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Question

A particle starts from origin O from rest and moves with a uniform acceleration along the positive xaxis. Identify all figures that correctly represent the motion quantitatively.
(a= acceleration, v= velocity, x= displacement, t= time)


A
(B),(C)
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B
(A)
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C
(A),(B), (C)
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D
(A), (B), (D)
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Solution

The correct option is D (A), (B), (D)
Given,

initial velocity, u=0 and

acceleration, a=constant

So, graph (A) is correct.

At time t, using equations of motion

v=0+at

v=at ....(1)

Also,

x=0(t)+12at2

x=12at2 ....(2)

Using equations (1) and (2) we get the graphs (A), (B) and (D) .


Hence, (C) is the correct answer.

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