In question number 85, what is the relative velocity of a car A with respect to car B, if car is moving eastward and car B is moving toward westward?

Options

A. `15 km h^(-1)`
B. `45 km h^(-1)`
C. `60 km h^(-1)`
D. `105 km h^(-1)`

Explanation

To find the relative velocity of car A with respect to car B, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the velocities of both cars**:
- Let the velocity of car A (moving eastward) be \( V_A = 60 \) km/h.
- Let the velocity of car B (moving westward) be \( V_B = 45 \) km/h.

2. **Understand the direction of motion**:
- Car A is moving in the positive direction (east).
- Car B is moving in the negative direction (west).

3. **Calculate the relative velocity**:
- Since the cars are moving in opposite directions, the relative velocity of car A with respect to car B is given by the formula:
\[ V_{AB} = V_A + V_B \]
- Substitute the values:
\[ V_{AB} = 60 \, \text{km/h} + 45 \, \text{km/h} = 105 \, \text{km/h} \]

4. **Conclusion**:
- The relative velocity of car A with respect to car B is \( 105 \) km/h.

### Final Answer:
The relative velocity of car A with respect to car B is \( 105 \) km/h.

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