# Rectilinear Motion of Particles

## Introduction

In the case of the position of the particles that change with respect to time duration as well as the surrounding environment then the body of the particles is referred to be in motion. From the mathematical perspective, the motion of the can be described with the mode of displacement that the velocity and the acceleration in a specific frame. The displacement and the velocity of the acceleration are strictly restricted to a single direction.

## What is the Rectilinear Motion of particles?

Motion is a significant phenomenon in our daily lives that is mainly circulated into different electronic devices. Rectilinear motion of particles is mostly required in the co-ordinate axis that is applicable for the co-ordinate axis. Simply, the rectilinear motion of particles is mostly used for providing the proper descriptions of the motion of the particles (Nyobe et al. 2021).

As per the mathematical perspectives, the liner notion, as well as the rectilinear motion of particles, is the most common for describing the motion of a particle.

## Application of Rectilinear Motion of Particles

The application of the rectilinear motion of particles is commonly seen in the elevators that are observed in a public place. Besides this, in order to measure the gravitational force of an object that resulted from the free fall movement is also a perfect example of the rectilinear motion of particles.

Other important particles of the application of the rectilinear motion of particles are commonly seen in the sliding for the kids and the motions of planets that are generally seen in the flying mode are also a perfect example of the rectilinear motion of particles. In order to maintain and measure the speed and velocity of an object, it can be measured through ''Rectilinear movement with non-uniform acceleration''.

Figure 1: Application of Rectilinear motion

In order to measure the motion of the non-uniform acceleration of the objects is a unique example of the changes in velocity. Velocity is a type of linear that entirely varies with the time and that is why the straight line of runs through the straight line. The motion of the two different particles falls under t6he action of a particular central force such as electrostatic force which is easily measured by the force with the application of the rectilinear motion of particles

## Types of Rectilinear Motion of Particles

Rectilinear motion is classified into three different types uniform motion which mainly works with zero acceleration, and ''uniformly accelerated motion'' which is mainly referred to as non-zero acceleration which is constant. Besides this, motion belongs to non-uniform acceleration and is one of the most important types of rectilinear motion. This motion is free-fall that is under gravity along with a simple harmonic motion that is massively attached to particles of spring. All the types of rectilinear motion are severally used in the particles of the different electric or magnetic field that belongs to any other electric device. The case of an object travelling with a contrast speed along with zero acceleration is commonly known as the ''Uniform rectilinear motion'' (Kailasham & Khair, 2022). The ''Uniformly accelerated rectilinear motion'' can be seen in the case of the particles travelling with constant movement with more than zero acceleration. Finally, ''Rectilinear movement with non-uniform acceleration'' is happened if the particles travel with an inconsistent speed as well as rapidly changing acceleration.

## Functions of Rectilinear Motion of Particles

Distance and displacement is an important concert that is m mostly applicable to the rectilinear motion of particles. Here, distance refers to the entire length that is cupboard by the electric motion while the journey. The displacement of the motion can be defined as the distance of the path from the initial position and the final position of the path.

Figure 2: Rectilinear motion of particles

The rectilinear motion of particles is also popularly known as the motion of a straight line because of the straight movement of the particles. In the above-mentioned picture, x/(t) denotes the position of the particles that move along with the direction of the motion and T in this formula denotes the initial time of the motion (Durey & Bush, 2021).

In the final position, of the particles, time is calculated from the motion of initial and final time. The rectilinear motion of particles is mostly used for the measurement of particle displacement of particles along with velocity as well as acceleration.

The most common application of rectilinear motion of particles is severally seen in the numerous problems of different mathematical issues. With the applications of the rectilinear motion of particles, the position and the displacement of the particle's velocity as well as the evaluation of the kinematics of the mathematical problems mostly accept the derived equations (Schnitzer, 2022). In order to measure the velocity and the velocity of the different particles, the rectilinear motion of particles is mostly seen.

The speed of the particles can be calculated by measuring the total distance travelled with the multiplication of the total time taken. With the application of the rectilinear motion of particles velocity of the particles can also be measured by subtracting the points of the final position from the primary position of the particles and the whole calculation is measured by the total time taken during the journey (Diehl, 2020).

• The movement of the elevator is a perfect example of the rectilinear motion of particles.

## Conclusion

Different types of motion can be regulated under the rectilinear motion of particles. Rotary motion is an important type of motion that mainly involves the movement of a specific object that provides a circular motion that takes place in the surroundings of the rotation axis. This particular type of motion is commonly seen through the rotation of the Earth. Oscillatory motion is another significant category that reflects periodic motion. This particular type of motion is generally seen when the child is playing in a swing.

## References

### Journals

Diehl, E. (2020). The Engineering Dynamics Course Companion, Part 1: Particles: Kinematics and Kinetics. Synthesis Lectures on Mechanical Engineering, 5(4), 1-245.

Durey, M., & Bush, J. W. (2021). Classical pilot-wave dynamics: The free particle. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(3), 033136. Retrieved from: https://aip.scitation.org

Kailasham, R., & Khair, A. S. (2022). Chaotic dynamics of an autophoretic particle. arXiv preprint arXiv:2203.01988. Retrieved from: https://arxiv.org

Nyobe, S., Campillo, F., Moto, S., & Rossi, V. (2021). The one step fixed-lag particle smoother as a strategy to improve the prediction step of particle filtering. Retrieved from: https://hal.inria.fr

Schnitzer, O. (2022). Weakly nonlinear dynamics of a chemically active particle near the threshold for spontaneous motion. Part 1: Adjoint method. arXiv preprint arXiv:2205.06136. Retrieved from: https://arxiv.org

## Websites

conceptualdynamics (2022), Different types of motion, Available at: http://www.conceptualdynamics.com [Accessed on 10th June 2022]

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Updated on: 18-Aug-2023

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