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Kinematics is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations. The goal of any study of kinematics is to develop sophisticated mental models



KINEMATICS

Kinematics is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations. The goal of any study of kinematics is to develop sophisticated mental models which serve us in describing (and ultimately, explaining) the motion of real-world objects.

The motion of objects can be described in terms, such as distance, displacement, speed, velocity, and acceleration. These mathematical quantities which are used to describe the motion of objects can be divided into two categories. The quantity is either a vector or a scalar. These two categories can be distinguished from one another by their distinct definitions:

· Scalars are quantities which are fully described by a magnitude alone.

· Vectors are quantities which are fully described by both a magnitude and a direction.

For example, distance and displacement are two quantities which may seem to mean the same thing, yet have distinctly different definitions and meanings.

· Distance is a scalar quantity which refers to "how much ground an object has covered" during its motion.

· Displacement is a vector quantity which refers to "how far out of place an object is"; it is the object's change in position.

Just as distance and displacement have distinctly different meanings (despite their similarities), so do speed and velocity. Speed is a scalar quantity which refers to "how fast an object is moving." A fast-moving object has a high speed while a slow-moving object has a low speed. An object with no movement at all has a zero speed.

Velocity is a vector quantity which refers to "the rate at which an object changes its position." As such, velocity is "direction-aware." When evaluating the velocity of an object, one must keep track of direction. It would not be enough to say that an object has a velocity of 55 mi/hr*. One must include direction information in order to fully describe the velocity of the object. For instance, you must describe an object's velocity as being 55 mi/hr, east. This is one of the essential differences between speed and velocity.

The final mathematical quantity is acceleration. Acceleration is а vector quantity which is defined as "the rate at which an object changes its velocity." An object is accelerating if it is changing its velocity.

 

 

Vocabulary

kinematics,motion, equation, to develop model, distance, displacement, speed,

velocity, acceleration, a vector, a scalar, quantity, to distinguish, magnitude, direction, to refer, to change position, evaluating, to keep track

___________________________

*55 mi/hr = 55 miles per hour

 

Exercise 1: Match the English words with their Russian equivalents.

scalar

цель

goal

векторная величина

evaluate

скалярная величина

vector

описывать

motion

оценивать

describe

движение

 

Exercise 2: Match the Russian words with their English equivalents.

скорость

sophisticated

ускорение

equation

величина

distance

перемещение

speed

уравнение

displacement

усовершенствованный

acceleration

расстояние

quantity

 

Exercise 3: Make all type of questions to this sentence.

Scalars are quantities which are fully described by a magnitude alone.

 

Exercise 4: In the text find and read the sentences with the following phrases.

1)can be divided into two categories

2)"the rate at which an object changes its velocity."

3)goal of any study

4)distinctly different meanings

5)into two categories

6)acceleration

7)keep track of direction

8)object has covered

9)equations

10)which refers to

Exercise 5: Agree or disagree with my statements.

Exercise 6: Make up 10 questions to the text. Then ask your group mates about it.

 

Exercise 7: Speak on

1) Kinematics as a science, about its goal.

2) The terms of the objects motion and its two categories.

3) Of the difference between distance and displacement.



4) Of the difference between speed and velocity.

5) About acceleration.

 

Exercise 8: In the text find examples of the Present Simple Tense.

 

 


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