1. A slow-motion camera is used to record the motion of a cricket ball projected vertically upwards from the ground. The height of the ball, $h$ metres, $t$ seconds after projection is modelled by the equation

$h=11t-4.9{t}^{2}t>0$

The camera only records the motion when the ball is at least 3 m above the ground.

According to the model, find the maximum height reached by the ball and how long it takes to reach this point.