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A particle moves in a straight line with acceleration-time diagram as shown in figure

Construct Velocity time diagram for the motion assuming that the motion starts with initial velocity of 5m/s from the starting point. Also determine its displacement at t=12sec.

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enter image description here

Velocity Diagram:

V6=V0+A(AOB)=5+12×6×1=8m/sV12=V6+A(BCN)=8+12×6×2=14m/s

enter image description here

Displacement diagram:

S6=S0+A(GEIM)+A(EIF)=42+6×8+13×6×6=102m

Displacement at t= 12 sec Is 102 m

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