Question

an acorn falls from the branch of a tree to the ground 25 feet below. the distance, s, that the acorn is from the ground as it falls is represented by the equation \\(s(t) = -16t^2 + 25\\), where t is the number of seconds. for which interval of time is the acorn moving through the air?

\\(0 < t \le \frac{5}{4}\\)

\\(0 < t < \frac{5}{4}\\)

\\(t > \frac{5}{4}\\)

\\(-\frac{5}{4} < t < \frac{5}{4}\\)

Explanation:

Find the time when the acorn hits the ground

$$
LATEXBLOCK0
$$

Determine the interval of motion through the air

$$
LATEXBLOCK1
$$

Answer:

• (A) \(0 < t \le \frac{5}{4}\)
• (B) \(0 < t < \frac{5}{4}\) (Correct answer)
• (C) \(t > \frac{5}{4}\)
• (D) \(-\frac{5}{4} < t < \frac{5}{4}\)