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 ?

Answers

Answer 1

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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Answer:

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Hope this helps!

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please give direct answer :) thanks

Answers

Answer:

B) Reinforcer

I'd say B is your answer

Hope it helps

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Answer:

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Explanation:

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Answers

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Answer:

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Answer:

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Answer:

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Answer:

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Answer:

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Answer:

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Answer:

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There are a lot of issues affecting my community but the key aspect is lack of pipe born water. The Letter is written below.

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A severe, sustained increase in oil prices would most likely cause short-fun and long-run aggregate supply curves and the production possibilities curve to change in which of the following ways?

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_________________________________

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Answer:

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Four-year-old Rebecca states that the two lines in set A have the same number of dots but that the second line in set B has more dots than the first line has. Rebecca's inability to report that the two rows set B contain the same number of dots reflects a lack of

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Answers

Answer:

C. conservation

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The inability to report the two sets of lines A and B have the same number of dots is that of lack of conservation. This option C is correct.

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Conservation is the prevention of the wasteful use of the resources and is the principle by which the total value of the physical, a quantity such as energy and mass remains constant.

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Based on the information in the flowchart, which of the following statements best describes how the president can influence the rulemaking process?


The president can issue an executive order instead of a rule if the rule does not support the administration’s goals.

The president exerts control over rules and regulations by selecting agency leaders who are sympathetic to the president’s goals.

The president has little control over the rulemaking process, as the administration must follow the specific dictates in the legislation.

The president can use public relations to rally citizens to support or defeat potential rules that may harm the administration’s goals

Answers

Answer: The president can issue an executive order instead of a rule if the rule does not support the administration's goals.

According to the question, The president can issue an executive order instead of a rule if the rule does not support the administration’s goals. Therefore option A is correct.

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The top executive of the United States and the highest administrative official of a contemporary republic: inaugurated as Mexico's 56th president. a leader of an organized group of people who are appointed or elected. the head of a college, institution, organization, community, etc.

The president has various responsibilities while residing and working in the White House. Among them are the eight positions listed below, commander-in-chief, chief of state, chief executive, chief administrator, chief diplomat, chief legislator, chief of party, and chief citizen.

In accordance with the Constitution, the president has the authority to issue pardons and reprieves, command the armed forces, request the written advice of their Cabinet, convene or adjourn Congress, and welcome diplomats.

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