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    3.

    A particle moves with constant acceleration and v1,v2{v_1},{v_2} and v3{v_3} denote the average velocities in the three successive interval t1,t2{t_1},{t_2} and t3{t_3} of time. Which of the following relations is correct?

    A

    v1βˆ’v2v2βˆ’v3=t1βˆ’t2t2+t3\frac{{{v_1} - {v_2}}}{{{v_2} - {v_3}}} = \frac{{{t_1} - {t_2}}}{{{t_2} + {t_3}}}

    B

    v1βˆ’v2v2βˆ’v3=t1βˆ’t2t1βˆ’t3\frac{{{v_1} - {v_2}}}{{{v_2} - {v_3}}} = \frac{{{t_1} - {t_2}}}{{{t_1} - {t_3}}}

    C

    v1βˆ’v2v2βˆ’v3=t1βˆ’t2t2βˆ’t3\frac{{{v_1} - {v_2}}}{{{v_2} - {v_3}}} = \frac{{{t_1} - {t_2}}}{{{t_2} - {t_3}}}

    D

    v1βˆ’v2v2βˆ’v3=t1+t2t2+t3\frac{{{v_1} - {v_2}}}{{{v_2} - {v_3}}} = \frac{{{t_1} + {t_2}}}{{{t_2} + {t_3}}}

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