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  4. The velocity-time graph of a body is shown in figure. The displacement covered by the body in 8 s is

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Q. The velocity-time graph of a body is shown in figure. The displacement covered by the body in 8 s isPhysics Question Image

Motion in a Straight Line

Solution:

Displacement in 8 s = Algebraic sum of the area under velocity-time graph
$ = 2 × 2 + \frac{1}{2} ×1 ×4 +1 ×2 + \frac{1}{2} ×1 ×6 -\frac{1}{2} × 16−6 ×1 +2 ×4$
$= 4 + 2 + 2 + 3 - 3 - 6 + 8 = 10\, m,$