SlideShare a Scribd company logo
1 of 26
1
Brick

Stable?
Warm

Cold

Cold

Warm
Warm
Cold
Warm
Cold
 inversion layer, stable?
Q: Why does the temperature increase with height in the stratosphere?
 contains ozone layer  peak concentrations are at about 20-30 km
 Ozone absorbs ultraviolet radiation (UV)
 The ozone then reemits this energy in the form of heat into the
stratosphere, warming it up in the mid-upper parts of the layer
 97% of atmospheric ozone is in the stratosphere

Ozone maximum
Bounded by the stratopause from below and the mesopause from above

99.9 % of air is below this level
 The layer above the mesosphere
 Temperature increases with height
NYC daily Weather
Temperature
dew point temperature
Relative humidity
Wind
Rain

Weather Elements
Climate is the
long-term average
of weather
“Climate is what you
expect, weather is what you
get.”
– Robert Heinlein
Is Weather or Climate ?
Ice Age?  Climate
Today’s Temperature in NYC?  Weather
Tornado?  Weather
Winter temperature?  Climate
Annual variability of precipitation in NYC?  Climate
Climate change usually refers to
temperature change
Temperature
Energy
is defined as the ability to do work

=

1

mv

2

m

m ass

v

velo city

2

 kinetic energy is the energy of motion
 kinetic energy is large when velocity is large
m = mass

1
e1

1
2

i

2
2
1 1

mv

1

e2

2

m2v

2
2

1

ei

2

v = velocity
2

m i vi

e

1

mv

2

2
kin etic en erg y

1
k BT

1

2

2
1 1

mv

1

m2v

2

mv

2

2

2

kB is the Boltzmann constant

2
2

1
2

m3v

2
3

...

1
2

N

miv

2
i

...

1
2

2

m N vN
Temperature and Heat
Absolute temperature 
is proportional to the average kinetic energy of
its constitute atoms and molecules

Heat  energy exchange from one object to another

What is difference between temperature and heat?
Object 1

Object 2

Heat = an exchange of kinetic energy

Equilibrium = Both objects have the same temperature
Heat

 Latent Heat
energy required for a substance (i. e. water) to change
from one state to another at constant temperature

 Sensible Heat
heat added or taken from a gas, liquid or solid that
causes a change in temperature
Need energy

Need energy

release energy

release energy

Lecture 4- 20
scale

melting
point of ice

boiling point
of water

Fahrenheit
(oF)

32

212

Celsius
(oC)

0

100

Kelvin
(K)

273

373

• Relative size of a degree F vs. a degree C--compare
the number of degrees between freezing and boiling:
100oC = 180oF
1oC = 1.8oF
Temperature Scales:

Fahrenheit and Celsius

(oC x 1.8) + 32 = oF
(oF - 32) / 1.8 = oC
Why Kelvin temperature is also
called absolute temperature?

Third Law of Thermodynamics
It is impossible to cool a body to
absolute zero by any finite
process.

Although one can approach absolute
zero as closely as one desires, one
cannot actually reach this limit.
There are three ways of heat transfer in the atmosphere
Heat Transfer
 Conduction
 from warm to cold
 from molecular motions

Air is a poor conductor of heat
 Basically insignificant
 Convection
transfer energy through mass movement of a substance
Q: what are examples of atmospheric convection?
consider a hot parcel of air near the ground
what is the parcel going to do?

Thermals

It’s going to rise, why?
a thermal is formed
Q: By which mechanism is the
heat transferred from ground to
the air adjacent to the ground?

Lecture 4- 26

More Related Content

What's hot

Earth science 18.2
Earth science 18.2Earth science 18.2
Earth science 18.2
Tamara
 
Ch 12&13 Heat And Temperature
Ch 12&13 Heat And TemperatureCh 12&13 Heat And Temperature
Ch 12&13 Heat And Temperature
ggpg241989
 

What's hot (20)

Ch17_Moisture_students
Ch17_Moisture_studentsCh17_Moisture_students
Ch17_Moisture_students
 
3. Principles of thermal design
3. Principles of thermal design3. Principles of thermal design
3. Principles of thermal design
 
heat
heat heat
heat
 
Heat transfer
Heat transferHeat transfer
Heat transfer
 
Earth science 18.2
Earth science 18.2Earth science 18.2
Earth science 18.2
 
Convection
ConvectionConvection
Convection
 
Convection
Convection Convection
Convection
 
ÖNCEL AKADEMİ: SOLID EARTH GEOPHYSICS
ÖNCEL AKADEMİ: SOLID EARTH GEOPHYSICSÖNCEL AKADEMİ: SOLID EARTH GEOPHYSICS
ÖNCEL AKADEMİ: SOLID EARTH GEOPHYSICS
 
Total Weather (in progress)
Total Weather (in progress)Total Weather (in progress)
Total Weather (in progress)
 
Heat grade 7
Heat grade 7 Heat grade 7
Heat grade 7
 
Heat transfer
Heat transferHeat transfer
Heat transfer
 
Heat transfer in human body
Heat transfer in human bodyHeat transfer in human body
Heat transfer in human body
 
04. Heat by Dilip Kumar Chandra
04. Heat by Dilip Kumar Chandra04. Heat by Dilip Kumar Chandra
04. Heat by Dilip Kumar Chandra
 
Principles of heat transfer
Principles of heat transferPrinciples of heat transfer
Principles of heat transfer
 
Heat and Temperature
Heat and TemperatureHeat and Temperature
Heat and Temperature
 
Heat Transfer
Heat TransferHeat Transfer
Heat Transfer
 
Heat exchange process in a building
Heat exchange process in a buildingHeat exchange process in a building
Heat exchange process in a building
 
Ch 12&13 Heat And Temperature
Ch 12&13 Heat And TemperatureCh 12&13 Heat And Temperature
Ch 12&13 Heat And Temperature
 
F4.4.4 gas law
F4.4.4 gas lawF4.4.4 gas law
F4.4.4 gas law
 
Humidity, Lapse rate and Types of Cloud
Humidity, Lapse rate and Types of CloudHumidity, Lapse rate and Types of Cloud
Humidity, Lapse rate and Types of Cloud
 

Similar to Lecture5 sep18-bb

Temperature,Heat, and Energy Transfer
Temperature,Heat, and Energy TransferTemperature,Heat, and Energy Transfer
Temperature,Heat, and Energy Transfer
muguu_908
 
GEOG100--Lecture 05--Atmos energy, temp, weather
GEOG100--Lecture 05--Atmos energy, temp, weatherGEOG100--Lecture 05--Atmos energy, temp, weather
GEOG100--Lecture 05--Atmos energy, temp, weather
angelaorr
 
Chapter 1 - Introduction.pptx
Chapter 1 - Introduction.pptxChapter 1 - Introduction.pptx
Chapter 1 - Introduction.pptx
ssuser7892e7
 
Heat transfer- Pharmaceutical Engineering
Heat transfer- Pharmaceutical EngineeringHeat transfer- Pharmaceutical Engineering
Heat transfer- Pharmaceutical Engineering
Sanchit Dhankhar
 

Similar to Lecture5 sep18-bb (20)

Temperature,Heat, and Energy Transfer
Temperature,Heat, and Energy TransferTemperature,Heat, and Energy Transfer
Temperature,Heat, and Energy Transfer
 
HEAT AND TEMPERATURE-thermodynamics .pptx
HEAT AND TEMPERATURE-thermodynamics .pptxHEAT AND TEMPERATURE-thermodynamics .pptx
HEAT AND TEMPERATURE-thermodynamics .pptx
 
GEOG100--Lecture 05--Atmos energy, temp, weather
GEOG100--Lecture 05--Atmos energy, temp, weatherGEOG100--Lecture 05--Atmos energy, temp, weather
GEOG100--Lecture 05--Atmos energy, temp, weather
 
Physical Geography Lecture 05 - Atmospheric Energy and Global Temps 101216
Physical Geography Lecture 05 - Atmospheric Energy and Global Temps 101216Physical Geography Lecture 05 - Atmospheric Energy and Global Temps 101216
Physical Geography Lecture 05 - Atmospheric Energy and Global Temps 101216
 
Earth's energy and seasons
Earth's energy and seasonsEarth's energy and seasons
Earth's energy and seasons
 
Lecture Atmospheric Temperature
Lecture Atmospheric TemperatureLecture Atmospheric Temperature
Lecture Atmospheric Temperature
 
Hvac psychrometry and concepts
Hvac psychrometry and conceptsHvac psychrometry and concepts
Hvac psychrometry and concepts
 
UNIT 08 HEAT AND THERMODYNAMICS PART 1.pptx
UNIT 08 HEAT AND THERMODYNAMICS PART 1.pptxUNIT 08 HEAT AND THERMODYNAMICS PART 1.pptx
UNIT 08 HEAT AND THERMODYNAMICS PART 1.pptx
 
Heat
HeatHeat
Heat
 
Heat Transfer Basic Laws and their applications in simple language .pdf
Heat Transfer Basic Laws and their applications in simple language .pdfHeat Transfer Basic Laws and their applications in simple language .pdf
Heat Transfer Basic Laws and their applications in simple language .pdf
 
Heat transfer
Heat transferHeat transfer
Heat transfer
 
Hvac for beginners
Hvac for beginnersHvac for beginners
Hvac for beginners
 
SPM Phyiscs - Thermal energy
SPM Phyiscs - Thermal energySPM Phyiscs - Thermal energy
SPM Phyiscs - Thermal energy
 
Chapter_1._Basics_of_Heat_Transfer.pdf
Chapter_1._Basics_of_Heat_Transfer.pdfChapter_1._Basics_of_Heat_Transfer.pdf
Chapter_1._Basics_of_Heat_Transfer.pdf
 
Chapter 1 - Introduction.pptx
Chapter 1 - Introduction.pptxChapter 1 - Introduction.pptx
Chapter 1 - Introduction.pptx
 
The Cool Physics Of Heat
The Cool Physics Of HeatThe Cool Physics Of Heat
The Cool Physics Of Heat
 
Basic thermodynamics dr vijaya shastry
Basic thermodynamics dr vijaya shastryBasic thermodynamics dr vijaya shastry
Basic thermodynamics dr vijaya shastry
 
Heat transfer- Pharmaceutical Engineering
Heat transfer- Pharmaceutical EngineeringHeat transfer- Pharmaceutical Engineering
Heat transfer- Pharmaceutical Engineering
 
Lecture 6 heat
Lecture 6   heatLecture 6   heat
Lecture 6 heat
 
Thermodynamics & its application
Thermodynamics & its applicationThermodynamics & its application
Thermodynamics & its application
 

More from Peter Shiv

Lecture20 nov25-bb
Lecture20 nov25-bbLecture20 nov25-bb
Lecture20 nov25-bb
Peter Shiv
 
Lecture19 nov20-bb
Lecture19 nov20-bbLecture19 nov20-bb
Lecture19 nov20-bb
Peter Shiv
 
Lecture17 nov13-bb
Lecture17 nov13-bbLecture17 nov13-bb
Lecture17 nov13-bb
Peter Shiv
 
Lecture15 oct30-bb
Lecture15 oct30-bbLecture15 oct30-bb
Lecture15 oct30-bb
Peter Shiv
 
Lecture14 oct28-bb
Lecture14 oct28-bbLecture14 oct28-bb
Lecture14 oct28-bb
Peter Shiv
 
Lecture13 oct23-bb(1)
Lecture13 oct23-bb(1)Lecture13 oct23-bb(1)
Lecture13 oct23-bb(1)
Peter Shiv
 
Lecture12 oct21-bb (1)
Lecture12 oct21-bb (1)Lecture12 oct21-bb (1)
Lecture12 oct21-bb (1)
Peter Shiv
 
Lecture11 oct16-bb
Lecture11 oct16-bbLecture11 oct16-bb
Lecture11 oct16-bb
Peter Shiv
 
Lecture10 oct15-bb
Lecture10 oct15-bbLecture10 oct15-bb
Lecture10 oct15-bb
Peter Shiv
 
Lecture9 oct9-bb
Lecture9 oct9-bbLecture9 oct9-bb
Lecture9 oct9-bb
Peter Shiv
 
Lecture8 sep30-bb (1)
Lecture8 sep30-bb (1)Lecture8 sep30-bb (1)
Lecture8 sep30-bb (1)
Peter Shiv
 
Lecture7 sep25-bb (1)
Lecture7 sep25-bb (1)Lecture7 sep25-bb (1)
Lecture7 sep25-bb (1)
Peter Shiv
 
Lecture6 sep23-bb (1)
Lecture6 sep23-bb (1)Lecture6 sep23-bb (1)
Lecture6 sep23-bb (1)
Peter Shiv
 
Lecture4 sep16-bb
Lecture4 sep16-bbLecture4 sep16-bb
Lecture4 sep16-bb
Peter Shiv
 
Lecture2 sep9-bb (1)
Lecture2 sep9-bb (1)Lecture2 sep9-bb (1)
Lecture2 sep9-bb (1)
Peter Shiv
 
Lecture1 aug28-bb
Lecture1 aug28-bbLecture1 aug28-bb
Lecture1 aug28-bb
Peter Shiv
 
Lecture21 dec2-bb
Lecture21 dec2-bbLecture21 dec2-bb
Lecture21 dec2-bb
Peter Shiv
 

More from Peter Shiv (17)

Lecture20 nov25-bb
Lecture20 nov25-bbLecture20 nov25-bb
Lecture20 nov25-bb
 
Lecture19 nov20-bb
Lecture19 nov20-bbLecture19 nov20-bb
Lecture19 nov20-bb
 
Lecture17 nov13-bb
Lecture17 nov13-bbLecture17 nov13-bb
Lecture17 nov13-bb
 
Lecture15 oct30-bb
Lecture15 oct30-bbLecture15 oct30-bb
Lecture15 oct30-bb
 
Lecture14 oct28-bb
Lecture14 oct28-bbLecture14 oct28-bb
Lecture14 oct28-bb
 
Lecture13 oct23-bb(1)
Lecture13 oct23-bb(1)Lecture13 oct23-bb(1)
Lecture13 oct23-bb(1)
 
Lecture12 oct21-bb (1)
Lecture12 oct21-bb (1)Lecture12 oct21-bb (1)
Lecture12 oct21-bb (1)
 
Lecture11 oct16-bb
Lecture11 oct16-bbLecture11 oct16-bb
Lecture11 oct16-bb
 
Lecture10 oct15-bb
Lecture10 oct15-bbLecture10 oct15-bb
Lecture10 oct15-bb
 
Lecture9 oct9-bb
Lecture9 oct9-bbLecture9 oct9-bb
Lecture9 oct9-bb
 
Lecture8 sep30-bb (1)
Lecture8 sep30-bb (1)Lecture8 sep30-bb (1)
Lecture8 sep30-bb (1)
 
Lecture7 sep25-bb (1)
Lecture7 sep25-bb (1)Lecture7 sep25-bb (1)
Lecture7 sep25-bb (1)
 
Lecture6 sep23-bb (1)
Lecture6 sep23-bb (1)Lecture6 sep23-bb (1)
Lecture6 sep23-bb (1)
 
Lecture4 sep16-bb
Lecture4 sep16-bbLecture4 sep16-bb
Lecture4 sep16-bb
 
Lecture2 sep9-bb (1)
Lecture2 sep9-bb (1)Lecture2 sep9-bb (1)
Lecture2 sep9-bb (1)
 
Lecture1 aug28-bb
Lecture1 aug28-bbLecture1 aug28-bb
Lecture1 aug28-bb
 
Lecture21 dec2-bb
Lecture21 dec2-bbLecture21 dec2-bb
Lecture21 dec2-bb
 

Recently uploaded

Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
panagenda
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 

Recently uploaded (20)

DBX First Quarter 2024 Investor Presentation
DBX First Quarter 2024 Investor PresentationDBX First Quarter 2024 Investor Presentation
DBX First Quarter 2024 Investor Presentation
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
 
FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024
 
Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
 
Introduction to Multilingual Retrieval Augmented Generation (RAG)
Introduction to Multilingual Retrieval Augmented Generation (RAG)Introduction to Multilingual Retrieval Augmented Generation (RAG)
Introduction to Multilingual Retrieval Augmented Generation (RAG)
 
Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...
 
Mcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot Model
Mcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot ModelMcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot Model
Mcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot Model
 
Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...
Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...
Biography Of Angeliki Cooney | Senior Vice President Life Sciences | Albany, ...
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
Strategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a FresherStrategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a Fresher
 
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
 
presentation ICT roal in 21st century education
presentation ICT roal in 21st century educationpresentation ICT roal in 21st century education
presentation ICT roal in 21st century education
 
CNIC Information System with Pakdata Cf In Pakistan
CNIC Information System with Pakdata Cf In PakistanCNIC Information System with Pakdata Cf In Pakistan
CNIC Information System with Pakdata Cf In Pakistan
 
Platformless Horizons for Digital Adaptability
Platformless Horizons for Digital AdaptabilityPlatformless Horizons for Digital Adaptability
Platformless Horizons for Digital Adaptability
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of Terraform
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : Uncertainty
 
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
 
Six Myths about Ontologies: The Basics of Formal Ontology
Six Myths about Ontologies: The Basics of Formal OntologySix Myths about Ontologies: The Basics of Formal Ontology
Six Myths about Ontologies: The Basics of Formal Ontology
 
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 

Lecture5 sep18-bb

  • 1. 1
  • 6.  inversion layer, stable? Q: Why does the temperature increase with height in the stratosphere?  contains ozone layer  peak concentrations are at about 20-30 km  Ozone absorbs ultraviolet radiation (UV)  The ozone then reemits this energy in the form of heat into the stratosphere, warming it up in the mid-upper parts of the layer  97% of atmospheric ozone is in the stratosphere Ozone maximum
  • 7. Bounded by the stratopause from below and the mesopause from above 99.9 % of air is below this level
  • 8.  The layer above the mesosphere  Temperature increases with height
  • 9.
  • 10. NYC daily Weather Temperature dew point temperature Relative humidity Wind Rain Weather Elements
  • 11. Climate is the long-term average of weather “Climate is what you expect, weather is what you get.” – Robert Heinlein
  • 12. Is Weather or Climate ? Ice Age?  Climate Today’s Temperature in NYC?  Weather Tornado?  Weather Winter temperature?  Climate Annual variability of precipitation in NYC?  Climate
  • 13. Climate change usually refers to temperature change
  • 15. Energy is defined as the ability to do work = 1 mv 2 m m ass v velo city 2  kinetic energy is the energy of motion  kinetic energy is large when velocity is large
  • 16. m = mass 1 e1 1 2 i 2 2 1 1 mv 1 e2 2 m2v 2 2 1 ei 2 v = velocity 2 m i vi e 1 mv 2 2 kin etic en erg y 1 k BT 1 2 2 1 1 mv 1 m2v 2 mv 2 2 2 kB is the Boltzmann constant 2 2 1 2 m3v 2 3 ... 1 2 N miv 2 i ... 1 2 2 m N vN
  • 17. Temperature and Heat Absolute temperature  is proportional to the average kinetic energy of its constitute atoms and molecules Heat  energy exchange from one object to another What is difference between temperature and heat?
  • 18. Object 1 Object 2 Heat = an exchange of kinetic energy Equilibrium = Both objects have the same temperature
  • 19. Heat  Latent Heat energy required for a substance (i. e. water) to change from one state to another at constant temperature  Sensible Heat heat added or taken from a gas, liquid or solid that causes a change in temperature
  • 20. Need energy Need energy release energy release energy Lecture 4- 20
  • 21. scale melting point of ice boiling point of water Fahrenheit (oF) 32 212 Celsius (oC) 0 100 Kelvin (K) 273 373 • Relative size of a degree F vs. a degree C--compare the number of degrees between freezing and boiling: 100oC = 180oF 1oC = 1.8oF
  • 22. Temperature Scales: Fahrenheit and Celsius (oC x 1.8) + 32 = oF (oF - 32) / 1.8 = oC
  • 23. Why Kelvin temperature is also called absolute temperature? Third Law of Thermodynamics It is impossible to cool a body to absolute zero by any finite process. Although one can approach absolute zero as closely as one desires, one cannot actually reach this limit.
  • 24. There are three ways of heat transfer in the atmosphere
  • 25. Heat Transfer  Conduction  from warm to cold  from molecular motions Air is a poor conductor of heat  Basically insignificant
  • 26.  Convection transfer energy through mass movement of a substance Q: what are examples of atmospheric convection? consider a hot parcel of air near the ground what is the parcel going to do? Thermals It’s going to rise, why? a thermal is formed Q: By which mechanism is the heat transferred from ground to the air adjacent to the ground? Lecture 4- 26