Sports Application Question - Math Help

Hello this is one of my last questions from this topic, this question involves creating a question in the area of sports and this is what I came up with/and with some research as well.
The height of a soccer ball that is kicked from the ground can be approximated by the function y = 20x^2 + 122x, where y is the height of the soccer ball in feet x seconds after it is kicked.
a) How long will the ball be in the air?
b) What is the soccer’s ball maximum height?
c) What is the domain and range?
Just wanted to know if my equation seems accurate/makes sense, and if it is solvable.
Wasn't sure about b) I was thinking of coming up with something else since I thought it was a little too simple, any thoughts/suggestions? Thanks.