Drawing velocity time graphs from distance-time graphs

In summary, to draw a VT graph from a DT graph, you can obtain the velocity by dividing the change in position by the change in time. As for converting units, the key is to multiply by a special "1" that has the desired units in the numerator and the existing units in the denominator. This will allow you to cancel out units and convert the given value.
  • #1
Alain12345
37
0
Can someone please tell me how to draw a VT graph from this DT graph? Thanks.

Edit: Sorry, one more question. This is about unit conversions though. How do I convert 175 kg x m/h2 to g x cm/s2?
 

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  • #2
Not being able to see your graph, I can tell you this. Obtain the velocity (velocities?) from your first graph through [itex]v=\frac{\Delta s}{\Delta t}[/itex]. Can you go from here?
 
  • #3
The trick in units conversions is to keep multiplying by one at each step. Just make your "1" special by putting the target units in the numerator and the existing units in the denominator, and cancel units that show up in both the numerator and denominator of the product. Like if you want to convert 175kg to g,

175kg * (1000g/1kg) = etc.

Or if you want to convert hours^2 to seconds^2,

1hour^2 * (3600seconds/hour)^2 = etc.

Does that make sense?
 

What is a velocity-time graph?

A velocity-time graph is a visual representation of the relationship between an object's velocity and time. It shows how an object's velocity changes over time.

How do you create a velocity-time graph from a distance-time graph?

To create a velocity-time graph from a distance-time graph, you need to plot the velocity on the y-axis and time on the x-axis. The velocity can be calculated by finding the slope of the distance-time graph at each point.

What is the significance of the slope on a velocity-time graph?

The slope on a velocity-time graph represents the acceleration of an object. A steeper slope indicates a greater change in velocity over time, which means the object is accelerating.

What does a horizontal line on a velocity-time graph indicate?

A horizontal line on a velocity-time graph indicates that the object is moving at a constant velocity. This means there is no change in velocity over time, and the object is not accelerating or decelerating.

How can you use a velocity-time graph to determine the distance traveled by an object?

To determine the distance traveled by an object, you can calculate the area under the velocity-time graph. This can be done by dividing the graph into smaller shapes, such as rectangles or triangles, and finding the area of each shape. Then, add all the areas together to get the total distance traveled.

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