1.

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

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


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