A vehicle moving in a straight road has its speed changed from 5 m/s to 8 m/s in 2 sec. What is its average acceleration ?

Options

A. `1 "m/s"^2`
B. `1.5 "m/s"^2`
C. `2 "m/s"^2`
D. `0"m/s"^2`

Answer

To find the average acceleration of the vehicle, we can use the formula for average acceleration, which is defined as the change in velocity divided by the time taken for that change.

### Step-by-step Solution:

1. **Identify the initial and final velocities:**
- Initial velocity (\( v_i \)) = 5 m/s
- Final velocity (\( v_f \)) = 8 m/s

2. **Determine the time interval:**
- Time (\( t \)) = 2 seconds

3. **Calculate the change in velocity:**
- Change in velocity (\( \Delta v \)) = \( v_f - v_i \)
- \( \Delta v = 8 \, \text{m/s} - 5 \, \text{m/s} = 3 \, \text{m/s} \)

4. **Use the formula for average acceleration:**
- Average acceleration (\( a \)) is given by:
\[ a = \frac{\Delta v}{t} \]
- Substituting the values:
\[ a = \frac{3 \, \text{m/s}}{2 \, \text{s}} = 1.5 \, \text{m/s}^2 \]

5. **State the final answer:**
- The average acceleration of the vehicle is \( 1.5 \, \text{m/s}^2 \).