Answer:
Average velocity between 10s and 30s
\[=\frac{dis\tan ce\,\,travelled}{Time\,\,taken}\]
Distance travelled in 10s to 30s = area of trapezium AFEB + Area of trapezium CDEB
\[=\frac{1}{2}(AF+BE)\times FE+\frac{1}{2}(CD+BE)\times DE\]
\[=\frac{1}{2}(21+12)cm{{s}^{-1}}\times 5s+\frac{1}{2}(21+12)cm{{s}^{-1}}\times 15s=\frac{1}{2}\times 33\times 5cm+\frac{1}{2}\times 33\times 15cm\]
\[=(82.5+247.5)cm=330cm\]
Total time taken = 20 seconds.
\[\therefore \] Average velocity \[=\frac{330cm}{20s}=16.5cm/s\]
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