the nearest tenth.)

Answer 1

To fall from the top of the building to the ground means the object falls 1112 feet. So, using the equation s = 16t² and plugging in 1112 in for s gives: 1112 = 16t² . Divide both side by 16 then take the square root to get t = 8.3 seconds