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  4. The velocity-time graph of a particle in linear motion is shown in figure. Both v and t are in SI units. What is the displacement of the particle from the origin after 8 second?

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Q. The velocity-time graph of a particle in linear motion is shown in figure. Both $v$ and $t$ are in SI units. What is the displacement of the particle from the origin after 8 second?Physics Question Image

Motion in a Straight Line

Solution:

image
Displacement in $8 s =+$ Area $O A B C-$ Area $C D E F$ $=\frac{1}{2}(A B+O C) \times$ altitude $-\frac{1}{2}(C F+D E) \times$ altitude
$=\frac{1}{2}(2+4) \cdot(4)-\frac{1}{2}(4+2) \times 2=12-6=6 \,m$