A man standing on a hill top projects a stone horizontally with speed v₀ as shown in figure. Taking the coordinate system as given in the figure, find the coordinates of the point where the stone will hit the hill surface.

Question

G1 Physics · Accepted Answer

The down-slope range is R = 2v₀² sinθ/(g cos²θ). Hence x = R cosθ = 2v₀²tanθ/g and y = -R sinθ = -2v₀²tan²θ/g.