Which of the following statements about average velocity is NOT correct?

Correct option is B

The correct answer is (b) It is always the same as average speed.

Explanation:

• Average velocity is scientifically defined as the total mathematical displacement of an object divided by the total time taken.
• Displacement directly considers the shortest path between initial and final points, meaning it possesses a specific direction (vector quantity).
• Average speed, conversely, is the total physical distance strictly divided by total time (scalar quantity).
• Because distance and displacement are rarely equal (unless movement is in a perfectly straight line without reversal), average velocity and average speed are normally not the same. Thus, statement B is factually incorrect.

Information Booster:

• If a body returns exactly to its starting point after motion, its net displacement is mathematically zero, resulting in zero average velocity.
• In the same scenario, the average speed will always be entirely positive and non-zero because total distance traversed cannot be zero.
• The mathematical magnitude of average velocity can either equal or be significantly less than average speed, but it can never mathematically exceed it.

Additional Knowledge:
It depends on the direction of motion. (Option a)

• This statement is technically correct. Velocity fundamentally relies on displacement, which intricately depends heavily on direction.

It is the total displacement divided by total time. (Option c)

• This is the perfectly correct definition and standard mathematical formula for establishing average velocity.

It is measured in m/s. (Option d)

• This statement is correct. Both speed and velocity inherently share the same SI unit, which is meters per second (m/s).

So the correct answer is (b)