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  4. A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position (in metre) of the particle at time t = 5s? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/d4461958a98c93249666bbb0ea1f441f-.png />

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Q. A particle starts from the origin at time $t = 0$ and moves along the positive $x$-axis. The graph of velocity with respect to time is shown in figure. What is the position (in metre) of the particle at time $t = 5s$?
image

Motion in a Straight Line

Solution:

Position of the particle,
$S =$ area under graph (time $t = 0$ to $5s)$
$= \frac{1}{2} \times 2\times 2+2\times 2 + 3\times 1 = 9m$