Question

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up
(A)

(B)

(C)

(D)

Answer 1

Understand the graphs provided in the choices, Read the graphs of all the choices, obtain the patterns of the motion and determine the choice that represents the different motion of the particle.

Complete step by step answer: Consider the choice (A): This graph says that, initially a particle is considered to be at rest, then it reaches the maximum distance. Finally returns back to zero position after a certain time uniformly.

Consider the choice (B): This graph says that, initially velocity at time zero is shown maximum, it decreases and becomes zero. Further becomes negative. Therefore, it shows similar motion as choice A.

Consider the choice (C): This graph says that, initially velocity at position zero is shown maximum, it decreases and becomes zero at maximum distance. Further becomes negative and the particle returns back to its initial position. Therefore, it shows similar motion as choice B and C.

Consider the choice (D): This graph says that a particle covers a distance in non-uniform motion. And the particle does not reach back to its initial position. Unlike the Choice A, B and C.

Therefore, the choice D is correct.

Note: Consider the motion of the particle thrown in the vertically upward direction. The motion of the particle will agree with graphs shown in choices A, B and C. And the Choice D doesn`t represent the same motion.