Question

Question #76b2d

Answer 1

distance : `pi*r/2`
displacement: `sqrt2r`

Explanation:

Let us consider a coordinate axis with the center as the center of the circular .

As the radius of the circle is r . initially consider the body is situated in the x axis at a distance r from the center .

we are given that the body has traveled 1/4th of the of the circle

the distance traveled by it will be `(2*pi*r)/4`(because 2 `pir` will be distance traveled by the body when it completes the whole circle

DISPLACEMENT:

When it travels 1/4th of the distance at final it will be at the y axis at a distance r from the center

applying pythagoras theorem the displacement will be `sqrt(r^2+r^2)=>sqrt(2r^2)=>sqrt2r`