Final answer:
The displacements calculated in statement 4 are the same, making the claim false. The position vs time graph for a speeding object, as in statement 18, is not linear, also making this claim false. Statements 56 and 58 about wave superposition and amplitude are true.
Step-by-step explanation:
The subject question pertains to spatial understanding in the field of Physics. Looking at the prescribed statements:
- Statement 4 suggests that two paths are taken with the same displacement, but in a different sequence. This is false because displacement is a vector quantity dependent only on the starting and ending points, not on the path taken. Therefore, the displacement for both persons will be the same.
- Statement 18 implies that a position vs time graph for an accelerating object is linear. This is false; an object that is speeding up will have a curved line on the graph, reflecting the change in velocity over time.
- Statement 56 concerns wave superposition. It is true that waves can superimpose regardless of whether their frequencies are different, illustrating the principle of superposition.
- Statement 58 addresses wave interaction. It is true that the amplitude of one wave is affected by another only when they are in alignment, which is when constructive or destructive interference takes place.
While these are select statements from a larger set of physics-related problems, understanding these principles is fundamental for students studying this science at the high school level.