Final answer:
Reference frames, motion, and interactions in sports, such as a soccer field player and a goalie switching places, are governed by physics principles. Observers share a similar reference frame, and sketches of displacement over time for kicked balls should show the changes in position if assuming constant velocity. The ultimatum game involves strategic decision-making analogous to anticipating physical interactions.
Step-by-step explanation:
The subject of a field player and the goalie on the same team deciding to switch positions during live play relates to Physics, and more specifically, to the concept of motion and reference frames in the context of sports. When two observers are standing side-by-side watching a soccer game, they are indeed sharing a similar reference frame because they are both stationary relative to the game and are observing the same event from the same position and conditions.
When drawing a rough sketch of the soccer ball's displacement over time as it is kicked back to the goalie and then sent back to the player, the graph would show a straight line as the displacement increases with time until it reaches the goalie, and then decreases back to zero as the ball is returned to the player. Assuming the ball is moving at a constant velocity, the graph should be similar to the graph depicting the motion of a hockey puck as both represent simple back and forth motions.
Regarding the ultimatum game, Player A and Player B are likely to engage in a negotiation where each player has to decide on a strategy that could maximize their benefit while taking into account how the other might respond. In physics demonstrations, such as having a partner walk forward with a bouncing ball or catching a ball on ice, actions result in changes to the motion of objects, all of which relate to the physical principles governing movement and interactions.