Which statement best defines velocity?

Which statement best defines velocity?

• A. rate of change of distance with respect to time in a given direction
• B. Speed with direction
• C. rate of change of velocity with respect to time
• D. distance traveled per unit time

Answer: (A)

Velocity tells you how fast something is moving and in what direction its position is changing. It’s the rate at which your displacement changes over time, so you’re looking at a directional, time-based change rather than just how far you’ve gone. The statement that velocity is the rate of change of distance with respect to time in a given direction ties into this idea because distance with a direction corresponds to displacement, and changing that displacement over time is exactly what velocity measures. This distinguishes velocity from speed (distance traveled per unit time, regardless of direction) and from acceleration (the rate of change of velocity).

Velocity tells you how fast something is moving and in what direction its position is changing. It’s the rate at which your displacement changes over time, so you’re looking at a directional, time-based change rather than just how far you’ve gone. The statement that velocity is the rate of change of distance with respect to time in a given direction ties into this idea because distance with a direction corresponds to displacement, and changing that displacement over time is exactly what velocity measures. This distinguishes velocity from speed (distance traveled per unit time, regardless of direction) and from acceleration (the rate of change of velocity).