Question

Velocity, or speed, is measured using the following formula: v = dt, where v is velocity, d is the distance travelled, and t is the time the object took to travel the distance. If the velocity-time data are plotted on a graph, which variable will be on which axis? Why?

a) Distance on the x-axis, time on the y-axis, to represent motion over time.

b) Time on the x-axis, distance on the y-axis, to show the relationship between time and distance.

c) Velocity on the x-axis, time on the y-axis, to illustrate the change in velocity over time.

d) Time on the x-axis, velocity on the y-axis, to emphasize the relationship between time and velocity.

Answer 1

The velocity-time data should be plotted with time on the x-axis and velocity on the y-axis to illustrate the relationship between time and velocity.

Step-by-step explanation:

The correct answer is option d) Time would be on the x-axis and velocity on the y-axis, because time is an independent variable and velocity is a dependent variable.

When plotting velocity-time data on a graph, the independent variable is usually represented on the x-axis, while the dependent variable is represented on the y-axis. In this case, time is considered the independent variable as it is being measured or controlled, while velocity is the dependent variable as it is influenced by the change in time.

By representing time on the x-axis and velocity on the y-axis, we can clearly visualize the relationship between time and velocity and how velocity changes over time.