Question
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.
Therefore, sisplacment of particle from t = 4s to t = 10s is given by,
S = x10-X4
=17.5-10
= 7.5m

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.
Therefore, sisplacment of particle from t = 4s to t = 10s is given by,
S = x10-X4
=17.5-10
= 7.5m