The equation you need is
s(t) = s(0) + v0t - (1/2)gt2 where g is the acceleration due to gravity.
v(t)=s'(t)
The maximum height occurs when v(t)=0
Paul M.
tutor
The first equation is the "standard" equation of motion of bodies near the surface of the earth. s(t) is the distance traveled at is positive for distance away from the earth in this case, v is velocity with v0 the initial velocity. g is a physical constant called the acceleration due to gravity and the minus sign indicates motion toward the earth. I hope that helps lessen your confusion.
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07/08/22
John R.
I'm quite confused about that first equation07/07/22