Question : A particle moves with constant acceleration and 𝑣1, 𝑣2 and 𝑣3 denote the average velocities in the three successive interval 𝑡1,𝑡2 and 𝑡3 of time. Which of the following relations is correct?
(A) \dfrac{v_{1}-v_{2}}{v_{2}-v_{3}}=\dfrac{t_{1}-t_{2}}{t_{2}+T_{3}}
(B) \dfrac{v_{1}-v_{2}}{v_{2}-v_{3}}=\dfrac{t_{1}-t_{2}}{t_{1}-T_{3}}
(C) \dfrac{v_{1}-v_{2}}{v_{2}-v_{3}}=\dfrac{t_{1}-t_{2}}{t_{2}-T_{3}}
(D) \dfrac{v_{1}-v_{2}}{v_{2}-v_{3}}=\dfrac{t_{1}+t_{2}}{t_{2}+T_{3}}
Answer : option (D)
Solution :
