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Assuming that acceleration dut to gravity is 32 ft/sec2 and that air resistance is insignificant, the answer is 2.5 seconds.
To show work, at 8 ft/sec v = at = 32 t
t = 1/4 second jumping up and v = 0 before free fall
s = 1/2 at^2 = 16t^2 = 16x.25 x .25 = 1 foot so diver free falls 81 feet
81 = 1/2 at^2 so t = 2.25 sec
2.25 + .25 = 2.5 sec
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