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Physics — Projectile Motion

Range, height and trajectory for projectile launched at an angle.

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x = v_0\cos\theta\,t

y = v_0\sin\theta\,t - \tfrac{1}{2}g t^2

R = \frac{v_0^2 \sin 2\theta}{g}

H = \frac{v_0^2 \sin^2\theta}{2g}