Editing Projectile motion (section)

=== Relation between horizontal range and maximum height ===
The relation between the range <var>d</var> on the horizontal plane and the maximum height <var>h</var> reached at <math> \frac{t_d}{2} </math> is:
:<math> h = \frac{d\tan\theta}{4} </math>

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<math> h = \frac{v_0^2\sin^2\theta}{2|g|} </math>
:<math> d = \frac{v_0^2\sin2\theta}{|g|} </math>
:<math> \frac{h}{d} = \frac{v_0^2\sin^2\theta}{2|g|} </math> × <math> \frac{g}{v_0^2\sin2\theta} </math>
:<math> \frac{h}{d} = \frac{\sin^2\theta}{4\sin\theta\cos\theta} </math>
<math> h = \frac{d\tan\theta}{4} </math>.

If <math>h = R</math>
:'''<math> \theta = \arctan(4)\approx 76.0^\circ </math>'''
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