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Motion In A Plane

Question
CBSEENPH11018521

What is the maximum distance at which we can throw the body with speed u?

Solution
Horizontal range will be maximum when sin 2straight theta is maximum. 
That is, 
   sin 2straight theta = maximum 
rightwards double arrow space space space space space space 2 straight theta space equals space sin space 90 to the power of straight o space equals space 1

or space space space space space space space space 2 straight theta space equals space 90 to the power of straight o space

straight i. straight e. comma space space space space space space straight theta space equals space 45 to the power of straight o 
Therefore, maximum horizontal range is given by, 
straight R subscript straight m space equals space straight u squared over straight g sin space 2 cross times 45 to the power of straight o space
space space space space space equals space straight u squared over straight g