Give an example of two cars that have the same speed but different velocities.

Question

anonymous · Answer

Is it like 10m/s and -10m/s

across · Answer

A car going in a straight line at 70 mph and a car running in circles at 70 mph.

anonymous · Answer

Okay so what would be the velocity of the one going in circles?

across · Answer

Let's make it simpler:

A car going north at 70 mph and a car going south at 70 mph.

anonymous · Answer

Okay, I get it but I'm still curious what the velocity for the circle one would be? If you know

across · Answer

You can parametrize its position like this:$$r(t)=70\cos t+70\sin t,$$and thus its velocity will be:$$v(t)=-70sin t+70\cos t.$$

anonymous · Answer

Okkkkk ty

across · Answer

I forgot to multiply the terms by the unit vectors $\hat i$ and $\hat j$, but you get the idea.