Final answer:
Waves with different frequencies can indeed superimpose, which makes the statement true. The amplitude of a wave can be affected by another's amplitude even when not perfectly aligned, making that statement false. Two individuals walking the same distance regardless of order have the same displacement, hence that statement is also false.
Step-by-step explanation:
The statement "Waves can superimpose if their frequencies are different" is true. Superposition is the phenomenon where two or more waves can pass through the same point and temporarily combine their amplitudes. The resulting waveform is a superposition of the individual waves, which do not necessarily need to have the same frequency.
The statement "The amplitude of one wave is affected by the amplitude of another wave only when they are precisely aligned" is false. When waves superimpose, their amplitudes combine algebraically at each point they coincide, whether they are exactly aligned (in phase) or not (out of phase). The effect on a point depends on the relative phases of the waves at that point.
Regarding displacement, the statement "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." is false. Displacement is a vector quantity, which means it depends on both magnitude and direction. Because both individuals have walked the same distance in the same directions, regardless of order, their total displacements are equal.