1. Describe the relationship (e.g. directly proportional, inversely proportional, exponentially proportional, etc.) between the following pair of variables. Makes use of formulas in your explanation: Δx(maximum horizontal range) and Δy(maximum height) (for variable angles at constant v1) 2. Projectile motion formulae: vx = Δx/Δxt, vy2^2 = vy1^2 + 2gΔy, Δy = vy1Δt + 1/2gΔt^2 Component trigonomentric relations: vx= vicosθ, viy = visinθ 3. The problem I'm having is in stating the relationship between Δx and Δy. It's clear that in this projectile motion scenario where the initial speed remains the same while the initial angle of projection varies, the Δy(maximum height) value increases when the angle is raised and the Δx(maximum horizontal range) value decreases proportionately. It would seem that the two are inversely proportionate, but I can't seem to come up with a formula/combination of formulae which would prove this.