Derivation Of Maximum Range Of a Projectile Motion| Equation Of Motion | Angle for Maximum Range

Range is horizontal velocity * Time of flight. = u cos a * 2 u sin a /g.
When the angle a varies from 0 to 90 degree, cos a decreases from 1 to 0 and sin a increases from 0 to one.
Two products will be maximum , only when they are equal.
Hence the product (cos a ) *( sin a ) will be maximum only when cos a = sina.

This happens if a = 45 degree.

Hence the answer is 45 degree.

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