Final answer:
The statement regarding the position vs time graph of a speeding object is false; such a graph will show a curve. The statement about the displacement comparison between two walking paths is false; both displacements are the same. Lastly, it is true that a vector can form a right-angle triangle with its components.
Step-by-step explanation:
When considering the question about the characteristics of a position vs time graph, the statement is false. A position vs time graph for an object that is speeding up will not be a straight line. Instead, the graph will be a curve where the slope increases with time, representing the object's increasing velocity.
In response to the displacement question, the answer is also false. Displacement is a vector quantity that depends only on the initial and final positions, not on the path taken. Therefore, both people have the same displacement since they end up at the same point relative to their starting positions.
Regarding the vector components question, the answer is true. A vector can indeed form the shape of a right-angle triangle with its x and y components. The vector represents the hypotenuse while the x and y components represent the two legs of the triangle.