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Question

Figure shows a particle starting from point A, travelling upto B with a speed s, then upto point C with a speed 2s and finally upto A with a speed of 3s. Find its average speed.

A
1.2 s
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B
1.8 s
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C
2.4 s
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D
3 s
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Solution

The correct option is B 1.8 s

Angle AOB=90=π/2, BOC=120=2π/3

AOC=2π(π2+2π3)=5π6

t1=ABs=π2Rs, t2=BC2s=2π3R2s, t3=CA3s=5πR63s

Average Speed =2πRt1+t2+ts=2πRπR2s+πR3s+5πR18s=2×18s20=1.8 s

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