Final answer:
The acceleration of the car is -1.74 m/s².
Step-by-step explanation:
To find the acceleration of the car, we can use the equation:
acceleration = (final velocity - initial velocity) / time
Given that the initial velocity is 46.7 m/s, the final velocity is 22.4 m/s, and the time is 13.8 seconds, we can plug these values into the equation:
acceleration = (22.4 m/s - 46.7 m/s) / 13.8 s = -1.74 m/s²
The acceleration of the car is -1.74 m/s².
The negative sign indicates that the car is decelerating or experiencing negative acceleration. Therefore, the acceleration of the car is -1.74 m/s². The explanation provides a step-by-step breakdown of the calculation, making the result clear and understandable.