Question
Show that the ratio of the horizontal range to the maximum height attained by projectile is equal to 4 cot 
and is independent of speed of projection.
Solution
The horizontal range attained by projectile projected with velocity u at angle θ is,
Maximum height attained by projectile projected with velocity u at angle θ is,
The ratio of horizontal range to maximum height is given by,
Hence, the result proved.
Maximum height attained by projectile projected with velocity u at angle θ is,
The ratio of horizontal range to maximum height is given by,
Hence, the result proved.
