plz solve my question as soon as possible plz see the (attached image)

after collision let linear and angular velocity of centre of rod be V and w. Let moment of inertia of rod perpendicular to rod through centre of rod be I,

mv0=MV,(v0*L/2)m=Iw

(m/2)(v0)²=(I/2)w²+(M/2)V², solve the three equations to obtain V,w and M.

b)(lAPl-(L/2))w=V

c)at t=(pi)L/3V0 AP would have rotated by w*t

(linear speed)²=(V+((lAPl-(L/2))sin(270⁰-wt)))²+((lAPl-(L/2))cos(270⁰-wt))²