The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north at vi2 = 16.1 m/s when the eagle swoops down, grabs the pigeon, and flies off. At the instant right before the attack, the eagle is flying toward the pigeon at an angle 0 = 49.5° below the horizontal and a speed of vi,1 = 33.3 m/s. What is the speed of the eagle immediately after it catches its prey? Vi.2 speed: m/s What is the magnitude of the angle, measured from horizontal, at which the eagle is flying immediately after the strike? magnitude of angle:

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Chapter1: Units, Trigonometry. And Vectors
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**Understanding Momentum in Predatory Birds: An Eagle's Pursuit**

Consider the scenario where a particular eagle, with a mass twice that of a hunted pigeon, is in pursuit. The pigeon is flying north at a velocity of \( v_{i,2} = 16.1 \, \text{m/s} \) when the eagle swoops down, captures it, and continues its flight. 

**Eagle's Initial Movement:**

- **Velocity:** \( v_{i,1} = 33.3 \, \text{m/s} \)
- **Angle of Descent:** \( \theta = 49.5^\circ \) below the horizontal.

**Objective:**

1. **Determine the speed of the eagle immediately after it captures its prey.**
   
   - **Speed box:** (to be calculated) m/s

2. **Calculate the magnitude of the angle, measured from the horizontal, at which the eagle is flying immediately after the strike.**

   - **Magnitude of angle box:** (to be calculated) °

**Graphical Illustration:**

The diagram accompanying this scenario depicts:
- An eagle approaching a pigeon at an angle, indicating its path with a vector arrow \( v_{i,1} \).
- The angle \( \theta = 49.5^\circ \) is shown between the horizontal and the eagle’s line of approach.
- The pigeon is moving with velocity \( v_{i,2} \) in a straight path.

This illustration aids in visualizing the relative velocities and angles involved, which are crucial for analyzing the conservation of momentum and solving the problem.
Transcribed Image Text:**Understanding Momentum in Predatory Birds: An Eagle's Pursuit** Consider the scenario where a particular eagle, with a mass twice that of a hunted pigeon, is in pursuit. The pigeon is flying north at a velocity of \( v_{i,2} = 16.1 \, \text{m/s} \) when the eagle swoops down, captures it, and continues its flight. **Eagle's Initial Movement:** - **Velocity:** \( v_{i,1} = 33.3 \, \text{m/s} \) - **Angle of Descent:** \( \theta = 49.5^\circ \) below the horizontal. **Objective:** 1. **Determine the speed of the eagle immediately after it captures its prey.** - **Speed box:** (to be calculated) m/s 2. **Calculate the magnitude of the angle, measured from the horizontal, at which the eagle is flying immediately after the strike.** - **Magnitude of angle box:** (to be calculated) ° **Graphical Illustration:** The diagram accompanying this scenario depicts: - An eagle approaching a pigeon at an angle, indicating its path with a vector arrow \( v_{i,1} \). - The angle \( \theta = 49.5^\circ \) is shown between the horizontal and the eagle’s line of approach. - The pigeon is moving with velocity \( v_{i,2} \) in a straight path. This illustration aids in visualizing the relative velocities and angles involved, which are crucial for analyzing the conservation of momentum and solving the problem.
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