A particle starts from origin O from rest and moves with a uniform acceleration along the positive   x…

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 qualitatively.
( a= acceleration, v= velocity, x=  dispalcement, t= time)
A
B
(C)
(D)
  1. A,B,(D)
  2. A,B,(C)
  3. B,(C)
  4. (A)

Solution

A. Acceleration =  constant; a vt graph will be constant line parallel to time axis. Option A is correct.
B. v=u+at ; velocity vs time graph will be straight line passing through origin. Option B is correct.
u=0;  initially at rest
v= at
C. X=12at2 (particle was initially at origin) vt graph will be parabola passing through origin. Option D is correct.

Asked in: JEE Main 2019 (08 Apr Shift 2)

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