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Solved: (a) Explain how you can use the graph of position

Chapter 2, Problem 26

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QUESTION:

(a) Explain how you can use the graph of position versus time in Figure 2.54 to describe the change in velocity over time. Identify (b) the time (\(t_{a}\), \(t_{b}\), \(t_{c}\), \(t_{d}\), or \(t_{e}\)) at which the instantaneous velocity is greatest, (c) the time at which it is zero, and (d) the time at which it is negative.

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QUESTION:

(a) Explain how you can use the graph of position versus time in Figure 2.54 to describe the change in velocity over time. Identify (b) the time (\(t_{a}\), \(t_{b}\), \(t_{c}\), \(t_{d}\), or \(t_{e}\)) at which the instantaneous velocity is greatest, (c) the time at which it is zero, and (d) the time at which it is negative.

ANSWER:

Step 1 of 3

a) The graph indicates the plot of position versus time.

The slope of the curve will give the velocity.

It can be checked that the graph is not a straight line with some angle. So, the velocity is not changing.

If the graph would have been like a slanted straight line, it denotes uniform velocity.

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