Find the angle of projection for which horizontal range is maximum.

Solution

Horizontal range is given by, $straight R equals fraction numerator straight u squared sin 2 straight theta over denominator straight g end fraction$
R is maximum if $sin space 2 straight theta$ is maximum.
i.e. $space space sin space 2 straight theta space equals space 1$
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$rightwards double arrow$ $straight theta equals 45 degree$
Horizontal range is maximum when angle of projection is 45°.