Question

A circular test track for cars has a circumference of 2.1 km . A car travels around the track from the southernmost point to the northernmost point
what distance does the car travel?

Answer 1

2.1 / 2 = ______ km

Answer 2

I got it it was 2.1 x .5 then i calculated it now I am trying to figure out What the car's displacement is from its original position?

how would I figure that out do I divide from the 2.1 and the 1.05?

Answer 3

So to find displacement from the southernmost part to the northernmost part of the track you divide the circumference by 2 so 2.1/2 which gives 1.05 as shown above. Now to find the total displacement from origin you have to do some arithmetic. circle's circumference is (2piR = 2.1) from this you find r and since you started from the south part and went till north you multiple the radius by two (to get diameter). This would make sense if you draw out a car track (circle) and follow along with it with the question. Also, a shortcut would be to just have your circumference divided by pi and set that = d(since that is what we are trying to find in this specific question) 2.1/pi = .67 km. So .67km is the answer to this question. Hope all that extra explanaiton helps others with different values.