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A disc is rolling without slipping on a surface. The radius of the disc is R. At t = 0, the top most point on the disc is A as shown in figure. When the disc completes half of its rotation, the displacement of point A from its initial position is A R

1. 2R
2. ( ) 4 R 2 + π
3. ( ) 1 R 2 + π
4. ( ) 2 4 1 R 2 π +

Correct answer: ( ) 4 R 2 + π

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