A 1.50 kg falcon is diving at 22.0 m/s at a downward angle of 35°. It catches a 0.290 kg dove from behind in midair. What is their combined velocity after impact if the dove's initial velocity was 9.00 m/s directed horizontally? Note that v, is a unit vector pointing in the direction in which the falcon is initially flying. (Enter the magnitude in m/s and the direction in degrees below the horizontal.) v= (22.0 m/s)ŷ, i 1, i 35° = (9.00 m/s)î magnitude m/s direction 33.7 • below the horizontal

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem Statement:**

A 1.50 kg falcon is diving at 22.0 m/s at a downward angle of 35°. It catches a 0.290 kg dove from behind in midair. What is their combined velocity after impact if the dove's initial velocity was 9.00 m/s directed horizontally? Note that \( \hat{v}_{1,i} \) is a unit vector pointing in the direction in which the falcon is initially flying. (Enter the magnitude in m/s and the direction in degrees below the horizontal.)

**Diagram Explanation:**

The image presents a scenario where a falcon is diving diagonally downwards towards the dove. The falcon’s velocity vector \( \vec{v}_{1,i} \) is represented with a magnitude of 22.0 m/s at an angle of 35° below the horizontal. The dove’s velocity \( \vec{v}_{2,i} \) is horizontal with a magnitude of 9.00 m/s.

**Input Fields:**

- **Magnitude:** [ ] m/s
- **Direction:** 33.7° below the horizontal (indicated with an incorrect mark).

**Instructions:**

Calculate the combined velocity magnitude and direction after the falcon catches the dove. Consider using vector addition principles and momentum conservation. Make use of trigonometric functions to resolve vectors into components and calculate the resultant vector.
Transcribed Image Text:**Problem Statement:** A 1.50 kg falcon is diving at 22.0 m/s at a downward angle of 35°. It catches a 0.290 kg dove from behind in midair. What is their combined velocity after impact if the dove's initial velocity was 9.00 m/s directed horizontally? Note that \( \hat{v}_{1,i} \) is a unit vector pointing in the direction in which the falcon is initially flying. (Enter the magnitude in m/s and the direction in degrees below the horizontal.) **Diagram Explanation:** The image presents a scenario where a falcon is diving diagonally downwards towards the dove. The falcon’s velocity vector \( \vec{v}_{1,i} \) is represented with a magnitude of 22.0 m/s at an angle of 35° below the horizontal. The dove’s velocity \( \vec{v}_{2,i} \) is horizontal with a magnitude of 9.00 m/s. **Input Fields:** - **Magnitude:** [ ] m/s - **Direction:** 33.7° below the horizontal (indicated with an incorrect mark). **Instructions:** Calculate the combined velocity magnitude and direction after the falcon catches the dove. Consider using vector addition principles and momentum conservation. Make use of trigonometric functions to resolve vectors into components and calculate the resultant vector.
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