2-1 POSITION, DISPLACEMENT, AND AVERAGE VELOCITY
After reading this module, you should be able to …
2.01 Identify that if all parts of an object move in the same direction and at the same rate, we can treat the object as if it
were a (point-like) particle. (This chapter is about the motion of such objects.)
2.02 Identify that the position of a particle is its location as
read on a scaled axis, such as an x-axis.
2.03 Apply the relationship between a particle’s
displacement and its initial and final positions.
2.04 Apply the relationship between a particle’s average
velocity, its displacement, and the time interval for that
displacement.
2.05 Apply the relationship between a particle’s average
speed, the total distance it moves, and the time interval for
the motion.
2.06 Given a graph of a particle’s position versus time,
determine the average velocity between any two particular
times.
2-1 POSITION, DISPLACEMENT, AND AVERAGE VELOCITY
After reading this module, you should be able to . . .
2.07 Given a particle’s position as a function of time,
calculate the instantaneous velocity for any particular time.
2.08 Given a graph of a particle’s position versus time, determine the instantaneous velocity for any particular time.
2.09 Identify speed as the magnitude of the instantaneous
velocity.
etc......
dSolution The concept of Derivative is at th.pdftheaksmart2011
Dry Ice., is a manufacturer of air conditioners that has seen its demand grow significantly. The
companyanticipates nationwide demand for the next year to be 180,000 units in the South,
120,000 units inin the Midwest, 110,000 units in the East, and 100,000 units in the West.
Managers at DryIce are designingthe manufacturing network and have selected four potential
sites-- New York, Atlanta, Chicago, and San DiegoPlants could have a capacity of either 200,000
or 400,000 units. The annual fixed costs are at the four locations areshown in the Table, along
with the cost of producing and shipping an air conditioner to each of the four markets.Where
should DryIce build its factories and how large should they be?Dry Ice., is a manufacturer of air
conditioners that has seen its demand grow significantly. The companyanticipates nationwide
demand for the next year to be 180,000 units in the South, 120,000 units inin the Midwest,
110,000 units in the East, and 100,000 units in the West. Managers at DryIce are designingthe
manufacturing network and have selected four potential sites-- New York, Atlanta, Chicago,
and San DiegoPlants could have a capacity of either 200,000 or 400,000 units. The annual fixed
costs are at the four locations areshown in the Table, along with the cost of producing and
shipping an air conditioner to each of the four markets.Where should DryIce build its factories
and how large should they be?
Solution
If the fixed cost is not taken into consideration then,
Dry Ice has the maximum demand in the south region as: 180,000 units
The company should thus build a plant size of 400,000 units (maximum possible) in order to
satisfy the demand of the regions and earn economies of scale.
The site of the company should be chosen from the factors like: proximity to the markets,
perishable or nonperishable goods, nearness to the warehouse, suppliers convenient etc..
Welcome to the fascinating world of Work, Energy, and Power! In the realm of physics, these concepts form the cornerstone of understanding how objects interact with each other and how energy is transformed within systems. From the motion of everyday objects to the dynamics of celestial bodies, the principles of work, energy, and power are ubiquitous, shaping the very fabric of the universe.
For more information, visit-www.vavaclasses.com
2-1 POSITION, DISPLACEMENT, AND AVERAGE VELOCITY
After reading this module, you should be able to …
2.01 Identify that if all parts of an object move in the same direction and at the same rate, we can treat the object as if it
were a (point-like) particle. (This chapter is about the motion of such objects.)
2.02 Identify that the position of a particle is its location as
read on a scaled axis, such as an x-axis.
2.03 Apply the relationship between a particle’s
displacement and its initial and final positions.
2.04 Apply the relationship between a particle’s average
velocity, its displacement, and the time interval for that
displacement.
2.05 Apply the relationship between a particle’s average
speed, the total distance it moves, and the time interval for
the motion.
2.06 Given a graph of a particle’s position versus time,
determine the average velocity between any two particular
times.
2-1 POSITION, DISPLACEMENT, AND AVERAGE VELOCITY
After reading this module, you should be able to . . .
2.07 Given a particle’s position as a function of time,
calculate the instantaneous velocity for any particular time.
2.08 Given a graph of a particle’s position versus time, determine the instantaneous velocity for any particular time.
2.09 Identify speed as the magnitude of the instantaneous
velocity.
etc......
dSolution The concept of Derivative is at th.pdftheaksmart2011
Dry Ice., is a manufacturer of air conditioners that has seen its demand grow significantly. The
companyanticipates nationwide demand for the next year to be 180,000 units in the South,
120,000 units inin the Midwest, 110,000 units in the East, and 100,000 units in the West.
Managers at DryIce are designingthe manufacturing network and have selected four potential
sites-- New York, Atlanta, Chicago, and San DiegoPlants could have a capacity of either 200,000
or 400,000 units. The annual fixed costs are at the four locations areshown in the Table, along
with the cost of producing and shipping an air conditioner to each of the four markets.Where
should DryIce build its factories and how large should they be?Dry Ice., is a manufacturer of air
conditioners that has seen its demand grow significantly. The companyanticipates nationwide
demand for the next year to be 180,000 units in the South, 120,000 units inin the Midwest,
110,000 units in the East, and 100,000 units in the West. Managers at DryIce are designingthe
manufacturing network and have selected four potential sites-- New York, Atlanta, Chicago,
and San DiegoPlants could have a capacity of either 200,000 or 400,000 units. The annual fixed
costs are at the four locations areshown in the Table, along with the cost of producing and
shipping an air conditioner to each of the four markets.Where should DryIce build its factories
and how large should they be?
Solution
If the fixed cost is not taken into consideration then,
Dry Ice has the maximum demand in the south region as: 180,000 units
The company should thus build a plant size of 400,000 units (maximum possible) in order to
satisfy the demand of the regions and earn economies of scale.
The site of the company should be chosen from the factors like: proximity to the markets,
perishable or nonperishable goods, nearness to the warehouse, suppliers convenient etc..
Welcome to the fascinating world of Work, Energy, and Power! In the realm of physics, these concepts form the cornerstone of understanding how objects interact with each other and how energy is transformed within systems. From the motion of everyday objects to the dynamics of celestial bodies, the principles of work, energy, and power are ubiquitous, shaping the very fabric of the universe.
For more information, visit-www.vavaclasses.com
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
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2. If an object moves relative to a reference frame (for
example, if a professor moves to the right relative
to a white board or a
passenger moves toward the rear of an airplane),
then the object’s position changes. This change in
position is known as
displacement. The word “displacement” implies
that an object has moved, or has been displaced.
3. Displacement
Displacement is the change in position of an object:
Δx = xf − x0,
where Δx is displacement, xf is the final position, and x0 is
the initial position.
In this text the upper case Greek letter Δ (delta) always
means “change in” whatever quantity follows it; thus, Δx
means
change in position. Always solve for displacement by
subtracting initial position x0 from final position xf .
4.
5.
6. Note that displacement has a direction as well as a
magnitude. The professor’s displacement is 2.0 m to
the right, and the airline
passenger’s displacement is 4.0 m toward the rear.
7. In one-dimensional motion, direction can be
specified with a plus or minus
sign. When you begin a problem, you
should select which direction is positive
(usually that will be to the right or up, but
you are
free to select positive as being any
direction).
10. In this coordinate system, motion to the right is
positive, whereas motion to the left is negative.
Similarly, the airplane
passenger’s initial position is x0 = 6.0 m and
his final position is xf = 2.0 m , so his
displacement is
Δx = xf −x0 = 2.0 m − 6.0 m = −4.0 m.
11. His displacement is negative because his motion
is toward the rear of the plane, or in the negative
x direction in our coordinate
system