Final answer:
The car decelerates from 30 m/s to 0 m/s in 3.4 seconds, resulting in an acceleration of -8.82 m/s². The negative sign indicates it is a deceleration.
Step-by-step explanation:
You are asking about the acceleration of a car when it goes from a speed of 30 m/s to rest in 3.4 seconds. To solve this problem, we can use the formula for acceleration, which is a = (vf - vi) / t where vf is the final velocity, vi is the initial velocity, and t is the time it takes to decelerate.
Since the car comes to a stop, the final velocity (vf) is 0 m/s and the initial velocity (vi) is 30 m/s. The time (t) is 3.4 seconds. Plugging these values into the formula gives us:
a = (0 m/s - 30 m/s) / 3.4 s = -30 m/s / 3.4 s = -8.82 m/s²
The negative sign indicates that this is a deceleration. Thus, while stopping, the car experiences an acceleration of -8.82 m/s².