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Q. The variation of velocity of a particle moving along a straight line is shown in figure. The distance traversed by the particle in 4 second isPhysics Question Image

Motion in a Straight Line

Solution:

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Distance travelled in $4 s =$ Area under the curve
$=$ area of $\Delta A O H+$ area of rectangle $A B G H+$ area of $\Delta B C C'$
$+$ area of rectangle $C' D E G$
$=\frac{20 \times 1}{2}+20 \times 1+\frac{10 \times 1}{2}+10 \times 2=55 \,m$