A stone thrown upward from the top of a 90 ft cliff at 134 ft/s eventually falls to the beach below. (For this problem take the acceleration due to gravity to be $g = -32 \ \mathrm{ft/s^2}$; take upwards to be a positive direction.)

(a) How long does the stone take to reach its highest point?
time = (include units)

(b) What is its maximum height?
height = (include units)

(c) How long before the stone hits the beach?
time = (include units)

(d) What is the velocity of the stone on impact?
velocity = (include units)