For time t≥0 , the acceleration of an object moving in a straight line is given by a(t)=sin(t23). what is the net change in velocity from time t=0. 75 to time t=2. 25 ?
The net change in velocity during the given time interval is equal to -0.665.
Given the following data:
Initial time = 0.75 seconds.Final time = 2.25 seconds.Acceleration, [tex]a(t) = sin(\frac{t^2}{3} )[/tex]How to calculate the net change in velocity.Since acceleration is the rate of change of velocity of an object, we would derive an expression for the velocity by differentiating with respect to time:
[tex]V(t) = \frac{d}{dt} a(t)\\\\V(t) = \frac{d}{dt} (sin(\frac{t^2}{3} ))\\\\V(t) = cos( \frac{t^2}{3})(\frac{2t}{3})\\\\V(t) = \frac{2t}{3}cos( \frac{t^2}{3})[/tex]
Substituting the time interval, we have:
[tex]V(t) = \frac{2\times 2.25}{3}cos( \frac{2.25^2}{3})- \frac{2\times 0.75}{3}cos( \frac{0.75^2}{3})\\\\V(t) = \frac{4.5}{3}cos( \frac{5.0625}{3})- \frac{1.5}{3}cos( \frac{0.5625}{3})\\\\V(t) =1.5(-0.11643)-0.5(0.98247)[/tex]
V(t) = -0.665.
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Help me I need a five - paragraph essay about an opinion on Your principal wants to invite a special guest to speak to all the students about the value of hard work and is trying to decide which person to bring in: a scientist or an athlete. Which speaker would you pick to come to your school to talk about the value of hard work, and why?
Answer:
The principal is very skeptical about this decision because if the decision she makes is athlete, he will make a speech about physical aspects, most likely, and if the choice is the scientist, then he will talk about science and academic aspects, probably. Both of these are excellent, but if the speech is about both, the athlete will be more reliable. And if the students are not very good at studies, the scientist is better, speaking he can teach a lot more than the athlete, who can do both pretty good. So, the choice is difficult.
First and foremost, an official athlete will teach the school about work ethics like dedication which is good for both grades and physical stuff. But, sadly, it will be targeted at physical aspects and might be slightly poor. However, the athlete can teach the students so very well that they excel. So, the athlete is an excellent choice.
The scientist is better academically, but not in the field of hard work. The athlete is better at that field. But, the scientist can teach them a little about the EDP, which relates to work ethics more specifically. It also talks about the importance of determination, which is a key concept in hard work. The question remains: which should the principal invite?
The principal should invite the athlete because he has more experience in hard work and is less of the office and science sort of work style. The athlete also doesn't go to a job and sit down for eight hours, and therefore knows more about hard work. The scientist would be more helpful for stuff like determination or patience, more of which show up in scientific occupations of study.
The principal had a tricky decision, but now she knows the answer to it, athlete! The scientist is great, but in this case, the athlete is better. We have seen each in their respected career and evaluated what they will most likely teach, and finally chose the best option.
The most important supplier that a meetings and special events planner works with is caterers.
O True
O False
A model rocket is launched vertically into the air such that its height
An explorer plans a mission to place a satellite into a circular orbit around the planet jupiter
Up till October 2019, the number of moons known for each of the four outer planets, the further paragraphs explain the orbiting of Jupiter.
How many satellites do you think are orbiting Jupiter?Up till October 2019, the number of moons known for each of the four outer planets. There are currently 80 recognized satellites orbiting Jupiter.
A project to send a satellite into a circular orbit around Jupiter is planned by an explorer. The satellite's orbit should be aligned with Jupiter's spin, according to the explorer.
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BetterCook, a profit-maximizing firm, has a patent on a kitchen appliance, making it the only producer of that appliance. The graph above shows BetterCook’s demand, marginal revenue, average total cost, average variable cost, and marginal cost curves.
Answer:
average variable cost
Explanation:
Average variable costs are significant because they play a big role in a company's decision to stay in business or not. To be more precise, the firm must operate profitably going forward if the average variable cost is less than the marginal revenue. Thus, option C is correct.
What best about average variable cost?The variable cost per unit is referred to as the average variable cost in economics.It is possible to figure out the average variable cost by dividing the total variable cost by the output. The enterprises use the average variable cost to decide when to halt short-term manufacturing.
Average variable costs are significant because they enable businesses to assess their financial position and determine if they are profitable enough to continue operations.
Therefore, The graph above shows about average variable cost.
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e-subject notebooks cost $3.60 for 6 or $5.50 for 10. Is it possible to write one equation to find the total cost, c, for n notebooks? Explain your answer.
We cannot write a mathematical equation for the two conditions, however a computer program can wok out the condition and given the right output
Mathematical EquationsThe main reason why a single mathematical equation cannot work in this case is because the cost is not fixed, and the number of books also changes, hence two variable value.
In this type of condition a computer program will work best by setting a condition based on the number of books to be purchase, of 6 the price should be $3.60 and if 10 the price should be $5.5
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Office parks are MOST LIKELY to be found in areas dominated by which sector of the economy?
Primary
Secondary
Tertiary
Quaternary
Quinary
Answer:
Quaternary
Explanation:
The Raft of the Medusa by Theodore Gericault. A raft crafted from the destroyed ship Medusa floats at sea with living and dead bodies.
Why is the above painting representative of the Romantic period?
a.
It contains a high contrast of light and dark.
b.
It is highly emotional, idealized, and full of feeling.
c.
It depicts a scene of love.
d.
all of the above
Answer:
a It contains a high contrast of light and dark.
Explanation:
Why is the role of an interest group leader similar to that of an entrepreneur?
The role of an interest group leader is similar to that of an entrepreneur such that they are both involved in promoting the interests and concerns of members and coordination of workers.
Who is an Entrepreneur?This refers to an individual who creates a new business and bears most of the risk.
This individual ensures that the workers interest and concerns are promoted so as to ensure a conducive working environment and profit maximization which is also similar to the role an interest group leader does.
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4. Changing World Technologies has built a pilot plant to
test a process it has developed for converting a mixture of
computers, old tires, turkey bones and feathers, and other
wastes into oil by mimicking and speeding up natural
processes for converting biomass into oil. If this recycling
process turns out to be technologically and economically
feasible, explain why it could increase waste production.
I
When recycling process is technologically and economically feasible, It can help lower energy consumption, lower water and energy use but it could increase waste production as more focus will be towards recycling and a lot of people will tend to dispose things they don't need.
How does recycling benefit the economy?Recycling is known to be a vital part of the U.S. economy. It is known to be a factor that has lead to more jobs, wages and government tax revenue.
The Economic and community benefits of this process is the increase of economic security through the use of domestic resource, aiding American manufacturing and producing jobs in the recycling industries.
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Which of the following claims does the excerpt make about changes that occurred as a result of new interactions in the atlantic region
Answer:B Europrans developed new methods of conducting trade and making profit.
The statement that in excerpt explains changes that occurred as a result of new interactions in the Atlantic region
B. Europeans developed new methods of conducting trade and making profits.What is the Atlantic region?The ocean of Atlantic borders the Europe, Africa, and the Americas and serves as imporant link during colonization of African and American by the Britain.
However, the statement that in excerpt explains changes that occurred as a result of new interactions in the Atlantic region is thet the Europeans developed new methods of conducting trade and making profits.
Therefore, the Option B is correct.
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Based on the excerpt, the changes that occurred due to new interactions in the Atlantic region is that: Europeans developed new methods of conducting trade and making profits.
What is trade?Trade can be defined as a strategic process that typically involves the buying and selling of goods and services between a producer and the consumers at a specific period of time in a particular geographical region or country.
Historically, European economies were greatly transformed by the Atlantic economy in the early Sixteenth century and as such they had to developed new methods of conducting trade and making profits from their sales.
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What was once a pond filled with bass fish on Tom's parent's farm is now significantly decreased in population. Which of the following could explain the reason for the decrease in the bass population?
a. Drainage from sugar farms has decreased the reproductive rate in fish.
b. Fertilizer runoff contains endocrine disruptors that affect reproduction in fish.
c. Increased photosynthesis causes competition for food resources.
d. Planting sugar cane along the riverbank has created a mass emigration of fish
About how many people displaced by hurricane Katrina are never going back to the Gulf coast?
A)3 million
B)1 million
C)300,000
D)30,000
22 If, in response to an increase in investment of S10 billion.equilibrium income rises by a local of SSO billion, then the marginal propensity to save is (A) 0.1 (B) 0.2 (C) 0.5 (D) 0.8 (E) 0.9.
Answer:
(B) 0.2 ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
why do experts suggest that your emergency savings be in a very liquid savings tool?
So it is accessible if it is needed quickly.
The accompanying diagram represents the human
male reproductive system.
Which pair of letters indicates a structure that
produces gametes and a structure that makes
possible the delivery of gametes for internal
fertilization, respectively?
A. A and D
B. B and A
C. C and A
D. D and C
Answer:
I think A and D
PLEASE HELP ASAP
What are some of the common challenges that countries in the Caribbean, Africa, and Asia faced after an end to colonialism?
US intervention, lack of schools, economic instability
military dictatorships, human rights abuses, economic instability
European intervention, illegal drug cartels, human rights abuses
military dictatorships, illegal drug cartels, loss of service industries
After an end to colonialism, the common challenges that were faced by countries in the Caribbean, Africa, and Asia are: B. military dictatorships, human rights abuses, economic instability.
What is colonialism?Colonialism can be defined as a practice or an act of political and economic domination by a group of people or power from one country over other people or geographical regions that are located in another country, especially by establishing colonies.
Historically, some of the common challenges that that were faced or experienced by countries in the Caribbean, Africa, and Asia faced after an end to colonialism include the following:
Military dictatorshipsHuman rights abusesEconomic instabilityRead more on colonialism here: https://brainly.com/question/8048490
when did scientists discover that dinosaurs got infections
You weigh 175 lb on earth. When you reach alderon, you discover that its gravity is 1. 75 that of earth. What is your weight on alderon?
Answer:
1,362.2 N
Explanation:
1. Find what you have and what you need.
Weight = 175lb 1lb= 4.448N Gravity of Alderon to Earth 1.75:1 Weight on Alderon in N?
2. Convert the units from lb to N and then muliply by 1.23.
[tex]175*4.448*1.75[/tex] = 1,362.2 N
what do concepts do for our thinking?
A. categorize it
B. encode it
C. converge it
D. simplify it
Answer:
C
Explanation:
converge it
when was the microscope invented and by whom? why was this important? nasa
A family is paying to heat their house in Chicago, Illinois. Calculate the cost of heating the house
for one winter. Assume the following:
• The house has 2,000 square feet of living space.
• 100,000 BTUs of heat per square foot are required to heat the house for the winter.
• natural gas is available at a cost of $6.00 per thousand cubic feet
• one cubic foot of natural gas supplies 1,000 BTUs of heat energy
• the furnace in the house is 70% efficient
.
Natural gas is available at a cost of $6.00 per thousand cubic feet.
One cubic foot of natural gas supplies 1,000 BTUs of heat energy.
• The furnace in the house is 70 percent efficient.
If the natural gas is available at a cost of $6.00 per thousand cubic feet. The cost of heating the house is: $1,714.
Cost of heating the houseFirst step is to calculate number of cubic feet of natural gas required to heat the house for one winter.
Number of cubic feet=(2000 ft²)× (100,000 BTU/ft³) ×(1 ft³÷1000 BTU)×(1 BTU(in)÷0.7 BTU (out))
Number of cubic feet = 285,714 ft³
Second step is to calculate the cost of heating the house
Cost of heating the house=(285,714 ft³)× ($6.00÷1000 ft³)
Cost of heating the house=$1,714
Inconclusion the cost of heating the house is: $1,714.
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In a presidential election year, three states decide to change the date of their primary to be months earlier in the
primary season than in years past.
In which of the following ways will this decision most likely affect primaries that occur later in the season?
O Money will be wasted if candidates drop out of the race.
The change in date may fracture political parties and prolong the primary season.
Early voters' votes will not count if their candidates drop out of the race before the primary.
The ballots of later primary states will list names of candidates who are no longer in the race.
Answer:
Early voters' votes will not count if their candidates drop out of the race before the primary.
Answer: C
Explanation:
felicia has reached the end of stage 1 labor. which event happens at the end of stage 1 in a normal delivery?
the umbilical cord is delivered
the cervix dilation reaches 10 cm
the baby passes through the birth canal.
the placenta is delivered
Answer:
it would be the second one, or B.
Explanation:
The uterine contracts first when reaching the end of stage one. please mark as brainlest.
This table shows values for x and y.
Which graph correctly represents the relationship of x and y?
Answer:
Graph D is correct
Explanation:
when did we discover the galilean satellites were ocean worlds
A stretched string fixed at both ends is 2. 0 m long. What are three wavelengths
What should be the ideal debt-equity ratio of an organization?
Answer:
The debt-to-equity ratio should be between 1 and 1.5. However, because some sectors use more debt financing than others, the appropriate debt to equity ratio will vary by industry. Capital-intensive industries, such as finance and manufacturing, sometimes have higher ratios of more than 2.
From what do both the NATO and Warsaw Pact treaties derive their legitimacy?
NATO and Warsaw Pact treaties derive their legitimacy from the Eastern bloc, and Western bloc.
How are the NATO and Warsaw Pact similar?The Warsaw Pact is known to be a pact that is made up of the Eastern bloc, and NATO and its member countries is said to be made up of the Western bloc.
NATO and the Warsaw Pact are said to have similar ideology and they tend to built a lot of separate defenses in terms of beginning an arms race that was said to be in the Cold War.
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