A 75.5 kg linebacker (X) is running at 6.35 m/s directly toward the sideline of a football field. He tackles a 87.8 kg running back (0) moving at 9.05 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 o relative to the sideline, as shown in the diagrams. Before impact After impact What is the common speed vf of the players immediately after their impact? Uf = m/s What is the angle ø of their motion relative to the sideline? ||

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A 75.5 kg linebacker (X) is running at 6.35 m/s directly toward the sideline of a football field. He tackles a 87.8 kg running back (O) moving at 9.05 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 \( \phi \) relative to the sideline, as shown in the diagrams.

**Diagrams:**

1. **Before impact:**
   - Shows a football field with a grid-like pattern.
   - The linebacker (X) is marked and moving horizontally towards the sideline.
   - The running back (O) is marked and moving vertically towards the goal line.
   - The paths and directions of both players are indicated by arrows.

2. **After impact:**
   - Shows the combined motion of both players moving out-of-bounds.
   - The path is marked at an angle \( \phi \) relative to the sideline.

**Questions:**

1. What is the common speed \( v_f \) of the players immediately after their impact?

   \( v_f = \) _______ m/s

2. What is the angle \( \phi \) of their motion relative to the sideline?

   \( \phi = \) _______°
Transcribed Image Text:A 75.5 kg linebacker (X) is running at 6.35 m/s directly toward the sideline of a football field. He tackles a 87.8 kg running back (O) moving at 9.05 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 \( \phi \) relative to the sideline, as shown in the diagrams. **Diagrams:** 1. **Before impact:** - Shows a football field with a grid-like pattern. - The linebacker (X) is marked and moving horizontally towards the sideline. - The running back (O) is marked and moving vertically towards the goal line. - The paths and directions of both players are indicated by arrows. 2. **After impact:** - Shows the combined motion of both players moving out-of-bounds. - The path is marked at an angle \( \phi \) relative to the sideline. **Questions:** 1. What is the common speed \( v_f \) of the players immediately after their impact? \( v_f = \) _______ m/s 2. What is the angle \( \phi \) of their motion relative to the sideline? \( \phi = \) _______°
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