Final answer:
The car will take 6 seconds to change its speed from 84 m/s to 42 m/s south.
Step-by-step explanation:
To find the time it takes for the car to change its speed from 84 m/s to 42 m/s south, we can use the formula:
time = change in velocity / acceleration
In this case, the change in velocity is 42 m/s - 84 m/s = -42 m/s (since it is in the opposite direction).
Given that the acceleration is -7 m/s², the time can be calculated as:
time = -42 m/s / -7 m/s² = 6 seconds
Therefore, the correct answer is A) 6 seconds.