During a goal-line stand, a 75-kg fullback moving eastward with a speed of 10m/s collides head-on with a 100-kg lineman moving westward with a speed of 4 m/s. The two players collide and stick together, moving at the same velocity after the collision. Determine the post collision velocity of the two players.

The post-collision velocity of the two players is .

Explanation:

The expression for the conservation of momentum is as follows as;

Here, is the mass of the first object, is the mass of the second object, and  are the initial velocities of the first and second objects and and  are the final velocities of the objects.

It is given in the problem that during a goal-line stand, a 75-kg fullback moving eastward with a speed of 10m/s collides head-on with a 100-kg lineman moving westward with a speed of 4 m/s. The two players collide and stick together, moving at the same velocity after the collision,.

Calculate the post collision velocity of the two players.

Put , , ,, and .

Therefore, the post-collision velocity of the two players is .

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pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y