A particle starting from rest attains a velocity of `50 ms^(-1)` in 5 s. The acceleration of the particle is

Options

A. `5 m/s^2`
B. `10 m/s^2`
C. `50 m/s^2`
D. `100 m/s^2`

Answer

To find the acceleration of the particle, we can use the formula from the first equation of motion:

\[ V = U + A \cdot T \]

Where:
- \( V \) = final velocity
- \( U \) = initial velocity
- \( A \) = acceleration
- \( T \) = time

### Step-by-Step Solution:

1. **Identify the given values:**
- Initial velocity, \( U = 0 \, \text{m/s} \) (since the particle starts from rest)
- Final velocity, \( V = 50 \, \text{m/s} \)
- Time, \( T = 5 \, \text{s} \)

2. **Substitute the known values into the equation:**
\[ 50 = 0 + A \cdot 5 \]

3. **Simplify the equation:**
\[ 50 = A \cdot 5 \]

4. **Solve for acceleration \( A \):**
\[ A = \frac{50}{5} \]
\[ A = 10 \, \text{m/s}^2 \]

### Final Answer:
The acceleration of the particle is \( 10 \, \text{m/s}^2 \).

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