Final answer:
To illustrate different velocities and speeds, different diagrams and graphs can be used. Objects with different velocities moving in the same direction have differently sized arrows pointing the same way, objects at the same speed but different velocities have arrows of equal length but different directions, and identical velocities are depicted with overlapping arrows. Graphs of velocity vs. time can show these differences through the slope and direction of the line.
Step-by-step explanation:
The subject question is about understanding the concepts of speed and velocity and how to represent them graphically for objects moving in different scenarios.
- When two objects are moving in the same direction but with different velocities, this would be represented by two arrows (vectors) on a diagram pointing in the same direction, with one being longer than the other. The longer arrow represents the object with the higher velocity. The speed for each object would be represented by the length of the arrows without accounting for direction.
- Two objects traveling at the same speed but with different velocities would be shown as two arrows of the same length but pointing in different directions, illustrating that they have the same magnitude of speed but are heading in different directions.
- For two objects with identical velocities, we would draw two arrows overlapping each other, pointing in the same direction and of the same length, indicating that both speed and direction are the same for these objects.
To visualize this motion using a graph, position or velocity vs. time could be plotted. The slope of a line on a velocity vs. time graph indicates the speed, and the direction of the line (positive or negative slope) indicates the velocity direction.