Need help with calculus velocity problem?

Question

A person holds an egg in his hand. If he raised his arm to be 6ft from the ground and dropped the egg, how long would it take the egg to reach the ground??

Answer 1

h=1/2gt^2
6=(1/2)*32*t^2
t^2=12/32
t=rt(12/32)=0.61 sec

Answer 2

0 ft=-16t² ft/s² + 6 ft
16t² ft/s² = 6 ft
t²=3/8 s²
t=√(3/8) s ≈ 0.61237 s