A classical mechanics problem by Anik Mandal

A point moves with uniform acceleration and v 1 , v 2 v_1 , v_2 and v 3 v_3 denote the average velocities in three successive intervals of time t 1 , t 2 t_1 , t_2 and t 3 t_3 .Which of the following options is correct?

( v 1 v 2 ) : ( v 2 v 3 ) = ( t 1 t 2 ) : ( t 2 t 3 ) (v_1-v_2) :(v_2 - v_3) = (t_1 - t_2):(t_2- t_3) ( v 1 v 2 ) : ( v 2 v 3 ) = ( t 1 + t 2 ) : ( t 2 + t 3 ) (v_1-v_2) :(v_2 - v_3) = (t_1 + t_2):(t_2+t_3) ( v 1 v 2 ) : ( v 2 v 3 ) = ( t 1 + t 2 ) : ( t 2 t 3 ) (v_1-v_2) :(v_2 - v_3) = (t_1 + t_2):(t_2-t_3) ( v 1 + v 2 ) : ( v 2 + v 3 ) = ( t 1 + t 2 ) : ( t 2 + t 3 ) (v_1+v_2) :(v_2 + v_3) = (t_1 + t_2):(t_2+t_3)

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