A stationary cheetah saw a gazelle running at 20m/s and the cheetah ran to catch up at 12.5 m/s^2 1.how long did it take the cheetah to catch up 2. How far did the cheetah run

Answers

Answer 1

Answer: The cheetah ran a distance of 50 m and it took 2.83 seconds to catch up.

Explanation: To solve this problem, we need to use the equation of motion:

d = v0t + 0.5at^2

where d is the distance traveled by the cheetah, v0 is the initial velocity (0 m/s), t is the time, and a is the acceleration (12.5 m/s^2).

We can rearrange the equation to solve for t:

t = sqrt((2d) / a) = sqrt((2d) / 12.5)

We know that the gazelle is running at 20 m/s, so we can use this to find d:

d = vt = 20t

Substituting t from the previous equation:

d = 20 * sqrt((2d) / 12.5)

Squaring both sides:

400 = (2d^2) / 12.5

Multiplying both sides by 12.5:

5000 = 2d^2

Taking the square root of both sides:

d = sqrt(5000 / 2) = 50 m

So the cheetah took:

t = sqrt((2d) / a) = sqrt((2 * 50) / 12.5) = sqrt(100 / 12.5) = sqrt(8) = 2.83 s

The cheetah ran a distance of 50 m and it took 2.83 seconds to catch up.

Answer 2

A stationary cheetah saw a gazelle running at 20m/s and the cheetah ran to catch up at 12.5 m/s^2 1.how long did it take the cheetah to catch up 2. The cheetah ran a distance of 50 m and it took 2.83 seconds to catch up.

What is the calculation?

To solve this problem, we need to use the equation of motion:

d = v0t + 0.5at^2

where d is the distance traveled by the cheetah, v0 is the initial velocity (0 m/s), t is the time, and a is the acceleration (12.5 m/s^2).

We can rearrange the equation to solve for t:

t = sqrt((2d) / a) = sqrt((2d) / 12.5)

We know that the gazelle is running at 20 m/s, so we can use this to find d:

d = vt = 20t

Substituting t from the previous equation:

d = 20 * sqrt((2d) / 12.5)

Squaring both sides

400 = (2d^2) / 12.5

Multiplying both sides by 12.5:

5000 = 2d^2

Taking the square root of both sides:

d = sqrt(5000 / 2) = 50 m

So the cheetah took:

t = sqrt((2d) / a) = sqrt((2 * 50) / 12.5) = sqrt(100 / 12.5) = sqrt(8) = 2.83 s

The cheetah ran a distance of 50 m and it took 2.83 seconds to catch up.

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Related Questions

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Describe the "new international division of labor.” What role do countries at different levels of development play in this new system? How do transnational corporations take advantage of this system?

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The new international division of labor refers to the shifting distribution of economic activities and industries among countries that results from globalization and technological changes. In this new system, countries at different levels of development play different roles based on their comparative advantages, such as their access to resources, labor force, technology, and market size.

Countries at the lower end of development, often referred to as "developing" or "emerging" countries, tend to focus on labor-intensive and low-tech industries, such as manufacturing and assembly, where their low wages provide a competitive advantage. These countries also serve as important sources of raw materials and natural resources for developed countries.

On the other hand, developed countries, often referred to as "developed" or "industrialized" countries, tend to specialize in high-tech and capital-intensive industries, such as finance, research and development, and information technology, where their highly educated workforce and advanced infrastructure provide a competitive advantage.

This new international division of labor has significant implications for the economies and societies of both developed and developing countries. While it has created opportunities for growth and development in developing countries, it has also led to concerns about labor exploitation, wage stagnation, and income inequality. The role of developed and developing countries in this new system continues to be a subject of debate and discussion in the fields of economics and international relations.

Transnational corporations (TNCs) are able to take advantage of the new international division of labor by exploiting the differences in wages, regulations, and taxes between countries. By operating in multiple countries, TNCs can access different sources of low-cost labor, reduce their costs, and increase their profits.

TNCs often use their vast economic power and influence to lobby for favorable policies and regulations in different countries. For example, they may negotiate tax breaks or favorable trade agreements that enable them to operate with fewer restrictions and lower costs. They may also move their operations from one country to another in search of lower wages and weaker labor laws, a practice known as "outsourcing."

TNCs also benefit from the globalization of trade and investment, which has created larger and more integrated markets that enable them to increase their scale of operations and reach new customers. They are also able to take advantage of advances in communication and transportation technologies, which have made it easier to manage their global operations and reduce their costs.

However, TNCs' exploitation of the new international division of labor has also led to concerns about the negative impacts on workers and the environment. For example, TNCs' pursuit of low-cost labor has led to job losses and wage stagnation in developed countries, while their operations in developing countries have often been associated with environmental degradation, human rights violations, and corruption. The role of TNCs in the new international division of labor continues to be a subject of public debate and policy discussion.

The increasing cost of college has led some people to call for tuition-free college. Others want to understand why college costs so much and is therefore unaffordable for students. Write an argumentative essay that presents your position on the cost of college. Develop an effective and persuasive line of reasoning that supports your position with evidence and commentary. Create an appropriate tone and style through word choice, comparisons, and syntax. Research the topic and use the text sources found on pp. 841–856 of your textbook.

Answers

The argumentative essay that presents your position on the cost of college is given below.

What is the argumentative essay?

The cost of college has been a contentious issue for many years. Some argue that it is too high, while others believe that it is reasonable considering the benefits that come with a college education. In my opinion, the cost of college is too high and needs to be addressed.

Firstly, the cost of college has increased drastically in recent years. According to CollegeBoard, the average cost of tuition and fees for the 2021-2022 academic year was $41,820 at private colleges, $11,890 for state residents at public colleges, and $26,820 for out-of-state residents attending public colleges.

Secondly, the high cost of college is preventing many students from pursuing a higher education. According to a survey conducted by the Institute for College Access and Success, the average student loan debt for college graduates in the class of 2020 was $31,000. This is a significant amount of debt for young adults who are just starting their careers, and it can have a lasting impact on their financial stability.

In conclusion, the cost of college is too high and needs to be addressed. It is preventing many students from pursuing a higher education, exacerbating income inequality, and having a lasting impact on the financial stability of young adults.

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what caused the spread of buddaism to china

Answers

Answer:

It was brought to China by Buddhist monks from India during the latter part of the Han dynasty (ca. 150 CE) and took over a century to become assimilated into Chinese culture.

Explanation:

PLEASE HELP!!!!! I need this done soon. Please don't be one of those that answers for the points or anything please!!
2. Examine the data and then respond to questions A, B, and C:
DATA IS ATTACHED!!
Draw a single conclusion that is supported by all three graphs. What are the data most clearly trying to show? Explain your answer.
Explain how the data shed light on the idea that the Supreme Court is sometimes "liberal" and sometimes "conservative." What context does the data give this notion that is not otherwise obvious? Support your explanation.
Draw a conclusion about judicial activism or judicial restraint that is supported by the data shown. Explain the connection between the data and your conclusion.

Answers

The graph shows the decision regarding the way judicial information was presented. This was with the influence that was given to the citizens.

What is a graph?

A schematic or visual presentation that organizes the depiction of data or quantities is known as a graph. The relationships connecting two or more objects are frequently represented by the spots on a graph. They are employed to arrange data in order to highlight correlations and patterns.

The data will allow the voters to the margin that was there. There was with the location pog the voters and the voting trend. There is also the variation that will represent with the trend that was with the case of the different year.

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What are one or two products that might benefit from Beyonce endorsements as well as several that might not

Answers

Answer: Edward Snowden Lin- Manuel Miranda Beyonce Tom Brady Venus Williams

Explanation:

3. Why is Mexican prosperity and stability resulting from the signing of NAFTA
considered of vital interest to the U.S

Answers

Answer: The Mexican prosperity and stability resulting from the signing of the North American Free Trade Agreement (NAFTA) is considered of vital interest to the United States for several reasons:

Improved Economic Relations: NAFTA has helped to increase trade between the United States, Mexico, and Canada, leading to economic growth and stability in the region. This, in turn, has resulted in increased prosperity in Mexico, making it a stronger and more stable trading partner for the United States.

Enhanced Security: A stable and prosperous Mexico is in the best interest of the United States from a security standpoint. NAFTA has helped to improve the economic conditions in Mexico, reducing poverty and providing greater economic opportunities. This has reduced the incentive for Mexicans to migrate to the United States, thereby reducing illegal immigration and the associated security risks.

Access to New Markets: NAFTA has opened up new markets for the United States and provided access to a growing Mexican economy. This has allowed American businesses to expand their reach and tap into new opportunities.

Mutual Benefits: NAFTA has provided mutual benefits to the United States and Mexico. The agreement has helped to spur economic growth and job creation in both countries, strengthening their economic ties and making them more interdependent.

Therefore, the Mexican prosperity and stability resulting from NAFTA is considered of vital interest to the United States, as it supports economic growth, enhances security, provides access to new markets, and offers mutual benefits to both countries.

A teacher has decided to take her Psychology classes on a trip to Fiji. She has recently come into a large sum of money after an unfortunate work-related injury involving three wheelie chairs and a huddle board. The teacher purchases a private jet and procures a pilot license for the occasion. Mid-flight, the teacher accidentally spills a mug of coffee on the cockpit controls to the chagrin of everyone on board, especially her co-pilot. This results in a crash landing on a seemingly uninhabited island in the South Pacific. Everyone was able to survive the crash, but now they are faced with the task of trying to survive on the island.

Directions: create a story or scenario to explain how the stranded group might struggle to achieve each level of needs on Maslow’s hierarchy, beginning at the bottom with physiological needs and working your way up. You must describe each level of needs by name and provide specific examples of how that need could be met on the island

AP physcology

Answers

Answer:

asdasdasd

Explanation:

Basic survival needs must be met before he or she can address more complex needs.

What is Maslow's hierarchy?

Maslow's hierarchy of needs can be illustrated as a pyramid of necessities that build on the previous. This means that each category in the hierarchy is a prerequisite for the other.

At the very bottom, survival needs like having food, and a place to live is essential so the individual can then ascend in the stair of needs. Maslow identifies that at the bottom the physiological needs need to be fully satisfied then secondary needs and tertiary means will arise as a consequence.

Therefore, Basic survival needs must be met before he or she can address more complex needs.

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Based on your results from the personal online study skills assessment in the Online Content, what specific study skills do you plan to focus on, or improve, with the help from this class? why are these particular skills important to you?

Answers

Here are some specific study skills that can be used to enhance online study skills assessment:

Time Management: create a schedule and stick to it to ensure enough time is dedicated to studying and completing assessments.

Active Listening: pay close attention to lectures and discussions to better understand and retain information.

More Study Skills

Note-Taking: take organized and concise notes during lectures and while reading materials to aid in recall and comprehension.

Practice and Repetition: regularly practice and review information to strengthen memory and mastery of the material.

Study Groups: join or create virtual study groups to discuss and review course material with peers.

The given information is a general overview for you as you did not include the past results from your previous class.

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