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  4. The velocity v versus time t graph of a body in a straight line is as shown in figure. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/79940fdca9324b9f136a0b6fbfd83afd-.png /> The displacement of the body in five seconds is

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Q. The velocity $v$ versus time $t$ graph of a body in a straight line is as shown in figure.

image

The displacement of the body in five seconds is

Motion in a Straight Line

Solution:

Displacement is the algebraic sum of area under velocity-time graph.
$\therefore $ Displacement in $5 s$
$=\frac{1}{2} \times 2 \times 2+\frac{1}{2} \times 1 \times 2-\frac{1}{2} \times 2 \times 1+1 \times 1=3 m$