How Do You Convert Between Position/Time and Velocity/Time Graphs?

[DjSiddiqi]

So i am in Grade 11. I have the worst teacher in the school, she cannot teach 4 ****. I need to know how to do you convert a Position/ Time graph into a Velocity/ Time graph and how do you convert a velocity/time graph into a position/time graph?

- PLz if someone could help me out with this. I would greatly appreciate it

 

[rock.freak667]

So i am in Grade 11. I have the worst teacher in the school, she cannot teach 4 ****. I need to know how to do you convert a Position/ Time graph into a Velocity/ Time graph and how do you convert a velocity/time graph into a position/time graph?

- PLz if someone could help me out with this. I would greatly appreciate it

maybe your teacher just doesn't know how to relate the material to you.


But anyhow use the definition of velocity to help with conversion.

The gradients in a position (displacement)/time graph gives the velocity in that interval.

The area under the graph in a time interval in the velocity-time graph gives the displacement.

 

[DjSiddiqi]

maybe your teacher just doesn't know how to relate the material to you.But anyhow use the definition of velocity to help with conversion.

The gradients in a position (displacement)/time graph gives the velocity in that interval.

The area under the graph in a time interval in the velocity-time graph gives the displacement.

bro no one in the class understands it.. n can u explain in simpler terms

 

[rock.freak667]

bro no one in the class understands it.. n can u explain in simpler terms

Read this http://www.physicsclassroom.com/Class/1DKin/u1l3a.cfm" . I can't really explain it properly without an example.

 

[slider142]

From the definition of velocity, the graph of the velocity is the graph of the derivative function of the function giving position as a function of time (just like the graph y = 2x is the graph of the derivative function of the function f(x) = x²). You should be familiar with doing this from your first calculus class.
Likewise, position is the integral of velocity over time (otherwise known as the area under the graph of velocity as a function of time from 0 to t). Likewise, creating an approximation of this graph based on the graph of velocity versus time should be familiar from your calculus course.
If you are sketchy on the details, http://people.hofstra.edu/stefan_waner/Realworld/calctopic1/derivgraph.html may jog your memory.