The unit for the rate of change of velocity will be

Options

A. m/s
B. `m/s^(2)`
C. Ns
D. N/s

Answer

To find the unit for the rate of change of velocity, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept**: The rate of change of velocity is known as acceleration. It describes how quickly an object's velocity changes over time.

2. **Define Acceleration**: Mathematically, acceleration (a) is defined as the change in velocity (Δv) divided by the time interval (Δt) during which the change occurs. This can be expressed as:
\[ a = \frac{\Delta v}{\Delta t} \]

3. **Identify Units of Velocity**: The unit of velocity is meters per second (m/s).

4. **Identify Units of Time**: The unit of time is seconds (s).

5. **Calculate the Units of Acceleration**: Since acceleration is the change in velocity over time, we can substitute the units into the formula:
\[ \text{Unit of Acceleration} = \frac{\text{Unit of Velocity}}{\text{Unit of Time}} = \frac{\text{m/s}}{\text{s}} = \text{m/s}^2 \]

6. **Conclusion**: Therefore, the unit for the rate of change of velocity (acceleration) is meters per second squared (m/s²).

### Final Answer:
The unit for the rate of change of velocity is **m/s²**.

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