Final answer:
To calculate the time it takes for a rock to fall 44.1 meters, we use the kinematic equation involving distance and acceleration due to gravity. The calculation yields approximately 3.00 seconds, which does not match any of the given options. Hence, there might be an error in the given options or the question might be incomplete.
Step-by-step explanation:
To determine the time it takes for a rock to fall from a height of 44.1 meters, we can use the kinematic equation that relates distance (s), acceleration due to gravity (g), and time (t):
s = ½ g t²
Where:
- s is the distance the rock falls,
- g is the acceleration due to gravity (approximately 9.80 m/s² on Earth), and
- t is the time it takes for the rock to fall.
Plugging in the values, we have:
44.1 m = ½ (9.80 m/s²) t²
After rearranging the equation to solve for t, we get:
t = √(2 * s / g) = √(2 * 44.1 m / 9.80 m/s²) = √(8.98 s²) ≈ 3.00 s
None of the options provided (A. 4.41 seconds, B. 5.53 seconds, C. 3.82 seconds, D. 6.24 seconds) are correct. The closest to the calculated time of approx. 3.00 seconds would be C. 3.82 seconds, but there is a discrepancy which suggests a potential error in the options or the question might have some missing or incorrect information.