Scott D. answered 10/17/19
Physics Teacher with Many Years Experience, Including AP-Physics
s = 64 ft; v0 = 80 ft/s, t = time to 64 ft
64 = -16t2 + 80t rearranged is 16t2 - 80t + 64 = 0
divide by 16 to get t2 - 5t + 4 = 0
factor to get (t - 4) x (t - 1) = 0 so t = 4 or 1 sec (1 sec is unrealistic so the answer is 4 sec for part a
it takes the same number of seconds to return to the ground so the answer to part b is 8 sec