A large force is acting on a body for a short time. The impulse imparted is equal to the change in

Options

A. acceleration
B. momentum
C. energy
D. velocity

Explanation

To solve the question, we need to understand the concepts of impulse and momentum.

### Step-by-step Solution:

1. **Understanding Impulse**:
- Impulse is defined as the product of the force applied to an object and the time duration for which the force is applied. Mathematically, it is expressed as:
\[ \text{Impulse} = F \cdot \Delta t \]
where \( F \) is the force and \( \Delta t \) is the time duration.

2. **Relating Impulse to Momentum**:
- According to the impulse-momentum theorem, the impulse imparted to an object is equal to the change in momentum of that object. This can be expressed as:
\[ \text{Impulse} = \Delta p \]
where \( \Delta p \) is the change in momentum.

3. **Understanding Change in Momentum**:
- Momentum (\( p \)) is defined as the product of the mass (\( m \)) of an object and its velocity (\( v \)):
\[ p = m \cdot v \]
- The change in momentum (\( \Delta p \)) can be expressed as:
\[ \Delta p = p_{\text{final}} - p_{\text{initial}} = m \cdot v_{\text{final}} - m \cdot v_{\text{initial}} \]

4. **Conclusion**:
- From the above relationships, we conclude that the impulse imparted to a body is equal to the change in momentum of that body. Therefore, the correct answer to the question is:
\[ \text{Impulse imparted is equal to the change in momentum.} \]

### Final Answer:
The impulse imparted is equal to the change in **momentum**.

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