Derive equations of motion forconstant accelerated motionfrom the grap – InterviewSolution

1.	Derive equations of motion forconstant accelerated motionfrom the graph .
Answer» Graphical method : Consider an object moving along a straight line with uniform ACCELERATION a let u be the initial velocity of the object at time t=0 and v be the final velocity of the object at time t . let s be the distance travelled by the object in time t. velocity -time graph of this motion is a straight line PQ as shown in the FIGURE where OP=u=RS OW=SQ=v and OS=PR=t (I) for the FIRST EQUATION of motion : we know that the slope of velocity -time graph of uniformly accelerated motion represents the acceleration of the object i.e. acceleration = slope of the velocity -time graph PQ

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