If an object is dropped, it will fall a distance of about 16 feet during the first second. In each second that follows, the object falls about 32 feet farther than in the previous second.
a. Write a recursive formula for the distance fallen each second under free fall.
b. Find an explicit formula for the distance fallen each second under free fall.
c. How far will the object fall during the 10th second?
d. During which second will the object fall 400 feet?