Final answer:
The question involves finding the period of a wave using the formula T = 1/f, where f is the frequency. Additionally, it involves understanding wave functions and plotting them graphically to visualize the properties of simple harmonic motion.
Step-by-step explanation:
The question pertains to the concept of the period in the context of waves and oscillations, specifically within Physics. To determine the period (T) of a wave when the frequency (f) is given, the formula T = 1/f is used. If the frequency is 2s⁻¹, the period is 0.5 seconds. The process involves the relationship between period and frequency and demonstrates an understanding of their inverse relationship.
Mapping notation in the context provided likely refers to the mathematical representation of wave functions, such as simple harmonic motion (SHM). SHM is typically expressed by functions like x(t) = A cos(ωt + ϕ) where A is the amplitude, ω is the angular frequency, and ϕ is the phase shift.
Graphical representation of waves involves plotting position versus time, allowing the visualization of period and frequency and how changes in frequency affect the waveform. The Distance vs. Time graph is crucial in identifying the characteristics of SHM, such as amplitude and period, and in illustrating the behavior of the wave over time.