Question

which best defines the relationship between speed and velocity?
○ speed is velocity with displacement.
○ velocity is speed with displacement.
○ speed is based on a specific direction.
○ velocity is based on distance

Explanation:

Speed is a scalar quantity that only depends on distance traveled over time, with no direction component. Velocity is a vector quantity, which means it includes both the speed of an object and the direction of its motion (direction is tied to displacement, not distance). Let's analyze each option:

1. "Speed is velocity with displacement" is incorrect, as speed has no displacement/direction component.
2. "Velocity is speed with displacement" is correct, because velocity adds a directional (displacement-based) component to speed.
3. "Speed is based on a specific direction" is incorrect, as speed has no direction.
4. "Velocity is based on distance" is incorrect, as velocity uses displacement (directional distance), not just distance.

Answer:

Velocity is speed with displacement