Question:

Look at the graphs (a) to (d) carefully and state, with reasons, which of these cannot possibly represent one-dimensional motion of a particle.
 
Graph a to d possibly representing one-dimensional motion of a particle

Updated On: Nov 6, 2023
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Solution and Explanation

a. The given x-t graph, shown in (a), does not represent one-dimensional motion of the particle. 
This is because a particle cannot have two positions at the same instant of time.


b. The given v-t graph, shown in (b), does not represent one-dimensional motion of the particle. 
This is because a particle can never have two values of velocity at the same instant of time.


c. The given v-t graph, shown in (c), does not represent one particle. 
This is because speed being a scalar quantity cannot be negative.


d. The given v-t graph, shown in (d), does not represent one particle. 
This is because the total path length travelled by the particle cannot decrease with time. 

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Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.