How to convert an x-t graph into a v-t graph?

Dear Student,

Converting a x-t graph to v-t graph comes with multiple rules. 

1) IF THE x-t GRAPH IS PARALLEL TO X AXIS: 

This denotes the velocity of the object is zero (thus it's distance is not changing). 


2) IF THE x-t GRAPH IS A STRAIGHT DIAGONAL LINE: 
 
This denotes that we have a velocity value but it has constant velocity, thus, the corresponding graph will be:

​​​​or 

3) IF THE x-t GRAPH IS CIRCULAR: 

This corresponds to diagonal slope in v-t graph. 
 or 


Regards