Horizontal Range

26. Horizontal Range

Range is: R = vx T Substituting: vx = vi cos θ and: T = 2 vi sin θg Therefore: R = vi cos θ (2 vi sin θg) R = 2 vi² sin θ cos θg Using: 2 sin θ cos θ = sin 2θ Therefore: R = vi² sin 2θ / g This equation also requires equal projection and landing heights.