Explanation:

- The car is initially moving at 12 m/s.

- It decelerates at 6 m/s² due to braking.

- It takes 2 seconds to stop after applying brakes.

To find the distance covered after applying the brakes, use the formula:

$$ \text{Distance} = \text{initial speed} \times \text{time} + 0.5 \times \text{deceleration} \times \text{time}^2 $$

$$ \text{Distance} = 12 \, \text{m/s} \times 2 \, \text{s} + 0.5 \times (-6 \, \text{m/s}^2) \times (2 \, \text{s})^2 $$

$$ \text{Distance} = 24 \, \text{m} - 12 \, \text{m} $$

$$ \text{Distance} = 12 \, \text{m} $$

- Option 1: 12 m

- Option 2: 24 m

- Option 3: 36 m

- Option 4: 48 m