Question

a particle move over three-quarters of a circle of radius r. what is the magnitude of its Displacement?

Answer 1

r√2 is my answer.☺☺☺☺☺☺

Answer 2

Answer:

Explanation:

A particle moves over three quarters of a circle of radius r. What is the magnitude of its  displacement?

Radius of circle =r

Body moves over 3 quarters

Magnitude of displacement = the hypotenuse of the 4th quarter whose Base and perpendicular r both = r unit.

Then,

(Hypotenuse)² = base² +perpendicular²

H² =r² +r²

H^2=2r²  

H=√2r²

The magnitude of its displacement √2r²