Relationship between Position-time graph and Velocity-time graph:
A positive slope of position corresponds to an increase in velocity.
A constant slope of position corresponds to a constant velocity.
A negative slope of position corresponds to a decrease in velocity.
A zero slope of position corresponds to a zero velocity.
Let us sketch the velocity-time graph as per the above rules.
Relationship between Velocity-time graph and Acceleration-time graph:
A positive slope of velocity corresponds to a positive acceleration.
A constant slope of velocity corresponds to a zero acceleration.
A negative slope of velocity corresponds to negative acceleration.
Let us sketch the acceleration-time graph as per the above rules.