A golf ball is hit off a tee at the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 17.7t and y = 3.72t - 4.90t², where x and y are in meters and t is in seconds.
a. What is the initial position of the golf ball?
b. At what time does the golf ball reach its maximum height?
c. What is the maximum height reached by the golf ball?
d. At what time does the golf ball hit the ground?