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Solved: Construct the displacement graph for the subway

Chapter 2, Problem 63

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QUESTION:

Construct the displacement graph for the subway shuttle train as shown in Figure \(2.18\) (a). Your graph should show the position of the train, in kilometers, from \(t = 0\) to \(20 s\). You will need to use the information on acceleration and velocity given in the examples for this figure.

Equation Transcription:

Text Transcription:

2.18

t=0

20 s

Questions & Answers

QUESTION:

Construct the displacement graph for the subway shuttle train as shown in Figure \(2.18\) (a). Your graph should show the position of the train, in kilometers, from \(t = 0\) to \(20 s\). You will need to use the information on acceleration and velocity given in the examples for this figure.

Equation Transcription:

Text Transcription:

2.18

t=0

20 s

ANSWER:

Step 1 of 6:

The distance made by the train is known as the displacement of the train. The subway shuttle train which is initially at rest starts accelerating and travels for 20 s. We are going to plot its position vs time graph for the time interval between 0 and 20 s.

The initial speed of the train

The acceleration for first 20 s

The initial displacement  or

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