STANDARDPhysics-Motion in a Straight Line

STANDARD Physics Uniform Acceleration Multiple Correct Question

Type: Multiple Correct-conceptual-Medium-Class 11

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represents the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time)

Question diagram
A

(A)

B

(B)

C

(C)

D

(D)

Correct Answer

Option A

Detailed Explanation

Let a be the acceleration of the particle. The velocity at any time t, v = u + at = at [∵ u = 0]. The distance travelled x = ut + 1/2at² = 1/2at². So, the plot of velocity with time will be straight line passing through origin, while that of distance versus time will be parabola.

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