Final answer:
Using the constant speed of 24 m/s and the provided information, Rachel would cover 96 meters in the first 4 seconds, and after 6 seconds, she would have covered 144 meters. This means she would be 22 meters away from the safe zone after 6 seconds, which is not an option provided in the question, indicating a possible error in the question.
Step-by-step explanation:
Rachel is a stunt driver. During a gig where she escaped from a building about to explode, she drove at a constant speed of 24 meters per second. If after 4 seconds, she was 70 meters away from the safe zone, we can calculate the distance remaining after 6 seconds.
We can use the formula for distance traveled at constant speed:
Distance = Speed x Time
In the first 4 seconds, she would have covered a distance of:
Distance = 24 m/s x 4 s = 96 meters
Since she was 70 meters away from the safe zone after 4 seconds, the initial distance from the safe zone before she started driving can be calculated as:
Initial Distance = 70 meters + 96 meters = 166 meters
After 6 seconds of driving, the distance she would cover is:
Distance = 24 m/s x 6 s = 144 meters
So, the distance between Rachel and the safe zone after 6 seconds would be:
Initial Distance - Distance covered in 6 seconds = 166 meters - 144 meters = 22 meters
However, since this option isn't available, it seems there might be an error in the options provided. None of the given options (50, 60, 80, or 90 meters) match the calculated distance of 22 meters. Please recheck the options or the details of the problem.