Final answer:
The acceleration of the car is 1.58 m/s² to the east.
Step-by-step explanation:
To calculate the acceleration of the car, we can use the formula:
Acceleration = (Change in Velocity) / (Time)
Given that the initial velocity is 11.2 m/s, the final velocity is 64.0 m/s, and the time is 33.4 seconds, we can substitute these values into the formula:
Acceleration = (64.0 m/s - 11.2 m/s) / 33.4 s = 52.8 m/s² / 33.4 s = 1.58 m/s²
Therefore, the acceleration of the car is 1.58 m/s² to the east.