An object travels halfway around a circle at a constant instantaneous speed $|\vec{v}|$. What is the magnitude $|\vec{\psi}|$ of its average velocity during this time interval?
A) $|\vec{v}|$
B) $1.41|\vec{v}|$
C) $1.57|\vec{v}|$
D) $|\vec{v}| / 1.41$
E) $|\vec{v}| / 1.57$
F) Some other multiple of $|\vec{v}|$ (specify)
G) We do not have enough information to answer.

Question

Quizplus · Accepted Answer

The average velocity is the total displacement divided by the total time. For half a circle, the displacement is the diameter of the circle. The time taken is half the circumference divided by the speed. The magnitude of the average velocity is $|\vec{v}| / 1.57$.

An Object Travels Halfway Around a Circle at a Constant ∣v⃗∣|\vec{v}|∣v∣

An Object Travels Halfway Around a Circle at a Constant $|\vec{v}|$