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)
(A) a vs t: constant positive horizontal line
(B)

Question

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)
(A) a vs t: constant positive horizontal line
(B) v vs t: straight line increasing from origin
(C) x vs t: curve rising and then flattening (concave down)
(D) x vs t: curve rising with increasing slope (concave up)

Accepted Answer

(A), (B), (D). Uniform acceleration from rest: a is constant positive (A); v = a t is a straight line from origin (B); x = (1/2)a t^2 is a parabola with increasing slope, concave up (D). So (A),(B),(D) are correct.

Solution

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