To calculate the distance the car slides, we can use the formula:
Distance = (Initial velocity * Time) + (0.5 * Acceleration * Time^2)
Given that the car skids to a stop, the final velocity is 0 m/s and the acceleration can be calculated using the formula:
Acceleration = (Final velocity - Initial velocity) / Time
Let's calculate the acceleration first:
Acceleration = (0 m/s - 14.43 m/s) / 4.5 s = -14.43 m/s / 4.5 s = -3.21 m/s²
Now, we can substitute the values into the distance formula:
Distance = (14.43 m/s * 4.5 s) + (0.5 * -3.21 m/s² * (4.5 s)^2)
Distance = 64.935 m + 0.5 * -3.21 m/s² * 20.25 s²
Distance = 64.935 m - 0.5 * 65.032025 m
Distance = 64.935 m - 32.5160125 m
Distance ≈ 32.419 m
Therefore, the car slides approximately 32.419 meters.