Determine if a coordinate is on a trajectory path?

Hello,

I have the equations for a projectile motion equation.

I would like to determine if a specific point is within a small range with respect to that curve.

"Will the ball pass near this point? True of false"

How would I implement this?

[Mario Malic]

If you plug x coordinate in the equation of motion, the value you obtain will be equal to y coordinate, if the the point lies on the path.

Answer 1

[John D'Errico]

You COULD use the distance2curve tool I have posted on the file exchange. Since this is certainly for homework, you may or may not be willing to use a file exchange tool. Your choice.

https://www.mathworks.com/matlabcentral/fileexchange/34869-distance2curve

Alternatively, just generate many points along that curve. Then find the CLOSEST point from the set of all points you just generated.