A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$. The…

A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$. The distance travelled and displacement, respectively, are
  1. $2 \mathrm{r}, 3 \pi \mathrm{r}$
  2. $3 \pi r, \pi r$
  3. $\pi r, 3 r$
  4. $3 \pi r, 2 r$

Solution

Displacement $=2 r$
Distance $=2 \pi r+\pi r=3 \pi r$

Asked in: JEE Main 2025 (02 Apr Shift 2)

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