How to solve this Projectile Motion Problem

A volleyball player was practicing alone, as she served the ball at an angle of 85°, with an initial velocity of 30 𝑚/𝑠, she wondered how long it takes for the ball to reach the maximum height.

Answer 1

[Bjorn Gustavsson]

You write down the equation of motion:

taking into account as many physical effects as necessary (gravity, drag) to get a solution with the precision you require.

Then you judge whether it is simpler to solve the equations analytically or numerically.