Chapter 1.4, Problem 41E

The distance between point P(x,y) and the point (0,2) is 13 of the distance of point P from the line y=18. Find an equation in standard form of the ellipse on which point P lies.

Shooting into the Wind Suppose that a projectile is fired into a headwind that pushes it back so as to reduce its horizontal speed by a constant amount . Find parametric equations for the path of the projectile.