Final answer:
If displacement per unit time is tripled, the velocity is tripled because velocity is defined as displacement divided by time, and they have a direct linear relationship.
Step-by-step explanation:
If displacement per unit time is tripled, then the velocity is also tripled by a factor of three.
The reason for this is due to the direct linear relationship between displacement and velocity.
Average velocity is defined as the displacement divided by the travel time.
This is represented mathematically as v = Δx / Δt, where 'v' stands for average velocity, Δx is the displacement, and Δt is the time interval.
If you triple the displacement (Δx) and keep the time interval (Δt) constant, as per the definition, the velocity will increase threefold.
This is also illustrated by the slope of a displacement versus time graph, where the slope represents velocity.
When the slope is steeper, indicating a larger displacement over the same time interval, the velocity increases accordingly.