Car b is traveling a distance d ahead of car a. both cars are traveling at 60 ft> s when the driver of b suddenly applies the brakes, causing his car to decelerate at 12 ft> s2. it takes the driver of car a 0.75 s to react (this is the normal reaction time for drivers). when he applies his brakes, he decelerates at 15 ft> s2. determine the minimum distance d be tween the cars so as to avoid a collision.

The minimum distance has to be 15ft

Explanation:

Since car A is behind, I am fixing the origin in that point.

Now, let's calculate the position, for both cars at the end of everything, measured from the origin.

I am using this formula for

For car A:

And we also know that , So:

For car B:

Replacing the values we get:

To avoid a collision, , so:

165 ≤ d + 150    If we solve for d: d ≥ 15ft

your answer is, orbit around the nucleus