Chapter 2: Problem 40

Name the different types of graphs used to represent motion of a body?

Short Answer

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In summary, there are three main types of graphs used to represent the motion of a body: Displacement-Time Graph (d-t graph), Velocity-Time Graph (v-t graph), and Acceleration-Time Graph (a-t graph). The key features of these graphs include the slope and area under the curve, which provide information about velocity, acceleration, and displacement of the object over time. Understanding these graphs helps us better analyze and interpret the motion of objects.

Step by step solution

1. Displacement-Time Graph (d-t graph)

This graph shows the change in position (displacement) of an object with respect to time. On the x-axis, we have time (t), while displacement (d) is represented on the y-axis. The slope of the displacement-time graph represents the velocity of the object. A constant slope indicates constant velocity, while a changing slope represents acceleration (either positive or negative).

2. Velocity-Time Graph (v-t graph)

This graph shows how the velocity of an object changes with respect to time. Time (t) is on the x-axis, while velocity (v) is on the y-axis. The slope of the velocity-time graph represents the acceleration of the object. A horizontal line indicates a constant velocity (zero acceleration), while a sloping line (positive or negative) indicates that the object is accelerating or decelerating. The area under the curve of this graph represents the displacement of the object.

3. Acceleration-Time Graph (a-t graph)

This graph shows how the acceleration of an object changes with respect to time. Time (t) is on the x-axis and acceleration (a) is on the y-axis. For this graph, the slope is not of particular importance. However, the area under the curve of the acceleration-time graph represents the change in velocity over a given time period. A constant acceleration is represented by a horizontal line, while a changing acceleration is represented by a non-horizontal line.

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Name the different types of graphs used to represent motion of a body?

Short Answer

Step by step solution

1. Displacement-Time Graph (d-t graph)

2. Velocity-Time Graph (v-t graph)

3. Acceleration-Time Graph (a-t graph)

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