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Motion In Straight Line

Question
CBSEENPH11016971

The position time graph of a particle is moving along a straight line is shown here. Find the velocity of particle from graph.
Also find the displacement of particle from t = 4s to t = 10s.


Solution
Consider two points A and B corresponding to time t =4s and t =10s on the graph given below.



From the graph,

Position of particle at t = 4s is 10m

Position of particle at t = 10s is 17.5m.

Therefore, the velocity of parties is given by the slope of the graph. 

Slope = v=BCAC                   =17.5-101.-4                   =1.5m/s

Therefore, sisplacment of particle from t = 4s to t = 10s is given by,

                  S = x10-X4

                     =17.5-10 

                     = 7.5m