A particle starts from origin O from rest and moves with a uniform… | JEE Main 2019 (8 Apr, Shift 2)

Q30JEE Main 2019 · 8 APR · SHIFT 2Medium

Graphs of Motion

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 = displacement, t = time)

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Answer: (d)

Uniform acceleration from rest at origin: $a$ = constant, $v = at$ , $x = \frac{1}{2}at^2$ .
(A) constant $a$ : correct. (B) $v$ - $t$ straight line through origin: correct.
(C) $x$ starts above zero and flattens out: wrong. (D) parabola from origin curving upward: correct.
So (A), (B), (D). So the answer is (d).

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