Question

a leaf hangs from a branch 12 feet in the air. it falls to the ground at a rate of 0.25 feet per second. which graph could represent the leafs height in feet as a function of time, in seconds, after leaving the branch

Answer 1

it's D (the last graph)

Explanation:

Because I got it right on EDG. and I did the math.

Answer 2

For this case we have an equation of the form:

`h (t) = (1/2) * (a) * (t ^ 2) + v0 * t + h0`
Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:

`h (t) = (1/2) * (- 32) * (t ^ 2) + 0.25 * t + 12`
Rewriting we have:

`h (t) = -16t ^ 2 + 0.25 * t + 12`
Note: see attached image
Answer:

`h (t) = -16t ^ 2 + 0.25 * t + 12`