Question

A bird releases waste from a height of 400 feet. if the equation for height as a function of time is h(t)= -16t^2 + initial height, where t is time in seconds and h(t) is height in feet, how many seconds will it take for the waste to hit the ground?

Answer 1

t = 5 seconds

Explanation:

Plugging our height into our height equation to solve for t we get;

0 feet = -16t²+400 feet

-400 feet = -16t²

25 feet = t²

`√(25) = \sqrt{t^(2) }`

5 seconds = t