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  • The figure illustrates the velocity variation of a particle moving along a straight line with respect to time. Determine the distance traveled by the particle within a duration of four seconds.

The figure illustrates the velocity variation of a particle moving along a straight line with respect to time. Determine the distance traveled by the particle within a duration of four seconds.

 

Option: 1

55 \mathrm{~m}


Option: 2

65 \mathrm{~m}


Option: 3

75 \mathrm{~m}


Option: 4

85 \mathrm{~m}


Answers (1)

best_answer

\begin{aligned} & \text { Distance }=\text { Area under } v-t \text { graph }=A_1+A_2+A_3+A_4 \\ & =\frac{1}{2} \times 1 \times 20+(20 \times 1)+\frac{1}{2}(20+10) \times 1+(10 \times 1) \\ & =10+20+15+10=55 \mathrm{~m} \end{aligned}

 

Posted by

Rishabh

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