Final answer:
The acceleration of the car is 8.94 m/s².
Step-by-step explanation:
The acceleration of a car is calculated by dividing the change in velocity by the time taken to achieve that change. In this case, the car goes from 0 mi/hr to 40 mi/hr in 2 seconds. To find the acceleration, we first convert the velocities to m/s. 40 mi/hr is equal to 17.88 m/s and 0 mi/hr is equal to 0 m/s. The change in velocity is 17.88 m/s - 0 m/s = 17.88 m/s. The time taken is 2 seconds. Therefore, the acceleration is 17.88 m/s / 2 s = 8.94 m/s². This acceleration value elucidates the rapidity with which the car's velocity increases per second, aiding in analyzing its dynamic motion characteristics.