Question

what is the difference between the velocity and the speed of an object?
velocity is the change in distance over time, while speed is the change in velocity over time.
velocity has no direction associated with it, while speed has a specific direction.
velocity is the change in speed over time, while speed is the change in distance over time.
velocity has a direction associated with it, while speed has no specific direction.

Explanation:

To determine the correct option, we analyze the definitions of velocity and speed:

• Speed is a scalar quantity, meaning it only has magnitude (how fast an object is moving) and no specific direction.
• Velocity is a vector quantity, meaning it has both magnitude and a specific direction (e.g., 5 m/s east).

Now let's analyze each option:

• First option: Incorrect. Speed is distance over time, and acceleration is change in velocity over time.
• Second option: Incorrect. It swaps the direction property; velocity has direction, speed does not.
• Third option: Incorrect. Acceleration is change in velocity over time, and speed is distance over time.
• Fourth option: Correct. Velocity (vector) has direction, speed (scalar) does not.

Answer:

D. Velocity has a direction associated with it, while speed has no specific direction.