Question 1028630
H(t) = -5×t^2 +16×t + 1 = 13, where t>=0

         5×t^2 -16×t + 12 =0
    
         t= (16 +/- sqrt (16^2 -4×5×12))/(2×5)

         t= (16+/-4)/10 

         t= 2 (s) or t = 1,2 (s)

So the minimum(first reach) time is 1,2 (s) after the kick.