25 point // a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. what is the maximum height, in feet, the ball will attain? round to the nearest hundredth

What grade of math is this. I suck at math so sorry can't help you dude

1st let's calculate the time needed to reach the maximum distance

h(t) = - 1/2 gt² + v₀t + h₀
h(t) = - 1/2 (9.8).t² + 110.t + 2 ; h(t) = -4.9.t² +110.t + 2
The time needed to reach the maximum height is when the derivative
 of h(t) is equal to 0:
h'(t) = 2(-4.9).t + 110 → h'(t) = -9.8.t + 110 = 0 and t = 11.22 seconds
Now to find the maximum height reaches, replace t with 11.2 in the equation
h(t) = -4.9.t² +110.t + 2