A motorcylcle is moving with a velocity 80km/hr ahead of a car moving with a velocity of 65 km/hr in the same direction. What is the relative velocity of the motorcyle with respect ot the car:-

Explanation

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

### Step-by-Step Solution:

1. **Identify the velocities**:
- Let the velocity of the motorcycle (Vm) be 80 km/hr.
- Let the velocity of the car (Vc) be 65 km/hr.

2. **Determine the direction**:
- Both the motorcycle and the car are moving in the same direction.

3. **Use the formula for relative velocity**:
- The relative velocity of one object with respect to another can be calculated using the formula:
\[ V_{relative} = V_{m} - V_{c} \]
- Here, \(V_{m}\) is the velocity of the motorcycle and \(V_{c}\) is the velocity of the car.

4. **Substitute the values**:
- Substitute the known values into the formula:
\[ V_{relative} = 80 \, \text{km/hr} - 65 \, \text{km/hr} \]

5. **Perform the calculation**:
- Calculate the difference:
\[ V_{relative} = 15 \, \text{km/hr} \]

6. **Conclusion**:
- The relative velocity of the motorcycle with respect to the car is 15 km/hr.

### Final Answer:
The relative velocity of the motorcycle with respect to the car is **15 km/hr**.

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