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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)

(B), (C)

(A), (B), (D)

(A), (B) , (C)

(A)

Solution:

Correct option is C. (A), (B), (D)
Given initial velocity u=0 and acceleration is constant
At time t
v=0+at ⇒ v=at
also x=0(t)+1/2at² ⇒ x=1/2at²
Graph (A), (B) and (D) are correct.