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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)
- (A)
- (A), (B), (D)
- (B), (C)
- (A), (B), (C)
Correct answer: (A)
Solution
The correct option (A) indicates that acceleration is constant, which is consistent with uniform acceleration. This means the acceleration vs time graph is a horizontal line, reflecting that the acceleration does not change over time.
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