Here is a non-Calculus solution . . .An object is thrown from the origin of a coordinate system
with the x-axis along the ground and the y-axis vertical.
Its path, or trajectory, is given by the equation: .
Find the object's maximum height.
The path is a down-opening parabola; its maximum is at its vertex.
The vertex of the parabola, , is at: .
We have: .
. . The vertex is at: .
The maximum height is about: units.