**MT4: Vector Analysis Exercise**- **Problem Statement**: - Vector \(\vec{A}\) has a magnitude of 2.5 m/s at a direction of 18°. - Vector \(\vec{B}\) has a magnitude of 4.5 m/s at a direction of 240°.- **Tasks**: 1. **Graphical Representation**: - Sketch the two vectors roughly to scale. - Find their sum \(\vec{C} = \vec{A} + \vec{B}\) using a graphical method. 2. **Component Analysis**: - Determine the components of \(\vec{A}\) and \(\vec{B}\), including any necessary negative signs. 3. **Magnitude and Direction Calculation**: - Find the magnitude and direction of \(\vec{C}\) using the algebraic/components method.**Instructions**:- Ensure sketches are clear and vectors are drawn accurately with proper angles and lengths.- Use trigonometric functions to calculate vector components.- Apply appropriate mathematical formulas to determine the resultant vector's magnitude and direction.- Review vector addition and resolution techniques in kinematic contexts.---This exercise will enhance your understanding of vector operations and their applications in physics.

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MT4: Vector A has a magnitude of 2.5 m/s at a direction of 18° and vector B has a magnitude of 4.5 m/s at a direction of 240°. • Sketch the two vectors roughly to scale, and find their sum C = A + B using a graphical method. • Find the components of A and B, including any necessary negative signs Find the magnitude and direction of using the algebraic/components method

MT4: Vector A has a magnitude of 2.5 m/s at a direction of 18° and vector B has a magnitude of 4.5 m/s at a direction of 240°. • Sketch the two vectors roughly to scale, and find their sum C = A + B using a graphical method. • Find the components of A and B, including any necessary negative signs Find the magnitude and direction of using the algebraic/components method

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

**MT4: Vector Analysis Exercise**

- **Problem Statement**:
- Vector \(\vec{A}\) has a magnitude of 2.5 m/s at a direction of 18°.
- Vector \(\vec{B}\) has a magnitude of 4.5 m/s at a direction of 240°.

- **Tasks**:
1. **Graphical Representation**:
- Sketch the two vectors roughly to scale.
- Find their sum \(\vec{C} = \vec{A} + \vec{B}\) using a graphical method.

2. **Component Analysis**:
- Determine the components of \(\vec{A}\) and \(\vec{B}\), including any necessary negative signs.

3. **Magnitude and Direction Calculation**:
- Find the magnitude and direction of \(\vec{C}\) using the algebraic/components method.

**Instructions**:

- Ensure sketches are clear and vectors are drawn accurately with proper angles and lengths.
- Use trigonometric functions to calculate vector components.
- Apply appropriate mathematical formulas to determine the resultant vector's magnitude and direction.
- Review vector addition and resolution techniques in kinematic contexts.

---
This exercise will enhance your understanding of vector operations and their applications in physics.

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