Worked example: Find velocity from displacement time graph

Relationship between displacement-time and velocity-time graphs

Displacement and distance from velocity Consider the graph shown in the figure, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of three regions bounded by the velocity curve and the t -axis are also given. (FIGURE CAN'T COPY) a. On what intervals is the object moving in the positive direction? b. What is the displacement of the object over the interval [0,3]? c. What is the total distance traveled by the ob