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JEE PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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A point moves with a uniform acceleration and v1,v2,v3v_1, v_2, v_3 denote the average velocities in three successive intervals of time t1,t2,t3t_1, t_2, t_3. Which of the following relations is correct?
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Correct option: B
(v1−v2):(v2−v3)=(t1+t2):(t2+t3)\left(v_1-v_2\right):\left(v_2-v_3\right)=\left(t_1+t_2\right):\left(t_2+t_3\right)
The correct answer is B because the relationship between average velocities and time intervals with uniform acceleration leads to the given ratio.

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