Final answer:
The statement regarding the displacement of two individuals walking different paths but starting and ending at the same points is false, both would have the same displacement. A car moving at a constant velocity maintains both speed and direction. Lastly, an object speeding up will not have a straight line on a position vs time graph, but rather a curve with an increasing slope.
Step-by-step explanation:
True or false: A person walks 2 blocks east and 5 blocks north. Another person walks 5 blocks north and then two blocks east. The displacement of the first person will be more than the displacement of the second person. The statement is false. Displacement is a vector quantity representing the straight line distance between the initial and final positions of an object. It does not depend on the path taken, so both people will have the same displacement because they start and end at the same points regardless of the order of their movements.
A car is moving on a straight road at a constant speed in a single direction. The statement that reflects this scenario accurately would be that the car has constant velocity, as it maintains both a constant speed and a constant direction of motion.
True or false: The position vs time graph of an object that is speeding up is a straight line. The statement is false. If an object is speeding up, the position vs time graph will show a curve where the slope (representing velocity) is increasing.