A high diving competition has a diver jump from a 66-foot platform with an initial velocity of 6 feet per second. a) Assume there is no air resistance. Find the position function for the diver.
b) Find the diver's velocity.
c) How high does the diver jump before starting her descent?
d) What is the diver's acceleration at 3 seconds?
e) When our diver hits the water, her velocity changes to V0(t)+7t^2, where v0(t) is the velocity you found in (b). Assuming she is diving straight down, how deep must the pool be in order for her to avoid touching the bottom?