If I throw a marker to you, what path does it take? Can you catch it? How does your brain calculate when and where the object will be?
Start by drawing a representation of how the marker flies.
Start by introducing two variables.
y = vertical position (height)
x = horizontal position (distance)
y = ax2 + bx + c - this is a non-linear function with a dependent variable and an independent variable
When you throw objects, there is an initial position and an initial velocity.
y = -2x2 + 10x
And plot the results. This is a trajectory of the object.
Looking at the graph, can you estimate when the marker will reach its highest point?
How can you compute that?