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In heavy rush-hour traffic you drive in a straight line at

Chapter 2, Problem 21P

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QUESTION:

In heavy rush-hour traffic you drive in a straight line at 12m/s for 1.5 minutes, then you have to stop for 3.5 minutes, and finally you drive at 15 m/s for another 2.5 minutes, (a) Plot a position-versus-time graph for this motion. Your plot should extend from t = 0 to t = 7.5 minutes, (b) Use your plot from part (a) to calculate the average velocity between t = 0 and t = 7.5 minutes.

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QUESTION:

In heavy rush-hour traffic you drive in a straight line at 12m/s for 1.5 minutes, then you have to stop for 3.5 minutes, and finally you drive at 15 m/s for another 2.5 minutes, (a) Plot a position-versus-time graph for this motion. Your plot should extend from t = 0 to t = 7.5 minutes, (b) Use your plot from part (a) to calculate the average velocity between t = 0 and t = 7.5 minutes.

ANSWER:

Step 1 of 5

Part (a)

We are driving a car in heavy rush-hour traffic in a straight line with a constant speed for a short period of time and stopping the car for a while and later driving at a constant speed. We are going to plot the position vs time graph.

The time \(t_{1}=1.5 \mathrm{~min}=90 \mathrm{~s}\)

The velocity \(\mathrm{v}_{1}=12 \mathrm{~m} / \mathrm{s}\)

The time \(\mathrm{t}_{2}=3.5 \mathrm{~min}=210 \mathrm{~s}\)

The velocity \(\mathrm{v}_{1}=0\)

The time \(\mathrm{t}_{3}=2.5 \mathrm{~min}=150 \mathrm{~s}\)

The velocity \(\mathrm{v}_{3}=15 \mathrm{~m} / \mathrm{s}\)

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