Calculating displacement on a v-t graph?

• aaquib
In summary, the conversation discusses the calculation of displacement on a velocity-time graph using the formula BxH/2 for a triangle. However, it is mentioned that this formula only works for right triangles and the area of the rectangle underneath the triangle must also be considered. Ultimately, the goal is to find the total area of the graph, not just the area of the triangle.
aaquib

Homework Statement

Im trying to get the displacement of a position on the graph with the following

point 1: (600, -75)
point 2: (720, -140)

Now usually I use BxH/2, because it's a triangle, but I can't really get it for this. The answer shows 21 800. I've tried everything in my power and can not get 21800. Any suggestions?

Thanks
Aaquib

What kind of graph is this? (position vs time, velocity vs time, ect)

hunter151 said:
What kind of graph is this? (position vs time, velocity vs time, ect)

Sorry for not including it, but its a velocity time graph.

find the area of the graph

o..hmm did not see ur whole post

the BxH/2 only works for right triangles

Charlie_russo said:
the BxH/2 only works for right triangles

No, its a general formula for any triangle's area.

For this problem, you have only calculated the area of the triangle and forgetting the area of the rectangle underneath the triangle on the graph.

You have only got the area for this part of the graph:

http://img504.imageshack.us/img504/6357/graphzr3.jpg

Last edited by a moderator:

What is displacement on a v-t graph?

Displacement on a v-t (velocity-time) graph measures the change in position of an object over a specific time interval. It is represented by the slope of the line on the graph, with steeper slopes indicating larger displacements.

How do you calculate displacement from a v-t graph?

To calculate displacement from a v-t graph, you can use the formula: displacement = (final velocity - initial velocity) x time. This is equivalent to finding the area under the curve on the graph, which represents the change in position over time.

What units are used for displacement on a v-t graph?

Displacement is typically measured in units of length, such as meters or kilometers, as it represents a change in position. However, it can also be measured in other units such as miles or feet depending on the context of the problem.

Can displacement be negative on a v-t graph?

Yes, displacement can be negative on a v-t graph. This occurs when the object is moving in the negative direction (opposite to the positive direction on the graph) and its final position is less than its initial position.

How does acceleration affect displacement on a v-t graph?

Acceleration affects displacement on a v-t graph by changing the slope of the line. A positive acceleration will result in a steeper positive slope, indicating a larger displacement over time. A negative acceleration will result in a steeper negative slope, indicating a smaller displacement over time or even a change in direction.

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