Construct a possible graph for the x velocity versus time, v_x(t)

In summary, the conversation involved constructing motion graphs for a given motion diagram, using a specified coordinate system and a unit of time between consecutive dots. The task included creating graphs for x vs t, y vs t, and x velocity vs time (v_x(t)) and y velocity vs time (v_y(t)). The distinction between the uniform variation of distance on the x-axis and the non-uniform variation on the y-axis was also noted.
  • #1
1man
17
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For the motion diagram given , sketch the shape of the corresponding motion graphs in Parts A to D. Use the indicated coordinate system. One unit of time elapses between consecutive dots in the motion diagram.
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I've already constructed an x vs t and y vs t graph please help me with these because i don't know how to do these.
Construct a possible graph for the x velocity versus time, v_x(t).
Construct a possible graph for the y velocity versus time, v_y(t).
 
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  • #2
Look carefully - distance on x-axis varies uniformly whereas it does not on y-axis. Does this suggest something to you?
 

1. What does the x velocity versus time graph represent?

The x velocity versus time graph represents the change in the x-velocity of an object over a specific period of time. It shows how the velocity of the object changes as time passes.

2. How is the x velocity versus time graph constructed?

The x velocity versus time graph is constructed by plotting the x-velocity of the object on the y-axis and time on the x-axis. The data points are then connected to form a continuous line.

3. What does the slope of the x velocity versus time graph represent?

The slope of the x velocity versus time graph represents the acceleration of the object in the x-direction. A steeper slope indicates a higher acceleration, while a flatter slope indicates a lower acceleration.

4. What type of motion does a straight line on the x velocity versus time graph represent?

A straight line on the x velocity versus time graph represents a constant velocity. This means that the object is moving at a steady speed in the x-direction without changing its velocity.

5. How can the x velocity versus time graph be used to calculate displacement?

The displacement of an object can be calculated by finding the area under the x velocity versus time graph. This can be done by dividing the graph into smaller shapes, such as rectangles or triangles, and then calculating the area of each shape. The sum of these areas will give the displacement of the object.

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