A particle moves with uniform acceleration and \( \mathrm{v}_{1}, \mathrm{v}_{2} \) and \( \mathrm{v}_{3} \) 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?
\( \mathrm{P} \)
(A) \( \left(\mathrm{v}_{1}-\mathrm{v}_{2}\right):\left(\mathrm{v}_{2}-\mathrm{v}_{3}\right)=\left(\mathrm{t}_{1}-\mathrm{t}_{2}\right):\left(\mathrm{t}_{2}+\mathrm{t}_{3}\right) \)
(B) \( \left(\mathrm{v}_{1}-\mathrm{v}_{2}\right):\left(\mathrm{v}_{2}-\mathrm{v}_{3}\right)=\left(\mathrm{t}_{1}+\mathrm{t}_{2}\right):\left(\mathrm{t}_{2}+\mathrm{t}_{3}\right) \)
W
(C) \( \left(v_{1}-v_{2}\right):\left(v_{2}-v_{3}\right)=\left(t_{1}-t_{2}\right):\left(t_{1}-t_{3}\right) \)
(D) \( \left(v_{1}-v_{2}\right):\left(v_{2}-v_{3}\right)=\left(t_{1}-t_{2}\right):\left(t_{2}-t_{3}\right) \)
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