If an object falls from rest, then the distance it falls during the first second is about 4.9 m. In each subsequent second, the object falls 9.8 m farther than in the preceding second.
a. Write a recursive formula to describe the distance the object falls during each second of free fall.
b. Find an explicit formula for 13a.
c. How far will the object fall during the 10th second?
d. How far does the object fall during the first 10 seconds?
e. Find an explicit formula for the distance an object falls in n seconds.
f. Suppose you drop a quarter from the Royal Gorge Bridge. How long will it take to reach the Arkansas River 331 m below?