Question

a feather fell 25 feet from a birds nest to the ground at a rate of 8 feet every 3 seconds. select true or false for each statement.
statement | true | false
a. the feather fell at a rate of \\(\frac{3}{8}\\) of a foot every 1 second. | \\(\circ\\) | \\(\circ\\)
b. the feather was 8 feet above the ground after 3 seconds. | \\(\circ\\) | \\(\circ\\)
c. the feather was 1 foot above the ground after 9 seconds. | \\(\circ\\) | \\(\circ\\)
d. the initial height of the feather was 33 feet. | \\(\circ\\) | \\(\circ\\)

Explanation:

Step1: Analyze Statement A

The rate is 8 feet every 3 seconds. To find feet per second, divide 8 by 3: $\frac{8}{3} \approx 2.666$ feet per second. The statement says $\frac{3}{8}$ feet per second, which is incorrect. So A is False.

Step2: Analyze Statement B

After 3 seconds, the feather falls 8 feet. Initial height is 25 feet, so height above ground is $25 - 8 = 17$ feet, not 8. So B is False.

Step3: Analyze Statement C

In 9 seconds, there are $9 \div 3 = 3$ intervals of 3 seconds. So it falls $3 \times 8 = 24$ feet. Height above ground: $25 - 24 = 1$ foot. So C is True.

Step4: Analyze Statement D

The feather fell from the nest (initial height) 25 feet to the ground. So initial height is 25 feet, not 33. So D is False.

Answer:

A. False
B. False
C. True
D. False