Starting from a stationary position, Sunil moves his car to attain a velocity of `20ms^(-1)` in 10s. Find the acceleration of the car.

Options

A. `2ms^(1)`
B. `2ms^(-2)`
C. `2ms^(-1)`
D. `2ms^(2)`

Answer

To find the acceleration of the car, we can use the formula for acceleration in terms of initial velocity, final velocity, and time. The formula is:

\[ a = \frac{v - u}{t} \]

Where:
- \( a \) is the acceleration,
- \( v \) is the final velocity,
- \( u \) is the initial velocity,
- \( t \) is the time taken.

### Step-by-step Solution:

1. **Identify the initial and final velocities:**
- The initial velocity \( u = 0 \, \text{m/s} \) (since the car starts from a stationary position).
- The final velocity \( v = 20 \, \text{m/s} \).

2. **Identify the time taken:**
- The time \( t = 10 \, \text{s} \).

3. **Substitute the values into the acceleration formula:**
\[ a = \frac{v - u}{t} = \frac{20 \, \text{m/s} - 0 \, \text{m/s}}{10 \, \text{s}} \]

4. **Calculate the acceleration:**
\[ a = \frac{20 \, \text{m/s}}{10 \, \text{s}} = 2 \, \text{m/s}^2 \]

5. **Conclusion:**
- The acceleration of the car is \( 2 \, \text{m/s}^2 \).