Question

When an apple is dropped from a tower 256 feet high, the function h(t) = -16t2 + 256 models
the height of the apple, in feet, after t seconds. Determine, algebraically, the number of second
it takes the apple to hit the ground.

Answer 1

The number of second it takes the apple to hit the ground is 4 seconds

To answer the question, we need to know what functions are

What are functions?

Functions are mathematical equations that show the relationship between two variables

Given that when an apple is dropped from a tower 256 feet high, the function h(t) = -16t² + 256 modelshe height of the apple, in feet, after t seconds.

Time it takes the apple to hit the ground

The time it takes the apple hits the ground is when h(t) = 0

So, h(t) = 0

-16t² + 256 = 0

-16t² = -256

t² = -256/-16

t² = 16

t = ±√16

t = ±4

Since t ≥ 0, t = 4 seconds

So, the number of second it takes the apple to hit the ground is 4 seconds

Learn more about functions here:

https://brainly.com/question/25638609

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