https://file.aiquickdraw.com/mathbot/file/1728822753107lcxph3oz.jpg

The question in the image asks to choose the incorrect statement about velocity and acceleration vectors. Let's break down the options:

- **a.** The tangential acceleration vector is characteristic of the change in the magnitude of the velocity vector.  
- **b.** All the above statements are incorrect.  
- **c.** The normal (or perpendicular) acceleration vector points toward the curvature of the path.  
- **d.** The total acceleration vector characterizes the change in both direction and magnitude of the velocity vector.

### Analysis:
1. **Option a** is correct: Tangential acceleration relates to the rate of change of the velocity's magnitude.
2. **Option c** is correct: Normal acceleration points toward the center of curvature (as in circular motion).
3. **Option d** is correct: The total acceleration involves both the tangential and normal components, thus describing changes in both magnitude and direction.

Thus, **option b** is incorrect because not all the statements are wrong—only the assertion in option b itself is.

Would you like more details or have any questions?

### Related Questions:
1. How does tangential acceleration affect velocity in uniform circular motion?
2. What is the role of normal acceleration in non-circular motion?
3. Can velocity change without acceleration? Explain.
4. How are velocity and acceleration vectors different in straight-line motion vs. circular motion?
5. What is the relationship between centripetal force and normal acceleration?

**Tip:** In non-uniform circular motion, both tangential and normal accelerations work together to affect speed and direction!

Select the incorrect statement regarding the velocity and acceleration vectors.

Explore a problem involving velocity and acceleration vectors in kinematics. Learn about the tangential and normal components of acceleration and how they affect motion. Suitable for students in Grades 10-12.

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