Perfectly inelastic collision

Classical Mechanics Level 2

In the above figure, two objects \(A\) and \(B\) with the same mass \(m\) are \(15\) m away from each other. Now, \(A\) and \(B\) are thrown horizontally at the same time at the velocities \(20\) m/s and \( -10\) m/s, respectively, eventually colliding with each other in the air. If the two objects stick together after a perfectly inelastic collision, what is the speed of the mass at the moment of collision (in m/s)?

Assume that gravitational acceleration is \(g= 10\) m/s\(^{2}\).

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