A point moves with uniform acceleration and \[{{v}_{1}},\,{{v}_{2}}\] and \[{{v}_{3}}\] denote the average velocities in the three successive intervals of time \[{{t}_{1}},\,{{t}_{2}}\] and \[{{t}_{3}}\]. Which of the following relations is correct [NCERT 1982]

• A.             \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\]
• B.             \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}+{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\]
• C.             \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{1}}-{{t}_{3}})\]
• D.             \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}-{{t}_{3}})\]