A particle starts from origin O from rest and moves with a uniform acceleration along the positive x−axis. 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) .