# Converting dt graph (and table) to velocity/time using two point

• celtics23

#### celtics23

How can we convert a distance/time graph (that also contains a table of info) into velocity/time, using the two point method?

celtics23 said:
How can we convert a distance/time graph (that also contains a table of info) into velocity/time, using the two point method?

What is the relationship between "velocity" and "distance"?

Zz.

d=vt

celtics23 said:
d=vt

'd' is displacement 've
you'll learn it afterward perhaps i see

i am giving you graph of speed vs time

if d-t graph is straight line at an angle α with x-axis then v-t graph is a line parallel to x axis
if d-t graph is parabolic then v-t graph is straight line at an angle θ with x axis

celtics23 said:
d=vt

Not quite.

You need to know that velocity is the time rate of change of displacement/position. In graph form, it corresponds to the slope at a given point in the displacement-time graph.

You should have enough here to answer the question.

Note that you need to know the physical meaning of all of this. It is not enough to just know/memorize the equation without understanding what it means.

Zz.

## 1. How do you calculate velocity from a distance-time graph?

To calculate velocity from a distance-time graph, you need to determine the slope of the line on the graph. This can be done by selecting two points on the line and using the formula: velocity = change in distance / change in time. The resulting velocity will be in the same units as the distance and time measurements used on the graph.

## 2. What is the difference between average velocity and instantaneous velocity?

Average velocity is the total displacement divided by the total time, while instantaneous velocity is the velocity at a specific moment in time. To find the instantaneous velocity from a distance-time graph, you would need to use the slope of the tangent line at that specific point.

## 3. Can you convert a velocity/time graph to a distance/time graph?

Yes, a velocity/time graph can be converted to a distance/time graph by finding the area under the curve. This can be done by dividing the graph into smaller sections and calculating the area of each section using basic geometry principles. The resulting distance values can then be plotted against the corresponding time values to create a distance/time graph.

## 4. How can you use a distance-time table to calculate velocity?

To calculate velocity from a distance-time table, you can use the same formula as for a distance-time graph: velocity = change in distance / change in time. Instead of using points on a graph, you would use the corresponding distance and time values from the table to determine the velocity at each point.

## 5. What is the significance of the slope of a distance-time graph?

The slope of a distance-time graph represents the velocity of an object. A steeper slope indicates a higher velocity, while a flatter slope represents a lower velocity. A horizontal line on a distance-time graph indicates that the object is not moving, as the distance is not changing over time.