Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I have this problem that I can't seem to figure out. I'm taking physics in French but I will try my best to translate it.

At an instant, two cars, A and B, are 10km away from an intersection of two perpendicular roads. Car A is moving towards the East and has a speed of 30km/h whereas car B is moving towards the North at 50km/h (both of them are heading towards the intersection). Determine (a) the distance at the moment where they are the closest to one another; (b) where A and B are located when the distance is minimal?

I already have the answers but I just can't seem to figure out how to get to it.

(a) = 3.42km

(b) = B is 1.75km N and A is 2.95km W of the intersection

Any idea on how to figure this out? I was thinking to use the pythagorean theorem to find the velocity [ (30^2 + 50^2)^1/2 = 58km/h ] and then use that to find the time or something like that. I guess I don't know how to approach this type of problem. Any help would be appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two cars approaching an intersection

**Physics Forums | Science Articles, Homework Help, Discussion**