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  4. The v-t graph for a particle is as shown. The distance travelled in the first four seconds is :

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Q. The $ v-t $ graph for a particle is as shown. The distance travelled in the first four seconds is :Physics Question Image

UPSEEUPSEE 2005

Solution:

Distance is a scalar quantity.
Distance is defined as length of the path between two points.
In this case
Distance =Area of v -t graph in $4 \,s$
= Area of triangle
$=\frac{1}{2} \text { base } \times \text { height } $
$=\frac{1}{2} \times 4 \times 8=16 \,m$