Step 1: Identify Given Values
- Initial velocity, \( u = 0 \, \text{m/s} \) (car at rest)
- Final velocity, \( v = 20 \, \text{m/s} \)
- Time, \( t = 10 \, \text{s} \)
- Acceleration, \( a = ? \, \text{m/s}^2 \)
Step 2: Select Kinematic Equation
The first kinematic equation is: \[ v = u + at \] This equation links initial velocity, final velocity, acceleration, and time, fitting the given data.
Step 3: Substitute Values
With \( u = 0 \): \[ v = 0 + at \implies v = at \] Substituting \( v = 20 \, \text{m/s} \) and \( t = 10 \, \text{s} \): \[ 20 = a \times 10 \]
Step 4: Calculate Acceleration
\[ a = \frac{20}{10} = 2 \, \text{m/s}^2 \]