A particle is moving along a circle of radius R with a uniform speed v. At t=0,the principal is moving along east. Find the charge in velocity (magnitude and direction)in (a)​​​ 1/4 Revolution,(b) 1/2revolution(c)3/4 Revolution and (d)1revolution

 

Let the particle start at t=0 at origin of cartesian coordinate system.

Velcoity vectors are shown in figure for each quarter revolution.

 

Change in velocity after 1/4 revolution = v₁ - v_o = |v| ( j - i )

Change in velocity after 1/2 revolution = v₂ - v_o = -2|v| i

Change in velocity after 3/4 revolution = v₃ - v_o = -|v| ( j + i )

Change in velocity after 1 revolution = 0