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), (B), (C)
• B. (A)
• C. (A), (B), (D)
• D. (B), (C)

Answer 1

Answer: (C)

(A), (B), (D)

Answer 2

Given initial velocity $u = 0$ and acceleration is constant
At time $t$
$v = 0 + at \Rightarrow v = at$
also $x = 0(t) + \frac{1}{2} at^2 \; \Rightarrow \; x = \frac{1}{2} at^2$
Graph (A) ; (B) and (D) are correct.