Mark the correct statement.

Options

A. The magnitude of the velocity fo a particle is equal to it's speed.
B. The magnitude of average velocity in an anterval is equal to it’s average speed in that interval.
C. It is possible to have a situation in which the speed of a particle is always zero but the average speed in not zero.
D. It is possible to have a situation in which the speed of the particle is never zero but the average speed an interval is zero.

Answer

To solve the question of identifying the correct statement regarding velocity and speed, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Understanding Velocity and Speed**:
- Velocity is defined as the displacement of an object divided by the time taken for that displacement. It has both magnitude and direction.
- Speed is defined as the distance traveled divided by the time taken. It only has magnitude and no direction.

2. **Analyzing Option 1**:
- The statement claims that "the magnitude of the velocity of a particle is equal to its speed."
- This is true because the magnitude of velocity (which is a vector) is indeed the same as speed (which is a scalar). Therefore, this option is correct.

3. **Analyzing Option 2**:
- The statement claims that "the magnitude of the average velocity on an interval is equal to its average speed in that interval."
- This is false. Average velocity considers displacement, while average speed considers total distance traveled. They are equal only in specific cases (e.g., straight-line motion without changing direction). Thus, this option is incorrect.

4. **Analyzing Option 3**:
- The statement claims that "it is possible to have a situation in which the speed of a particle is always 0 but average speed is not 0."
- This is logically inconsistent. If the speed is always 0, then the average speed must also be 0. Therefore, this option is incorrect.

5. **Analyzing Option 4**:
- The statement claims that "it is possible to have a situation in which the speed of a particle is not 0 but the average speed in an interval is 0."
- This is also logically inconsistent. If the speed is not 0, then the average speed cannot be 0. Therefore, this option is incorrect.

### Conclusion:
After analyzing all the options, we find that **Option 1** is the correct statement: "The magnitude of the velocity of a particle is equal to its speed."