The Relationship of Linear Motion Equations

Introduction

In physics, Velocity, Acceleration, Force, Mass, and Inertia depend on each other. The five units are the core and important areas that Physics students learn in research for the purpose of enhancing and initiating modern Physics. Meanwhile, there are changes of these terms depending on the way they have been used and the occasion during mathematical computation. A body needs resistance when it experiences movement.

Velocity

This is the rate of change of a body’s displacement. It depends on the displacement made by the body. I.e. displacement being the distance moved by a body along a specific direction is measured in meters and its vector quantity determined (Barkan, 2005). Furthermore, velocity is measured according to the time taken during the displacement, and the principal results into a linear velocity. The initials are as shown below.

Acceleration (a) = Change in velocity/Time Taken (s)

Where m= mass and s= time taken

Meanwhile, average velocity, is the total arithmetic mean of the initial and final velocities of a body within a specified interval of time. The equation has been tabulated below.

Average Velocity = Initial (u) – Final (v) velocities / 2

Acceleration

It is the change of a body’s velocity. Acceleration depends on the velocity realized on the body and the time taken to accelerate (Smutny, 2006). The equation of acceleration depends on the changes made on the velocity with time and is measured in meters per seconds square. The result of the equation is shown below shows how acceleration is calculated.

Acceleration also appears uniformly on different bodies, and this changes the state of the body affecting its average velocity. This results in three equations that help into the solution when one is determining the uniformly accelerated linear motion bodies. The three equations are as stated below.

  1. v = u + ut
  2. s = ut + 1/2at²
  3. s = u² + 2as

Inertia

This is the tendency of resistance to a body’s motion. The first law of motion of Newton governs it. Our body’s mass does not change, but the weight changes due to the presence of gravitational pull. Hence, without inertia, our bodies will remain moving due to external forces.

Mass

Mass is the total weight of a body that is determined by the weight in Newton and the effect of gravity. Mass is determined by the acceleration and generation degree of the body (Curry, 2005). The mass of a given body remains the same even if acted upon by different forces. The amount of the mass that is determined when you are here on earth is the same as when you go to the moon.

Weight is different in various places as compared to mass since; the weight depends mostly on the amount of the mass of a given body and the type of gravitational pull acting on that particular body at a given instance. Mass is measured in kilograms. Mass is helpful to scientists especially when they are determining and calculating acceleration. When the force is applied to different bodies, each body accelerates at different speeds, and the effects of gravity are realized.

Force

Force is a push or a pull of an object caused by the effect of gravity and magnetism and which results in acceleration (Spilsbury & Spilsbury, 2008). A body remains from its state of inertia unless acted upon by the external effect that is the force and tends to resist this physical change to remain at the state of rest.

The first law of Newton’s motion brings about the state of inertia. Newton’s second law of states that; the force on a body is directly proportional to the acceleration it causes (Gianopoulos, 2008). The second law of Newton has enabled scientific computation to come up with the general equation that can solve problems in inertia.

Force is given by the effect of gravity and the weight of the body. Meanwhile, when we considered force from the second law of Newton we find that the effect of Force is determined by the mass that is directly proportional to the acceleration made. “I.e. Force = ma”.

This means that there is a bigger relationship between mass, acceleration, and velocity. When they are combined, they result in a force that is governed by the second Newton’s motion law.

Conclusion

Overall, from the First Law of Newton’s law of motion, we have learned that velocity, acceleration, Force, Mass, and inertia relate to each other. The research made on the theory that relates to the above-mentioned units of physics in motion shows that our bodies change their states of motion when they are acted upon by the force. Without an influence of force, our bodies will remain at rest hence it is only the weight that changes but not while the mass remains constant.

As the force is applied to the body, the body establishes movement that defines by distance within a given time. This means that moment the body starts to move within a given time, it results into a velocity status hence; acceleration realized. At a given instance, with the realization of acceleration, we are able to determine the force applied on the body by considering its mass and the acceleration made, keeping and maintaining in minds the second motion law of Newton laws.

We need force to be able to walk and do various activities here on earth. The effect of inertia brought out by the effect of force applied. For a given body to overcome the gravitational pull, force should be available to provide resistance.

References

Barkan, J. (2005). What Is Velocity? (Rookie Read-About Science). New York: Children’s Press (CT).

Curry, D. (2005).What is Mass? (Rookie Read-About Science). New York: Children’s Press (CT).

Giannopoulos, A. (2008). Isaac Newton and the Laws of Motion. United Kingdom: Capstone Publishers, Inc.

Smutny, J. (2006). Acceleration for Gifted Learners, K-5 [Paperback]. USA: Corwin Press.

Spilsbury, R & Spilsbury, L. (2008). What Are Forces and Motion? Exploring Science with Hands-on Activities (In Touch With Basic Science). United Kingdom: Enslow Elementary publisher.

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