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Question

A point moves with uniform acceleration and v1,v2 and v3 denote the average velocities in the three successive intervals of time t1,t2 and t3. Which of the following relations is correct?


A

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B

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C

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D

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Solution

The correct option is B


Let u1,u2,u3 and u4 be velocities at time t=0,t1,(t1+t2) and (t1+t2+t3) respectively and let the acceleration be a then

v1=u1+u22,v2=u2+u32 and v3=u3+u42

Also u2=u1+at1,u3=u1+a(t1+t2)

and u4=u1+a(t1+t2+t3)

By solving, we get v1−v2v2−v3=t1+t2t2+t3


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