Final answer:
A graph of kinetic energy (KE) versus velocity can be created by labeling the Y-axis as KE and the X-axis as velocity and plotting the provided points. A point is plotted at the intersection of each KE value on the Y-axis and a corresponding velocity value on the X-axis.
Step-by-step explanation:
To create a graph plotting kinetic energy (KE) against velocity, you would begin by drawing two perpendicular lines to represent the axes. The vertical line (Y-axis) would be labeled as KE with units of energy (such as joules or any other appropriate unit) and the horizontal line (X-axis) would represent velocity, typically in meters per second (m/s). With your axes ready, you can now plot the points.
For the first point with a KE of 6.75 and velocity of 0.75, you would find 6.75 on the Y-axis and 0.75 on the X-axis, and place a point where these values intersect. For the second point, you'd find the KE value of 4.205 on the Y-axis and a velocity of 0.592 on the X-axis and plot the point. Lastly, for the third point with a KE of 0.0813 and a velocity of 0.65, locate these on the respective axes and mark the point. After all points are plotted, you can observe the relationship between KE and velocity.