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  4. 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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Q. 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)Physics Question Image

JEE MainJEE Main 2019Motion in a Straight Line

Solution:

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.

Solution Image Solution Image