## CHECK THESE SAMPLES OF Equations of motion

...?Linear **Equations**: Linear **equation**, an important concept in algebra was invented by Rane Descartes. Descartes was born in 1596 in France. He studied mathematics from the book of Culvius. Linear algebra was followed by the development of determinants in 1693 and Cramer presented his theory to solve systems of linear **equations** in 1750. Dependent and Independent Variables analysis started developing thereafter. Linear models formation was naturally a next step further for the solution of several real life issues. (A Brief History) Linear **equation** concept gave birth to the dependent and independent variables. Linear **equation** shows a relationship between two...

3 Pages(750 words)Research Paper

... and the particle, and w represents the angular velocity of the rolling object. Mechanical energy of a rolling object can be defined as kinetic energy plus potential energy in the system of an object. For mechanical energy to be conserved, the sum of kinetic and potential energies within the system should always remain constant especially when the object is only affected (Adams. 2008) by conservative forces. For uniform acceleration to occur, the **equations** that would describe the object’s **motion** include: V= u +at ............................................................................................................................(2) S= ?(u+ v) t... ...

7 Pages(1750 words)Essay

...? **Equation** of **motion**: Simple Harmonic **Motion** Objectives of the experiment. The main objectives of this experiment include: To construct simple pendulums, and find their periods. To generate values for (Ag) the free fall acceleration. To evaluate the relationships between length and period for different pendulums. Introduction. Simple harmonic **motion** involves an oscillating **motion** where by the restoring force is proportional to the displacement. When a system is set in a to and fro **motion**, a periodic **motion** is produced. This is referred to as vibration. When a body is at rest, it is said to be at its equilibrium position....

7 Pages(1750 words)Essay

...In this project, Bluman (2004, p. 331) challenged students to examine an **equation**, x2 – x + 41, which purportedly yields prime numbers. Students choose numbers to substitute to x in the formula and observe if prime numbers occur. An added challenge was to venture into finding a number, which when substituted in the given **equation**, will result in a composite number.
It is presupposed that a prime number is one whose factors are itself and 1, is common knowledge. On the other hand, a composite number may not be that much of a common knowledge. A definition is thus, provided: a composite number is “any whole number greater than one that is not a prime number … [it] always has at least one divisor other...

4 Pages(1000 words)Assignment

...Applications of Newton’s Laws of **Motion** – Measurement of the acceleration due to gravity g using gym weights Introduction and Principle Newton’s **equations** of **motion** form the basis of all engineering and constitute the quantitative framework of Newton’s laws of **motion**. If a body with initial velocity u undergoes uniform acceleration a and covers a distance s in the time t,
Where v is the final velocity.
When applied to rotating bodies, these **equations** undergo a change of terms. The terms corresponding to distance, velocity, acceleration and force, change respectively to angle, angular velocity, angular acceleration and torque. Mass is similarly replaced...

5 Pages(1250 words)Book Report/Review

...Applications of Laws of **Motion** – Projectile **Motion** Introduction The aim of this project is to design an experiment that will test and vali the concepts of Newton’s **equation** of **motion**, conservation of energy and rotational **motion**. These principles form the basics of all of physics and applied engineering. In this experiment, all the three concepts are applied in deriving the final position of a steel ball ejected as a projectile through an inclined tube; leading to not only greater understanding of the concepts but also a more holistic approach to engineering as none of these concepts occur in isolation in real life.
Principles Involved
Newton’s Laws of...

5 Pages(1250 words)Book Report/Review

...Quadratic **Equations** Introduction Raising a pet is not as easy as it looks. To keep a pet one must possess patience and a passion forthe pet that one is raising. Space is vital for the provision of an enabling environment for the rearing of pet. Different pets need different amounts of space for the provision of enough areas for their survival. My pet is a cat, which naturally spends a better part of its day in the house.
This does not make it “a potato couch” and; thus, the need to fence my backyard arises. The backyard is of a rectangular shape with its length, L = 2W- 2 and a width W=13-L. All these measurements are in meters. This area encompasses the whole of my backyard, and it is large enough to provide an ample...

1 Pages(250 words)Assignment

...Can you think of examples of processes that could be modeled with quadratic **equations**? In the real world, ‘Quadratic **Equations**’ can prove useful in a number of ways as –
(1) Modeling costs for a general store –
In C(x) = -0.03x2 + 57x + 310, for instance, the independent variable ‘x’ may refer to the number of materials bought which a store needs in order to produce sellable items. These materials are worth the variable cost C(x) with fixed cost of $310. Since the parabolic curve opens downward, as characterized by the negative leading coefficient, one manages to determine that a maximum cost is reached when x = -57/[ 2(-0.03) ]. The cost may be predicted to decline once the store decides to...

1 Pages(250 words)Assignment

...s Post-Laboratory Assignment Molecular and ionic **equations** Step1 Molecular **equation** Cu(s)+4NHO3 (aq) Cu(NO3)2 (aq)+2NO2 (g)+2H2O (g)
Ironic **equation**
Cu(s)+4H+(aq)+4NO3-(aq) Cu2+(aq)+2NO3-(aq)+ 2N3+(aq)+4O2-(aq)+ 2H2O (g)
Step 2
Molecular **equation**
Cu(NO3)2 (aq)+2NaOH(aq) Cu(OH)2 (s)+2NaNO3 (aq)
Ionic **equation**
Cu2+(aq)+ 2NO3-(aq)+2Na+(aq)+2OH-(aq) Cu2+(aq)+ 2OH-(aq)+2 Na+(aq)+ 2NO3-(aq)
Step 3
Molecular **equation**
Cu(OH)2 (s) CuO(s) +H2O(g)
Ionic **equation**
Cu2+(aq)+ 2OH-(aq) Cu2+(aq)+O2-+ H2O(g)
Step...

1 Pages(250 words)Assignment

...Introduction
**Equations** of **motion** are **equations** that describe the **motion** of a particular object in terms of time. **Equations** of **motion** can be used to find out the displacement, velocity, time and acceleration of an object in **motion**. However these **equations** are useful only in the case of uniform acceleration and do not apply in the cases of non-uniform acceleration of objects (Frankel, 2011). These **equations** are also called as the Newton’s **equations** of **motion**.
Contents
Introduction 1
Contents 2
Literature Review 3
Derivation of the...

8 Pages(2000 words)Book Report/Review