Golf ball projectile motion on inclined plane · CAP 2019 #B1

Physics · mechanics

Problem

A golfer is playing golf facing an inclined plane of inclination angle θ as shown in the figure. When he strikes the ball, the ball flies towards the inclined plane. The ball left the ground at an angle φ relative to the inclined plane. What is the value of φ at which the ball can land the farthest distance along the incline? Neglect air resistance and assume the inclined plane is infinitely long. [Figure: Golfer hitting ball toward inclined plane with angles θ and φ marked]

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