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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 v1âˆ’v2v2âˆ’v3=t1+t2t2+t3

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