Find the component and/or resultant vectors.

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**Finding Resultant and Component Vectors**

**Vectors Given:**

1. **First Diagram:**
   - Magnitude of the vector: 85 m/s
   - Horizontal component (\(V_x\)): Unknown
   - Angle (\(\theta\)) from the horizontal: Unknown
   - Vertical component: 62 m/s

2. **Second Diagram:**
   - Vertical component of the vector: 11.1 m/s
   - Horizontal component: 23.7 m/s
   - Vector magnitude (\(V\)): Unknown
   - Angle (\(\theta\)) from the horizontal: Unknown

**Tasks:**
- For the first vector in the diagram:
  1. Calculate (\(V_x\)) 
  2. Determine the angle (\(\theta\))

- For the second vector in the diagram:
  1. Calculate the magnitude (\(V\))
  2. Determine the angle (\(\theta\))
Transcribed Image Text:**Finding Resultant and Component Vectors** **Vectors Given:** 1. **First Diagram:** - Magnitude of the vector: 85 m/s - Horizontal component (\(V_x\)): Unknown - Angle (\(\theta\)) from the horizontal: Unknown - Vertical component: 62 m/s 2. **Second Diagram:** - Vertical component of the vector: 11.1 m/s - Horizontal component: 23.7 m/s - Vector magnitude (\(V\)): Unknown - Angle (\(\theta\)) from the horizontal: Unknown **Tasks:** - For the first vector in the diagram: 1. Calculate (\(V_x\)) 2. Determine the angle (\(\theta\)) - For the second vector in the diagram: 1. Calculate the magnitude (\(V\)) 2. Determine the angle (\(\theta\))
Expert Solution
Step 1

The problem can be done by Pythagoras theorem and trigonometric ratio.

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