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Ch. 02 - Describing Motion: Kinematics in One Dimension
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoGiancoli Douglas 5th editionCh. 02 - Describing Motion: Kinematics in One DimensionProblema 30a
Capitolo 2, Problema 30a

Figure 2–42 shows the velocity of a train as a function of time. At what time was its velocity greatest?
Graph showing a train's velocity over time, peaking at 40 m/s around 50 seconds, then decreasing.

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1
Examine the velocity vs. time graph provided in the problem. The velocity is represented on the vertical axis, and time is represented on the horizontal axis.
Identify the point on the graph where the velocity reaches its maximum value. This corresponds to the highest point on the curve of the graph.
Note the time value on the horizontal axis that corresponds to this maximum velocity. This is the time at which the train's velocity was greatest.
Ensure that the graph is properly labeled and that the units of velocity and time are clear. This will help in accurately determining the time value.
If the graph is not clear or the maximum point is ambiguous, consider interpolating or estimating the time value based on the given data points.

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Velocity

Velocity is a vector quantity that refers to the rate at which an object changes its position. It is defined as the displacement of the object divided by the time taken for that displacement. In the context of the question, understanding how velocity varies with time is crucial for determining when the train reached its maximum speed.
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Escape Velocity

Graph Interpretation

Graph interpretation involves analyzing graphical data to extract meaningful information. In this case, the graph of velocity versus time allows us to visually identify the point at which the velocity reaches its peak. Recognizing the shape of the graph and the coordinates of its highest point is essential for answering the question accurately.
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Graphing Position, Velocity, and Acceleration Graphs

Time of Maximum Velocity

The time of maximum velocity refers to the specific moment when an object's speed is at its highest. This can be determined from the graph by locating the maximum point on the velocity curve. Understanding this concept is key to answering the question about when the train's velocity was greatest.
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Velocity-Time Graphs & Acceleration
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