In case of a uniform circular motion, velocity and acceleration are

Options

A. perpendicular
B. in same direction
C. in opposite direction
D. not related to each other

Explanation

To solve the question regarding the relationship between velocity and acceleration in uniform circular motion, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Uniform Circular Motion**:
- In uniform circular motion, an object moves in a circular path at a constant speed. Although the speed is constant, the direction of the velocity vector changes continuously.

2. **Velocity in Uniform Circular Motion**:
- The velocity vector is always tangent to the circular path. This means that at any point on the circle, the velocity is directed along the tangent line to the circle at that point.

3. **Acceleration in Uniform Circular Motion**:
- The acceleration in uniform circular motion is known as centripetal (or radial) acceleration. This acceleration is directed towards the center of the circular path, perpendicular to the velocity vector.

4. **Angle Between Velocity and Acceleration**:
- Since the velocity vector is tangent to the circle and the acceleration vector is directed towards the center of the circle, the angle between these two vectors is always 90 degrees (or π/2 radians).

5. **Conclusion**:
- Therefore, in uniform circular motion, the velocity and acceleration are perpendicular to each other. This means that the correct answer to the question is that the angle between velocity and acceleration is 90 degrees.

### Final Answer:
In case of uniform circular motion, the velocity and acceleration are perpendicular to each other, making the angle between them 90 degrees.

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