Problem

Two particles projected from the same point with same speed

u

at angles of projection

\alpha

and

\beta

strike the horizontal ground at the same point. If

h_1

and

h_2

are the maximum heights attained by the projectile,

R

is the range for both and

t_1

and

t_2

are their times of flights, respectively, then a.

\alpha + \beta = \frac{\pi}{2}

R = 4\sqrt{h_1 h_2}

\frac{t_1}{t_2} = \tan \alpha

\tan \alpha = \sqrt{\frac{h_1}{h_2}}