A 80.1 kg linebacker (X) is running at 6.71 m/s directly toward the sideline of a football field. He tackles a 91.7 kg running back (O) moving at 9.49 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 and go out‑of‑bounds at an angle ϕ relative to the sideline, as shown in the diagrams. What is the common speed ?f of the players immediately after their impact? What is the angle ϕ of their motion relative to the sideline?

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A 80.1 kg linebacker (X) is running at 6.71 m/s directly toward the sideline of a football field. He tackles a 91.7 kg running back (O) moving at 9.49 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 and go out‑of‑bounds at an angle ϕ relative to the sideline, as shown in the diagrams.

What is the common speed ?f of the players immediately after their impact?

What is the angle ϕ of their motion relative to the sideline?

 

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