If an object is moving along a straight path (say x - axis), then position (x), velocity (v) and acceleration (a) of the object are considered as time-dependent quantities. To get a vivid picture of motion of the object, x - t, v - t, a - t graphs can be plotted. Graph which represents the variation of position with respect to time is known as position-time graph. One can find average velocity and instantaneous velocity from a position -time graph. One such position-time graph for an object is shown below
(a) What is the average velocity of the object during t = 3 s to t = 6 s?
(b) What is the instantaneous velocity of the object at t = 2.43 secs
(c) Calculate the net displacement of the object between time interval t = 0 to t = 6 s

solution
(a)What is the average velocity of the object during t = 3 s to t = 6 s?
ans:
average velocity= net displacement/ time=30-106-3=20/3=6.67 m/s
(b) What is the instantaneous velocity of the object at t = 2.43 secs
ans:
instantaneous velocity= velocity at that specific time=10-73-2=3 m/swhere, at t=3sec, position=10mat t=2sec, position =7 m
(c) Calculate the net displacement of the object between time interval t = 0 to t = 6 s
ans:
Net displacement =shortest distance in between initial and final point= 30-0=30 m

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