A car is traveling a road that makes quarter of a circle with a constant speed. What is the magnitude of the average velocity of the car?

Average velocity = (Displacement)/Time

Let R = radius and v = speed.

Displacement = sqrt2*R, in a direction from the first point to the last.

Time = (pi/2)*R/v

Vav = 2 v sqrt2/pi = 0.900 v
with the direction described above