Question:

The velocity-time graph of particle comes out to be a non-linear curve. The motion is

Updated On: Mar 7, 2024
  • uniform velocity motion
  • uniformly accelerated motion
  • non-uniform accelerated motion
  • nothing can be said about the motion
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The Correct Option is C

Solution and Explanation

Velocity-time graph gives the instantaneous value of velocity at any instant. For non-uniformly accelerated motion, \(v-t\) graph Is non-linear.

  • In a velocity-time graph, the slope represents acceleration. 
  • When the velocity-time graph of a particle results in a non-linear curve, it indicates that the particle's acceleration is changing with time. 
  • In other words, the particle is not moving with a constant acceleration.
  • If the velocity-time graph shows a non-linear curve, the motion is termed as non-uniform accelerated motion. 
  • This means that the particle's speed is changing at different rates over time, leading to varying acceleration.
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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.