Final answer:
A history graph for wave motion at a specific point depicts the displacement of that point over time as the wave passes. It is typically a sinusoidal function based on the wave's characteristics, such as frequency and amplitude. Position vs. Time and Velocity vs. Time Graphs are fundamental in physics for analyzing motion.
Step-by-step explanation:
The student's question pertains to constructing a history graph for a wave motion based on a snapshot graph. In physics, specifically in the study of waves, a history graph (or a displacement vs. time graph) represents the motion of a particular point in space as time progresses. The snapshot graph provides a single moment's view of the wave, showing the wave's position at a certain time. When constructing a history graph for the wave motion at the origin point, one would need to record the displacement of that point as the wave moves by it over time. This graph typically resembles a sine or cosine function, reflecting the oscillatory nature of wave motion.
If the wave is moving to the left and is currently to the right of the origin, as the wave reaches the origin, the point at the origin will start to move up and down as the wave passes. Assuming a sinusoidal wave, the history graph will depict a sinusoidal motion starting from the moment the wave reaches the origin. Depending on the wavelength, wave speed, and amplitude, this sinusoidal motion will have a specific frequency and peak displacement corresponding to those of the wave described in the snapshot graph.
Position vs. Time Graphs and Velocity vs. Time Graphs are crucial tools in physics to describe and analyze the motion of objects, including waves. They allow us to interpret and predict future states of motion based on graphical representation, and play an essential role in understanding physical phenomena such as waves, motion of objects, and the relationships between velocity, acceleration, and displacement.