A sportsman runs around a circular track of r | vedclass

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(D) The sportsman starts at point $A$,completes one full circle to return to $A$,and then moves along the semi-circular arc to point $B$.Distance is t

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$3 \pi r, 2 r$

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(D) The sportsman starts at point $A$,completes one full circle to return to $A$,and then moves along the semi-circular arc to point $B$.Distance is the total path length covered. One full circle is $2 \pi r$ and the semi-circular arc from $A$ to $B$ is $\pi r$. Thus,total distance $= 2 \pi r + \pi r = 3 \pi r$.Displacement is the shortest straight-line distance between the initial position $A$ and the final position $B$. Since $A$ and $B$ are diametrically opposite points on the circle,the displacement is equal to the diameter of the circle,which is $2 r$.

$A$ sportsman runs around a circular track of radius $r$ such that he traverses the path $ABAB$. The distance travelled and displacement,respectively,are

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