Question

Under what condition(s) are average speed and magnitude of average velocity equal?

Answer 1

If the object travels in stright line,

Answer 2

And under what conditions is velocity constant?

Answer 3

For the second part, velocity is constant when there is no acceleration.

Answer 4

Agree with @Shane_B , velocity is constant if there's no acceleration. It means NO ACCELERATION. Object's speed must be constant and it doesn't change direction.