Question

Draw the history graph D(x = 0 m, t) at x = 0 m for the wave shown in FIGURE EX16.5.

Short answer

The history graph of the wave is shown.

Step-by-step solution

Write the given information 

The snapshot graph of the wave is given at time t =0 sec
The velocity of the wave is given as v= 1 m/.sec
The wave is traveling from right to left direction

To draw the history graph of the wave at distance x= 0 m

A snapshot graph shows the displacement of the wave with respect to the position at a given time.
A history graph show the displacement of the wave with respect to the time at a given position.

Analyse the snapshot graph

• With every second, wave travels 1-meter to the left
• The wave would travel 4-meters in 4 seconds

The history graph is shown below.