The number of seconds it takes for the waste to hit the ground for the given function is: 5 seconds.
How to Evaluate a Function?
We are given the function of height to time as, h(t) = -16t² + initial height, and we have the following:
- h(t) = 0 (height of the ground is 0)
- t = seconds the waste takes to height the ground
- Initial height = 400 feet
Plug in the values into the equation of the function
0 = -16t² + 400
Solve for t
0 - 400 = -16t²
-400 = -16t²
-400/-16 = t²
400/16 = t²
√(400/16) = t
20/4 = t
5 = t
t = 5
The number of seconds it takes is: 5 seconds.
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