SI unit of acceleration is

Options

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

Answer

To determine the SI unit of acceleration, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Acceleration**:
Acceleration is defined as the rate of change of velocity with respect to time. Mathematically, it can be expressed as:
\[ a = \frac{\Delta v}{\Delta t} \]
where \( a \) is acceleration, \( \Delta v \) is the change in velocity, and \( \Delta t \) is the change in time.

2. **Identify the SI Units of Velocity and Time**:
- The SI unit of velocity (v) is meters per second (m/s).
- The SI unit of time (t) is seconds (s).

3. **Calculate the SI Unit of Acceleration**:
Since acceleration is the change in velocity per unit time, we can substitute the units into the formula:
\[ \text{SI unit of acceleration} = \frac{\text{SI unit of velocity}}{\text{SI unit of time}} = \frac{\text{m/s}}{\text{s}} \]
This simplifies to:
\[ \text{SI unit of acceleration} = \text{m/s}^2 \]

4. **Conclusion**:
Therefore, the SI unit of acceleration is meters per second squared (m/s²).

### Final Answer:
The SI unit of acceleration is **meters per second squared (m/s²)**.