A ball falls down vertically. Its motion is :

Options

A. periodic
B. linear
C. circular
D. vibratory

Answer

To determine the type of motion exhibited by a ball falling down vertically, we can analyze the characteristics of its movement step by step.

### Step-by-Step Solution:

1. **Understanding the Motion**:
- The ball is falling straight down due to the force of gravity. This indicates that its path is a straight line.

2. **Identifying Motion Types**:
- We need to consider the options given: periodic, linear, circular, and vibratory.

3. **Periodic Motion**:
- Periodic motion is defined as motion that repeats after a certain interval of time. A falling ball does not return to its original position repeatedly; hence, it is not periodic.

4. **Linear Motion**:
- Linear motion refers to motion along a straight path. Since the ball is falling straight down, it is indeed exhibiting linear motion.

5. **Circular Motion**:
- Circular motion involves moving in a circular path. The ball is not moving in a circle; therefore, it is not circular motion.

6. **Vibratory Motion**:
- Vibratory motion involves oscillation around a central point. The ball is not oscillating; it is simply falling straight down, so it is not vibratory motion.

7. **Conclusion**:
- After analyzing all the types of motion, we conclude that the motion of the ball falling down vertically is classified as **linear motion**.

### Final Answer:
The motion of the ball falling down vertically is **linear motion** (Option B).

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