Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. (18 points) You are standing at the top of a building that is under construction. Someone drops a box of nails off the side of the building, and you count that it takes at least 5 seconds for the box to hit the ground. The time it takes something to fall from a distance d (in meters) can be found from the equation:
A. Using this equation, figure out the range of possible heights the building has.
B. Later in the day, you decide to try a more precise experiment. You stand at a different height on the building and drop the box of nails, but this time you use a stopwatch. You measure that it took exactly 3.4 seconds for the nails to hit the ground. How high were you when you dropped the nails?