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 leaf’s height in feet as a function of time, in seconds, after leaving the branch?

Answer 1

Answer:

No graphs was presented but its the last one shown in the photo

Answer 2

The leaf's height as a function of time is determined as h(t) = 12 - 0.25t - 4.9t².

Equation for the motion of the leaf

The equation for the motion of the leaf is calculated as follows;

h = vt + ¹/₂gt²

where;

• h is the height of fall
• v is the initial velocity
• t is the time of motion

The leaf's height as a function of time is given as;

h(t) = 12 - 0.25t - 4.9t²

Due to presence of gravity, the decline in the height of the leaf will be gradual.

Learn more about height of fall here: https://brainly.com/question/15611384

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