Question

A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path

of the cannon ball is parabolic and can be represented by y = -0.05x^2 + 5x + 1, where y represents
the height of the ball in meters and x represents the horizontal distance of the ball from the cannon
The incline of the hill can be represented by the equation y = 0.725x. How far will the cannon ball have
moved horizontal from the cannon when it hits the hill?

Answer 1

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Explanation: