Question 1205580
{{{y=-4.9t^2+51t+1.3}}}

{{{y=-4.9(t^2-(51/4.9)t)+1.3}}}

{{{y=-4.9(t^2-10.408t+b^2)-(-4.9b^2)+1.3}}}...............{{{b=10.408/2=5.204}}}

{{{y=-4.9(t^2-10.408t+5.204^2)+4.9*5.204^2+1.3}}}

{{{y=-4.9(t-5.204)^2+132.6999184+1.3}}}

{{{y=-4.9(t-5.204)^2+133.9999184}}}


{{{h=5.204}}}
{{{k=133.9999184}}}
{{{k=134}}} (approximately)

vertex is at: ({{{5.204}}},{{{ 134}}})

the maximum height: {{{134}}}