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Kindly provide the detailed explanation

46. The speed-time graph for the motion of a motorcycle is shown here. What is the average speed over 12 s interval ?

A. 4.38 m s^{-1}

B. 5.58 m s^{-1}

C. 1.75 m s^{-1}

D. 3.17 m s^{-1 }

Here in this case the average speed of the motor cycle is ,

${V}_{avg}=\frac{Totaldis\mathrm{tan}cetravelled}{Totaltimetaken}\phantom{\rule{0ex}{0ex}}=\frac{\left(5\times 2\right)+\left({\displaystyle \frac{1}{2}}\times 4\times 1\right)+\left(4\times 2\right)+\left({\displaystyle \frac{1}{2}}\times 6\times 3\right)+\left(3\times 3\right)}{12}\phantom{\rule{0ex}{0ex}}=\frac{10+2+8+9+9}{12}\phantom{\rule{0ex}{0ex}}=\frac{38}{12}\phantom{\rule{0ex}{0ex}}=3\xb717m/s$

Regards

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