Step 1: Understand the Equation

The equation v=v(t) represents the relationship between velocity (v) and time (t) in a scenario that involves constant acceleration (a). The value x0 represents the initial position of the object at time t=0.

Step 2: Identify Key Variables

To construct the graph, you will need to identify the key variables and their values. In this case, v and t are the variables, while x0 and a are known values.

Step 3: Create a Table of Values

Using the equation and the known values, create a table of values for v and t. This will help you plot points on the graph accurately.

Step 4: Plot the Points and Connect Them

Using the values from the table, plot points on the graph, with t values on the x-axis and corresponding v values on the y-axis. Then, connect the points with a smooth curve to create the graph.

Step 5: Add Labels and Units

To make the graph clear and informative, add labels to the x-axis and y-axis, and include units for the variables (e.g. m/s for v and seconds for t).

Congratulations, you have successfully plotted the graph for the equation v=v(t)! Remember to double-check your work and include a proper legend if necessary!