Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

Let's make it simpler:

A car going north at 70 mph and a car going south at 70 mph.

Answer 5

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

Answer 6

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

Answer 7

Okkkkk ty

Answer 8

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