Answer
$a). 0.64s, $
$b). 0.64m.$
Work Step by Step
a). Initial vertical component u=0. Thus:
$S=ut+\frac{1}{2}at^{2}$
$2=0+0.5\times9.8t^{2}$
$t=0.64s$
b). Horizontal speed = 1 m/s.
So distance traversed in 0.64s =$ 0.64\times 1=0.64m$