Question

a body is moving along a circular path of radius ‘r’. What will be the distance and displacement after 2 rounds

Answer 1

$\bf{\underline{\underline{Given\: :}}}$

$\mathsf{\bigstar\: \: Radius = r\:\: units}$

$\bf{\underline{\underline{To\:find\: :}}}$

$\mathsf{\bigstar\: Distance\: after\: 2\: rounds}$

$\mathsf{\bigstar\: Displacement\: after\: 2\: rounds}$

$\bf{\underline{\underline{Solution\: :}}}$

$\text{Distance = Circumference of circle}$

$\mathtt{Distance\: (1\:round) = 2\pi r}$

$\mathtt{Distance\: (2\:rounds) = 2 × 2\pi r}$

$\fbox{\red{\mathtt{Distance\: (2\:rounds) = 4\pi r}}}$

Suppose the body starts from position A. After 2 rounds, the body will be on the same position (A). We know that displacement is the shortest distance between initial position and final position

$\fbox{\mathtt{ \green{Displacement\: (2\:rounds) = 0}}}$