Advanced Knowledge of Distance/Displacement - Time Graph

Physics

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Distance in nth second(distance-time graph)

Distance traveled in nth second can be found using distance time-graph. In the given figure, distance after is and after is . Hence, distance traveled in sec is .

definition

Average velocity from a displacement-time graph

Average velocity equals the ratio of net displacement and the time taken. 
Example:
In the given plot, for ,
Displacement  
Hence, average velocity is given by

definition

Calculation of net force from given velocity time graph

A block of mass 12 kg  is hanging with a light string in a lift as shown in the figure (a). The lift is moving in upward direction and its speed time graph is plotted as shown in the figure (b) : (take ):
In the time interval to , the acceleration
  Hence
 
In the time interval to , the acceleration
    Hence
In the time interval to , the acceleration
    Hence
               

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