A projectile is fired at an angle θ with the horizontal. Find the condition under which it lands perpendicular on an inclined plane of inclination α as shown in figure.

Question

G1 Physics · Accepted Answer

At impact on the incline, the projectile velocity must be perpendicular to the incline, so its component along the incline is zero. Using the time to intersect the incline and resolving velocity along the incline leads to cot(θ - α) = 2tanα. Hence option D.