$(3$ points$)$ Cubic$\_$golf

Known values:

Problem Statement:

Tip: Be careful about rounding in this problem; the equations are extra sensitive to it$.$

A golf ball is struck at the crest of a hill as shown, directly above the origin. The ground profile has been surveyed and has been determined to fit the equation: $\backslash ($ y$=$A x$^\{3\}+$B x$^\{2\}+$D $\backslash ),$ where x and y are measured in meters from the origin shown. Neglecting air effects, determine the following:

The time required for the ball to land:

The x $-$coordinate where the ball will land:

The y$-$coordinate where the ball will land:

Be sure to include units with your answers.