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Chapter 16: Q. 4 (page 451)

Draw the history graph D(x = 4.0 m, t) at x = 4.0 m for the wave shown in FIGURE EX16

Short Answer

Expert verified

The history graph is shown

Step by step solution

01

Write the given information

The snapshot graph of the wave is given at time t =2 sec and x= 4.0m
The velocity of the wave is v = 1m/s
The wave is traveling from left to right

02

To draw the history graph of the wave at x=4 m 

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

Analyze the snapshot graph

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

The history graph is shown below.

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