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Q.

A particle covers 4 m, 5 m, 6 m and 7 m in 3rd, 4th, 5th and 6th second respectively. The particle starts:

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a

With an initial non-zero velocity and moves with uniform acceleration.

b

With an initial velocity and moves with non-uniform acceleration.

c

From rest and moves with uniform acceleration.

d

From rest and moves with uniform velocity.

answer is A.

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Detailed Solution

4=u+a22×3-1

or 4=u+5a2

5=u+a22×4-1

or 5=u+7a2

Subtracting, 1=7a2-5a2=2a2=a

Again, 4=u+52

or u=4-52=1.5ms-1

So, the initial velocity is non-zero and acceleration is uniform.

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