Question

For a projectile moving along a parabolic path, the maximum height attained may be:

Answer 1

The maximum height for a body launched at an angle to the horizontal, is:

$$h_{max} = \dfrac{v^2\sin^2\theta}{2g}$$

where $v$ is the initial speed of the body, $\theta$ is launching angle and $g = 9.81m/s^2$ is the gravitational acceleration.

See https://courses.lumenlearning.com/boundless-physics/chapter/projectile-motion/ for more details.

Answer. $h_{max} = \dfrac{v^2\sin^2\theta}{2g}$.