Question

Projectile Motion:

Two particles are projected simultaneously from \(A\) with the same velocity \(V\) at the angles of elevation \(\alpha\), \(\beta\) on a horizontal plane respectively. If they both pass through \(B\), one after time \(t_1\) and the other after time \(t_2\).

(a) show that \(\alpha+
\beta\=\frac{\pi}{2}\)

(b) Prove that \(4V^2 = g^2 (t_{1}^{2} + t_{2}^{2}\)

Will draw diagram below