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Horizontal Range
Horizontal range for equal heights is R = v_i² sin 2θ / g.
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Recommended for Class 11
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.
Practice
Practice
Q1. Calculate its horizontal range.