The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north at = 17.9 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 = 35.1° below the horizontal and a speed of v;,1 = 36.3 m/s. What is the speed of the eagle immediately after it catches its prey? 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:

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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The text describes a physics problem involving the motion of an eagle and a pigeon:

**Scenario:**
The mass of a particular eagle is twice that of a hunted pigeon. The pigeon is flying north with a velocity \( v_{i,2} = 17.9 \, \text{m/s} \) 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 \( \theta = 35.1^\circ \) below the horizontal, with a speed \( v_{i,1} = 36.3 \, \text{m/s} \).

**Questions:**
1. What is the speed of the eagle immediately after it catches its prey?
   - Speed: ______ m/s

2. What is the magnitude of the angle, measured from horizontal, at which the eagle is flying immediately after the strike?
   - Magnitude of angle: ______ °

**Diagram:**
The diagram includes:
- An eagle flying at an angle \( \theta = 35.1^\circ \) below the horizontal, with velocity \( v_{i,1} \).
- A pigeon flying north with velocity \( v_{i,2} \).
- Coordinate axes indicating the horizontal and vertical directions.

The diagram visually represents the problem setup, showing the directions and angles of the eagle’s and pigeon’s velocities.
Transcribed Image Text:The text describes a physics problem involving the motion of an eagle and a pigeon: **Scenario:** The mass of a particular eagle is twice that of a hunted pigeon. The pigeon is flying north with a velocity \( v_{i,2} = 17.9 \, \text{m/s} \) 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 \( \theta = 35.1^\circ \) below the horizontal, with a speed \( v_{i,1} = 36.3 \, \text{m/s} \). **Questions:** 1. What is the speed of the eagle immediately after it catches its prey? - Speed: ______ m/s 2. What is the magnitude of the angle, measured from horizontal, at which the eagle is flying immediately after the strike? - Magnitude of angle: ______ ° **Diagram:** The diagram includes: - An eagle flying at an angle \( \theta = 35.1^\circ \) below the horizontal, with velocity \( v_{i,1} \). - A pigeon flying north with velocity \( v_{i,2} \). - Coordinate axes indicating the horizontal and vertical directions. The diagram visually represents the problem setup, showing the directions and angles of the eagle’s and pigeon’s velocities.
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