Question

a farmer moves along the boundary of a rectangular field abcd. he takes 4 minutes to travel across each side. Is the motion of this farmer uniform or non uniform? find his average speed over one complete round of the field.

Answer 1

Non Uniform
Average speed = 30m/min

Answer 2

${\purple{\underline{\underline{\bf{\pink{AnswEr:-}}}}}}$

Is the motion of this farmer uniform or non - uniform?

• The motion of this farmer is non - uniform.

${\purple{\underline{\underline{\bf{\pink{Solution:-}}}}}}$

$\mathfrak{\underline{AnswEr:-}}$

• The average speed over one complete round of the field = 15 m/min

$\mathfrak{\underline{Given:-}}$

• A farmer moves along the boundary of a rectangular field ABCD. He takes 4 minutes to travel across each side.

$\mathfrak{\underline{Need\:To\: Find:-}}$

• The average speed over one complete round of the field = ?

${\purple{\underline{\underline{\bf{\pink{Explanation:-}}}}}}$

$\:\:\:\:\dag\bf{\underline \green{Formula\:used\:here:-}}$

$\bigstar{\underline{\boxed{\sf\purple{Average\:speed = \dfrac{Total\: distance\: covered}{Total\:time\:taken} }}}}$

$\:\:\:\:\dag\bf{\underline \blue{Putting\:the\:values:-}}$

$\longrightarrow \sf {Average\:Speed = \dfrac{40+80+40+80}{4+4+4+4} }$

$\longrightarrow \sf {Average\:Speed = \dfrac{\cancel{240}}{\cancel{16}}\:}$

$\longrightarrow \sf {Average\:Speed = 15\:m/min}$

$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

• The average speed over one complete round of the field is 15 m/min.

$\rule{200}{2}$