Question

Displacement of a body that completes 2 full and three fourth of a circular path which has diameter 4 m is:
A. 4√2m
B. 4 m
C. 2√2m
D. 3.14 m​

Answer 1

Answer:

2$\sqrt{2}$

Step-by-step explanation:

after 2 rounds the displacement is zero, therefore the 3/4th is counted, now here it's the same as 1/4 in the opposite direction from origin taken perspective into account, therefore it's a cord connecting from 1 end to the other end of the circle making 1/4 th of the perimeter, now you can visualize the circle with a square inside it having a cord connecting each fourth, to find the length of the cord you need to apply Pythagoras theorem from the radii to find the cord, since the diameter is 4m, the radii are 2m each, giving the hypotenuse aka the cord as 2$\sqrt{2}$