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)

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)

Tardigrade Admin · Accepted Answer

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

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)

(A), (B), (C)

(A)

(A), (B), (D)

(B), (C)

Given initial velocity $u = 0$ and acceleration is constant
At time $t$
$v = 0 + a t \Rightarrow v = a t$
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.

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)

(A), (B), (C)

(A)

(A), (B), (D)

(B), (C)

Given initial velocity u=0 and acceleration is constant At time t v=0+at⇒v=at also x=0(t)+21​at2⇒x=21​at2 Graph (A) ; (B) and (D) are correct.

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)

Given initial velocity $u = 0$ and acceleration is constant
At time $t$
$v = 0 + a t \Rightarrow v = a t$
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.