Third Equation of Motion


 
 
Concept Explanation
 

Third Equation of Motion

THIRD EQUATION OF MOTION:

large v^{2}-u^{2}=2as

v= Final Velocity

u = Initial Velocity

a= Acceleration

s= Distance

Let us derive the third equation of motion

Distance travelled=average velocity X time

large Average; Velocity = frac{v+ u}{2}

             large s=frac{u+v}{2}times t                            (I)

But from the first equation of motion, v = u + at

large at= v-u

large t= frac{v-u}{a}

Substituting the value of t in Eq (I)

  large therefore  large s=frac{u+v}{2}timesfrac{v-u}{a}

 or   large s=frac{v^{2}-u^{2}}{2a}

large v^{2}-u^{2}=2as

Example: A car is moving with an initial velocity of 5 m/s . The final velocity is 25 m/s when it accelerates at thr rate of 6 m/sq. s. Find the distance travelled

Sol: u = 5 m/s

       v= 25 m/s

       a = 6 m/sq. s

       s = ?

large v^{2}-u^{2}=2as

large 25^2-5^2= 2; X; 6; X; s

(25+5)(25-50 = 12 s

30 X 20 = 12 s

600 = 12 s

large s=frac{600}{12}= 50;m

The three equations listed can be used to solve the majority of kinematic problems.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

A body with an initial velocity of 36 km/h accelerates uniformly at the rate of 18 cm s^{-2} over a distance of 200 m. calculate: the acceleration in ms^{-2} and its final velocity in ms^{-1}

Right Option : A
View Explanation
Explanation
Question : 2

The speed of a car reduces from  large 15 : m: s ^{-1}: : to : : 5: m: s^{-1} over a displacement of 10 m. What is the unifomr acceleration of the car ?

Right Option : A
View Explanation
Explanation
Question : 3

A car, travelling at a speed of 20 km/hr is brought to rest by applying brakes. It covers a distance of 5 m before coming to rest. Had the speed of the car been 40 km/hr, find the distance it would have covered before coming to rest on applying the same force.

Right Option : C
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
Chapters
Cytology
Classifucation Of Plants
Structural Composition Of Plants
Nutrition In Plants, Harmones And Plant Disease
Ecosystem
Classification In Animals
Nutrition In Animals
Human Digestive System
Human Respiratory System
Human Skeleton System
Human Excretory System
Human Nervous System
Human Circulatory System
Human Endocrine System
Human Reproductive System
Genetics
Human Diseases
States Of Matter
Metals And Non Metals
Acid Bases And Salts
Periodic Classification
Fuel, Combustion And Flame
Environmental Chemistry
Rest And Motion
Work Power And Energy
Gravitation
Pressure And Its Effects
Simple Harmonic Motion
Sound and Waves
Heat And Temperature
Light - Reflection
Electricity And Magnetism
Modern Physics
Force And The Laws Of Motion
Light - Refraction
Dispersion And Human Eye
Magnetic Effect Of Electric Current
Atom And Molecule
Pre-Historic Period
Indus Valley Civilization
Vedic Civilization
Religious Reform Movement
The Early Kingdoms
The Mauryan Empire
Post Mauryan Period
The Age Of The Guptas
Post Gupta Era
Age of Rajput
Khilji Dynasty
Slave Dynasty
Tughlaq and Sayyid Dynasty
Vijaynagar Empire And Bahamani Kingdom
Mughal Empire And Beyond
Lodhi Dynasty
Cholas, Chalukyas and Pallavas
Arab Invasions
Bhakti and Sufi Movement
Rise of Sikhs, Jats and Marathas
Administrative Structure of Delhi Sultanate
Architecture During Medivial India
Advent Of The Europeans
Post Mughal Period
Rise of New States in 18th Century
Growth of British Paramountacy
Socio Religious Reforms
Constitutional Development of India
Indian Struggle Against British Rule
The Revolt Of 1857
Education Under British Rule
Role of Press in Freedom Struggle
First Phase of National Movement
Second Phase of National Movement
Third Phase of National Movement
Constitutional Development in India
Constituent Assembly
Union And Its Territory
Structure of Indian Constitution
Fundamental Rights and Duties
The Union Executive
The Union Legislature
Constitutional Amendments and Provisions
Judiciary In India
Emergency Provisions
Center - State Relations
The State Executive
The State Legislature
Election Commission Of India
Constitutional Organisation
Non-Constitutional Organisation
Local Self Goverment
India - Size And Location
Geological History Of India
The Physical Features Of India
Climate Of India
Soils In India
Natural Vegetation
Windlife Conservation In India
Drainage System of India
Irrigation System Of India
Agriculture In India
Livestock And Fisheries In India
Minerals And Energy Resources In India
Means Of Transport In India
Major Industries In India
Tribes of India
Census of India 2011
Music
Dance
Theatre
Pantings
Art, Architecture & Culture of India
Bio-Diversity
Earth And Its Structure
Land Rock And Soil
Atmosphere, Climate And Weather
Oceanography
Human And Regional Geography
Economic Growth And Development
Sectors Of Indian Economy
Economic Planning Of India
Fiscal And Monetary Policy In India
Infrastructure In India
Effects Of British Rule On Indian Economy
National Income
Banking System In India
Poverty And Unemployment
Inflation And Trade Cycles
Major Institutions
Environmental Studies
Chemistry In Everyday Life
Units And Dimensions
Tissues In Organism
Content / Category
Class / Course
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English
Language - English

Language - English

Language - English
Language - English


Students / Parents Reviews [20]