At what angle to the horizontal must the nozzle of a machine gun be kept when firing to obtain maximum horizontal range of the bullets?
In a vacuum (where air resistance is ignored), the maximum horizontal range is achieved at an angle of 45º.
From R = \(\frac{u^2sin2\theta}{\text{g}}\)
R\(_{max}\) = \(\frac{u^2sin2(45)}{\text{g}}\) = \(\frac{u^2}{\text{g}}\)
\(\therefore\) \(\theta\) = 45º
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