A wheel of radius $r$ rolls without slipping with a speed $v$ on a horizontal road. When it is at a point $A$ on the road, a small jump of mud separates from the wheel at its highest point $B$ and drops at point $C$ on the road. The distance $AC$ will be
A wheel of radius $r$ rolls without slipping with a speed $v$ on a horizontal road. When it is at a point $A$ on the road, a small jump of mud separates from the wheel at its highest point $B$ and drops at point $C$ on the road. The distance $AC$ will be
- A
$v\sqrt {\frac{r}{g}} $
- B
$2v\sqrt {\frac{r}{g}} $
- C
$4v\sqrt {\frac{r}{g}} $
- D
$\sqrt {\frac{{3r}}{g}} $
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