A particle of mass m is projected from the ground with an initial speed u0 at an angle a with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u0. The angle that the composite system makes with the horizontal immediately after the collision is

Engineering

Physics

Projectile Motion

Question

A particle of mass m is projected from the ground with an initial speed u₀ at an angle a with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u₀. The angle that the composite system makes with the horizontal immediately after the collision is

$\frac{π}{4} + α$

$\frac{π}{4} - α$

$\frac{π}{2}$

$\frac{π}{4}$

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$H = \frac{u_{0}^{2} \sin^{2} α}{2 g}$

$v^{2} - u_{0}^{2} = \frac{2 (- g) u_{0}^{2} \sin^{2} α}{2 g}$

$v^{2} - u_{0}^{2} \cos^{2} α$