question_answer

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. [JEE Main 8-4-2019 Afternoon]

(a = acceleration, v = velocity, x = displacement, t = time)

A) , ,

B)

C) , ,

D) ,

Correct Answer: C

Solution :

[c] Given initial velocity u=0 and acceleration is constant

At time t

\[v=0+at\,\Rightarrow v=at\]

also \[x=0(t)+\frac{1}{2}a{{t}^{2}}\Rightarrow x=\frac{1}{2}a{{t}^{2}}\]

Graph [a] ; [b] and [d] are correct.