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Displacement in 2D Motion

A cyclist mov...

Question

A cyclist moves from a certain point P and goes round a circle of radius a and reaches Q, exactly at the outer side of the point P as shown in figure. The displacement of cyclist would be

A

π

a

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B

2

π

a

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C

2a

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D

2

π

/a

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Solution

The correct option is D 2a

Displacement of the cyclist = Shortest distance between P and Q is
daimeter = PO + OQ = a + a = 2a

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