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Motion In A Plane

Question
CBSEENPH11018576

At what angle of projection the horizontal range is four times the maximum height attained by the projectile?

Solution

Given, horizontal range is four times the maximum height attained by the projectile.
i.e.,              R = 4H 
We know,   straight R over straight H equals 4 space cot space straight theta 
Substituting R = 4H in the above equation,
we get,
                space space space 4 space equals space 4 space cotθ 
 rightwards double arrow         cotθ space equals space 1
i.e.,             straight theta equals 45 degree