Graph Sketching and Recognition

6. Which moving object is traveling slowest? Depress mouse to see answer. Object D. See Explanation.

7. Which object has the greatest acceleration? See Explanation.

6. Object D is traveling slowest. To be traveling slowest is to have the smallest speed (or smallest magnitude of velocity). This translates into the line on a p-t graph with the smallest slope.

7. Object C has the greatest acceleration. It is the only object with an acceleration. Accelerated motion on a p-t graph is represented by a curved line.

37. A velocity-time graph for an object which first moves with a constant speed in the + direction, and then moves with a negative acceleration is shown below. Since there are two parts of this object's motion, there will be two distinct parts on the graph. Each part is in the + region of the v-t graph (above 0) since the velocity is +. The slope of the first part is zero since constant velocity means zero acceleration and zero acceleration is represented by a horizontal line on a v-t graph (slope = acceleration for v-t graphs). The second part of the graph is an downward sloping line since the object has - acceleration (again, the slope = acceleration for v-t graphs)

Additional resources for physics students are available at The Physics Classroom and the Multimedia Physics Studios.

Special thanks to lab assistant Eric Tagtmeier for assistance in