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. (a = acceleration, v = velocity, x = displacement, t = time) [JEE Main 8-4-2019 Afternoon]

[A]	[B]
[C]	[D]

 

A) [A], [B], [C]                

B) [A]

C) [A], [B], [D]

D) [B], [C]

Correct Answer: C

Solution :

Given initial velocity u=0 and acceleration is constant At time t \[v=0+at\,\Rightarrow v=at\] also \[x=0(t)+\frac{1}{2}a{{t}^{2}}\Rightarrow x=\frac{1}{2}a{{t}^{2}}\]            Graph [a] ; [b] and [d] are correct.