Question

a body covered a distance x meter along a semicircular path . calculate the displacement and ratio of distance and displacement

Answer 1

circumference = 2*π*r 
for semicircle = π*r
distance covered = x 
.'. x = πr   .................. ( i )
now, 
   displacement = diameter  ................( ii )
                       
from ( i ) & ( ii )
    ⇒  x : displacement
    ⇒  πr / 2r 
    ⇒  π / 2 = π : 2   ( answer )
        
         
 


 

Answer 2

Circumference of semicircle is given by=πr
body cover distance=x
hence
x=πr,it is the distance actual covered by body
Displacement means shortest distance b/w initial and final point that is diameter=2r
According to demand of question
displacement:distance=2r:πr⇒2:π⇒7:11