First of all, just so that you are aware, USUALLY the coefficient of the t2 term is 4.9 (in the metric system), but we won't quibble here!
In order to find the time of impact, set h(t)=0 and solve the quadratic equation for t.
In the quadratic formula remember that the sign of the squared term is presumed to be positive.
I think yur answer should be between 3 and 4 seconds.