In this problem we analyze the phenomenon of “tailgating” in a car on a highway at high speeds. This means traveling too close behind the car ahead of you. Tailgating leads to multiple car crashes when one of the cars in a line suddenly slows down. The question we want to answer is: “How close is too close?”
To answer this question, let’s suppose you are driving on the highway at a speed of 100 kilometers an hour (a bit more than 60 mph). The car ahead of you suddenly puts on its brakes. We need to calculate a number of things: how long it takes you to respond; how far you travel in that time; how far the other car traveled in that time.
A. First let’s estimate how long it takes you to respond. Two times are involved: how long it takes from the time you notice something happening till you start to move to the brake, and how long it takes to move your foot to the brake.
You will need a ruler to do this. Take the ruler and have a friend hold it from the one end hanging straight down. Place your thumb and forefinger opposite the bottom of the ruler. Have your friend release the ruler suddenly and try to catch it with your thumb and forefinger. Measure how far it fell (in meters) before you caught it. Do this three times and take the average distance — we will call this r. Assuming the ruler was falling freely without air resistance, you can calculate how much time it took before you caught it, t1, using the equation r = (5 m/s2) * t12.
Also, you can estimate the time, t2, it takes you to move your foot from the gas pedal to the brake pedal. Your total reaction time is t1 + t2.
What was your t1?
1 s
What was your estimate for t2?
2 s
So what is your reaction time? (Use your estimates.)
3 s
B. If you brake hard and fast, you can bring a typical car to rest from 100 kph (about 60 mph) in 5 seconds.
B.1 Calculate the magnitude of your acceleration, −a0, assuming that it is constant.
4 m/s2
Why did we put a minus sign in front?
5This answer has not been graded yet.
B.2 Suppose the car ahead of you (which was also going 100 kph) begins to brake with an acceleration −a0 from B1. How far will he travel before he comes to a stop? (Hint: How much time will it take him to stop?)
6 m
B.3 What will be his average velocity over this time interval?
7 m/s
C. Now we can put these results together into a semi-realistic situation. You are driving on the highway at 100 km/hr and there is a car in front of you going at the same speed.
C.1 You see him start to brake immediately. (An unreasonable but temporarily useful simplifying assumption.) If you are also traveling 100 kph, how far (in meters) do you travel before you begin to brake, using your reaction time from part A.
Minimum distance = 8 m
If you can also produce the acceleration −a0 from part B1 when you brake, what will be the total distance you travel before you come to a stop?
9 m
C.2 If you don’t notice the car ahead of you beginning to brake for 1 second, how much additional distance will you travel?
10 m
C.3 On the basis of these calculations, what do you think is a safe distance to stay behind a car at 60 mph? Express your distance in “car lengths” (about 15 feet).
11 car lengths
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In This Post After Having Read The Assigned Materials I Want You To Think About
/in Uncategorized /by developerIn this post, after having read the assigned materials, I want you to think about them in the context of Sustainable Development Goal #3: https://sustainabledevelopment.un.org/sdg3. (Links to an external site.)Links to an external site. Read both the “Progress and Info (2018)” and “Targets and Indicators” tabs to give yourself a better idea of what the goal entails. Discuss some of the themes that you noticed in the assigned readings that are reflected in the SDG. This will set up your post, by introducing the topic of health, for the next part.
Then, taking the diseases you were given in your group activity this week(My disease topic is Tuberculosis), look for a recent article where that disease is the subject. Good places to find such articles are https://medicalxpress.com/, (Links to an external site.)Links to an external site. reports from the World Health Organization (WHO), or even a search of the name of the disease on https://news.google.com (Links to an external site.)Links to an external site.. Similarly, you are encouraged to find a scholarly article using https://www.ncbi.nlm.nih.gov/pubmed/ (Links to an external site.)Links to an external site. or https://scholar.google.com (Links to an external site.)Links to an external site.. I want you to provide a synopsis or summary of the article, as well as identify from the page on SDG #3 the connections between the goal and the article. An easy way to summarize an article is to state the Five W’s. Draw from both the section on “Infectious diseases and non-communicable diseases” and the specific targets and indicators – e.g. 3.3.1. More than one target or indicator may be related. For instance, think of ways as we did in in the exercise of how the disease affects other aspects of the society. From there many of the targets and indicators can be broadly applied.
Rubric
2pts – Making an attempt and turned in on time2pts – Clearly and coherently written discussion post (I can follow what you are saying, 500 words or greater)2pts – Summary of the article you found2pts – Connection of the contents of the article to SDG #32pts – Response to a colleague
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In This Problem Assume A Propagation Speed Of 95 Km Hr And That Each Toll Booth
/in Uncategorized /by developerIn this problem, assume a propagation speed of 95 km/hr and that each toll booth takes 8 seconds to service a car.
Suppose the caravan of 10 cars begins immediately in front of the first toll booth, travels 68 km to a second toll booth, then another 68 km to a third toll booth, and finally stops immediately after the third tool booth. Thus, they travel a total of 136 km. What is the total end-to-end delay?
Where is the last car in the caravan after one hour? Your answer must include a distance/specific location, and not only a relative direction.
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In This Problem Be Especially Wary Of Round Off Keep 3 Sigfigs In Each Answer An
/in Uncategorized /by developerplease help with steps I am not understanding how to solve these problems
In this problem, be especially wary of round-off; keep 3 sigfigs in each answer and throughout your calculations.Based on the following data about planet X (which has a circular orbit around the Sun):Planet X’s distance from Sun = 4.8*1012 mPlanet X’s radius = 1.6*106 mPlanet X’s mass = 6.4*1022 kga.) Find gx, the size of the acceleration due to gravity on the surface of Planet X. 1.668m/s2b.) What is the weight of a 10 kg mass on the surface of Planet X? 16.68N(How does this compare to its weight on Earth?)c.) How long would it take for a ball dropped from a height of 2 m to hit the ground? 3.463X s(How does this compare to the time it would take on Earth?)d.) At 2 of Planet X’s radii above the planet’s SURFACE*, what is gx?m/s2e.) For Planet X’s orbit around the Sun, please find:its orbital speed:m/szs/wits centripetal acceleration:f.) How long is a year on Planet X? Express your answers in both seconds and Earth years:SEarth years*Note this word is boldfaced, underlined and capitalized****and asterisked.
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In This Problem Show That Given N Red Points And N Blue Points In The Plane Such
/in Uncategorized /by developerIn this problem, Show that given n red points and n blue points in the plane such that no three points lie on a common line, it is possible to draw line segments between red-blue pairs so that all the pairs are matched and none of the line segments intersect. Assume that there are n red and n blue points fixed in the plane.
A matching M is a collection of n line segments connecting distinct red-blue pairs. The total length of a matching M is the sum of the lengths of the line segments in M. Say that a matching M is minimal if there is no matching with a smaller total length.
Let IsMinimal(M) be the predicate that is true precisely when M is a minimal matching. Let HasCrossing(M) be the predicate that is true precisely when there are two line segments in M that cross each other. Give an argument in English explaining why there must be at least one matching M so that IsMinimal(M) is true, i.e.
∃MIsMinimal(M)
Give an argument in English explaining why
∀M(HasCrossing(M) → ¬IsMinimal(M))
Now use the two results above to give a proof of the statement: ∃M¬HasCrossing(M).
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In This Problem The Credit Union Is At Fault Even Though The Member Also Bears S
/in Uncategorized /by developerIn this problem the credit union is at fault, even though the member also bears some responsibility for not monitoring the checking account. Although resolution has already been discussed on the phone, a clearly written letter, aligned with company policy, can achieve two goals—assuring the customer and the company that the issue is resolved and offering the customer options for preventing any future problems.
Though Ms. Wong was initially upset, this letter should focus on the positive information the writer has to offer—the funds transfer resolved and the reversal of the service charges on Ms. Wong’s account. The writer should refer to the phone conversation but avoid any negative wording. A brief explanation of the cause of the automatic transfer failure could restore the member’s confidence in the credit union. In addition, the writer can offer Ms. Wong incentives to enroll in services that would be valuable to her and advantageous for the credit union, and then close with an appropriate goodwill comment.
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In This Problem We Analyze The Phenomenon Of Tailgating In A Car On A Highway At
/in Uncategorized /by developerIn this problem we analyze the phenomenon of “tailgating” in a car on a highway at high speeds. This means traveling too close behind the car ahead of you. Tailgating leads to multiple car crashes when one of the cars in a line suddenly slows down. The question we want to answer is: “How close is too close?”
To answer this question, let’s suppose you are driving on the highway at a speed of 100 kilometers an hour (a bit more than 60 mph). The car ahead of you suddenly puts on its brakes. We need to calculate a number of things: how long it takes you to respond; how far you travel in that time; how far the other car traveled in that time.
A. First let’s estimate how long it takes you to respond. Two times are involved: how long it takes from the time you notice something happening till you start to move to the brake, and how long it takes to move your foot to the brake.
You will need a ruler to do this. Take the ruler and have a friend hold it from the one end hanging straight down. Place your thumb and forefinger opposite the bottom of the ruler. Have your friend release the ruler suddenly and try to catch it with your thumb and forefinger. Measure how far it fell (in meters) before you caught it. Do this three times and take the average distance — we will call this r. Assuming the ruler was falling freely without air resistance, you can calculate how much time it took before you caught it, t1, using the equation r = (5 m/s2) * t12.
Also, you can estimate the time, t2, it takes you to move your foot from the gas pedal to the brake pedal. Your total reaction time is t1 + t2.
What was your t1?
1 s
What was your estimate for t2?
2 s
So what is your reaction time? (Use your estimates.)
3 s
B. If you brake hard and fast, you can bring a typical car to rest from 100 kph (about 60 mph) in 5 seconds.
B.1 Calculate the magnitude of your acceleration, −a0, assuming that it is constant.
4 m/s2
Why did we put a minus sign in front?
5This answer has not been graded yet.
B.2 Suppose the car ahead of you (which was also going 100 kph) begins to brake with an acceleration −a0 from B1. How far will he travel before he comes to a stop? (Hint: How much time will it take him to stop?)
6 m
B.3 What will be his average velocity over this time interval?
7 m/s
C. Now we can put these results together into a semi-realistic situation. You are driving on the highway at 100 km/hr and there is a car in front of you going at the same speed.
C.1 You see him start to brake immediately. (An unreasonable but temporarily useful simplifying assumption.) If you are also traveling 100 kph, how far (in meters) do you travel before you begin to brake, using your reaction time from part A.
Minimum distance = 8 m
If you can also produce the acceleration −a0 from part B1 when you brake, what will be the total distance you travel before you come to a stop?
9 m
C.2 If you don’t notice the car ahead of you beginning to brake for 1 second, how much additional distance will you travel?
10 m
C.3 On the basis of these calculations, what do you think is a safe distance to stay behind a car at 60 mph? Express your distance in “car lengths” (about 15 feet).
11 car lengths
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In This Problem We Are Given A Family Of Finite Sets S1 Sm And A Number K F We C
/in Uncategorized /by developerin this problem we are given a family of finite sets S1,…,Sm and a number k<|F|.we call U = Ui=1to m Si universal set and denote its size n.We are asked to find a subfamily F’c F of size k such that every element of U is contained in at least one set of the family F’.Note that MinSC in NP-complete.Design backtracking D&C algorithm for this problem,prove its correctness and estimate its run time.
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In This Problem We Ll Learn More About The Lled Julia Set Of The V Map You Shoul
/in Uncategorized /by developerDYNAMIC CHAOTICS: V sends each (n+1)st level to an nth-level interval.
In this problem, we’ll learn more about the filled Julia set of the V map. You should referto the week 8 notes and slides for background information and terminology. The labeling of nth—level intervals that we used in class make it easy to see where Vsends each interval, but it makes it hard to see where each interval sits on the real line. The pictures below show a different labeling, which makes it easy to see Where each interval sits. LL RL Removing L0 and L1 from R leaves two first—level intervals. The left and right intervals arecalled HL and HR, respectively. Removing L2 splits each first—level interval into a pair ofsecond—level intervals. The left and right halves of BL are called Hu. and H13, respectively.The left and right halves of HR are called Hm, and HER, respectively. In general, the left andright halves of H are called H L and H B, respectively.
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In This Program You Will Create The Following Methods Displayapplicationinformat 1
/in Uncategorized /by developerIn this program, you will create the following methods:
Using these methods, you will construct a program that prompts the user for the following:
Also, note that the program should contain a well-documented program header.
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In This Programming Question We Will Be Considering The Number Partition Problem
/in Uncategorized /by developerIn this programming question, we will be considering the NUMBER PARTITION problem.
As input, the number partition problem takes a sequence A = (a1, a2, . . . an) of non-negative integers, and outputs a sequence S = (s1, s2, . . . sn) of signs si ∈ {−1, +1} such that the residue
is minimized. Another way to view the problem is to split the set (or multi-set) of numbers given by A into two subsets A1 and A2 whose sums are as equal as possible. The absolute value of the difference of the sums is the residue.
(a.) NUMBER PARTITION can be solved exactly in time polynomial in n and B. Find and implement a dynamic programming algorithm that has worst-case running time that is a polynomial function of n and B. As always, justify correctness, formulate a DP recurrence and analyze the running time.
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