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  4. The speed-time graph of a particle is as shown in figure. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/2e7a67be72e1dcfdc515d2e9b66ec452-.jpeg /> Find the distance travelled by the particle in 3 s.

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Q. The speed-time graph of a particle is as shown in figure.
image
Find the distance travelled by the particle in $3 \,s$.

UP CPMTUP CPMT 2014

Solution:

Distance travelled by particle
$= \frac{1}{2} \times\left(2-1\right)\times \left(3-2\right)\times 2$
$= \frac{1}{2} \times 1\times 2+1\times 2 = 1+2 = 3 \,m$