Answer
The maximum height is 6.1 meters
Work Step by Step
Let $h_2$ be the maximum height. We can use conservation of energy to find the maximum height:
$mgh_2 = mgh_1 + \frac{1}{2}mv^2$
$h_2 = h_1 + \frac{v^2}{2g}$
$h_2 = 1.0~m + \frac{(10~m/s)^2}{(2)(9.80~m/s^2)}$
$h_2 = 6.1~m$
The maximum height is 6.1 meters.
