I can explain how tables and graphs can show the relationship between kinetic energy and speed.
If we have a table that lists the speed of a car in one column and the corresponding kinetic energy in another column, we can see that as the speed increases, the kinetic energy also increases. This shows the direct proportionality between kinetic energy and speed.
A graph can also be used to show this relationship. If we plot the speed on the x-axis and the kinetic energy on the y-axis, we can draw a line of best fit through the data points. If the line is a straight line that passes through the origin, this indicates a direct proportionality between the two variables. The slope of the line represents the proportionality constant, which is the mass of the object.