# Perfectly inelastic collision

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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