An 85 kg linebacker is running at 8 m/s directly toward the sideline of a football field. he tackles a 75 kg running back moving at 9 m/s straight toward the goal line (perpendicular to the original direction of the linebacker.) as a result of the collision both players momentarily leave the ground. determine their common speed and direction immediately after they collide.

i know the answer is 6.0 m/s and 45 degrees toward the sidelines from the running backs' original path. i don't understand how to do this problem. show all work and how to get this answer.

6m/s

Explanation:

The concept that we need to give solution to this problem is momentum conservation,

We have here different components or in other words, two different direction for the objects. Then,

In this direction is not the man of 75Kg, then we don't considerate his velocity,

Solving for

In Y direction we have a man, who runs to 9m/s and has a mass of 75kg

In this direction is not the man of 85Kg, then we don't considerate his velocity,

Solving for

The speed is like a vector, then the net velocity is

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000