Final answer:
The calculated distance using the known initial velocity of zero and the final velocity of 73.5 m/s is 278.61 meters; however, this does not match the provided options, indicating a possible typo or missing information in the question.
Step-by-step explanation:
To determine how far the pack fell, we can use the equation of motion that relates the final velocity of an object in free fall, the acceleration due to gravity, and the distance fallen. We'll apply this equation since air resistance is negligible:
v2 = u2 + 2as
The final velocity (v) is given as 73.5 m/s, the initial velocity (u) is 0 m/s (as the package is starting from rest), the acceleration (a) due to gravity is 9.81 m/s2, and s is the distance fallen that we want to find. Re-arranging the formula to solve for s gives us:
s = (v2 - u2) / (2a)
Substitute the known values into the equation:
s = (73.52 - 02) / (2 × 9.81)
s = 5467.75 / 19.62
s = 278.61 meters
However, this distance does not match any of the provided options, suggesting that there might be a typo in the original question or that some vital piece of information is missing, such as the initial release velocity.