Final answer:
When drawing the displacement over time for a soccer ball kicked back and forth, the graph would show linear segments indicating uniform motion away and toward the goalie. Without time data, slopes are unknown but would mirror each other. This graph would look similar to a hockey puck's graph, assuming uniform motion and no external forces.
Step-by-step explanation:
The question pertains to kinematics, a branch of physics, and specifically discusses the motion of a soccer ball being kicked back and forth between a player and a goalkeeper. In the scenario provided, a defensive player kicks the ball to the goalie, who then sends it back without any time measure. To visualize this, one would draw a displacement-time graph.
If we draw a displacement graph, it would start at a certain positive displacement value where the player is located and decrease linearly to zero as the ball reaches the goalie, indicating the ball is coming back toward her. When the goalie kicks the ball back, the displacement would increase from zero again. However, without the exact times, the slopes of these graph sections cannot be precisely determined but would mirror each other regardless.
Comparing this to the previous question about a hockey puck, assuming similar conditions of motion (i.e., no external forces like friction or air resistance are considered), the shape of the graph should look similar: linear with the same slopes for both away and return journeys, as they represent uniform motion in opposite directions.