8.8. a. In future chapters we will find it very useful to resolve a vector graphically....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
8.8. a. In future chapters we will find it very useful to resolve a vector graphically. Explain what this means in a sentence. b. Resolve the vector below (i.e., draw the two vector components Ax and Ay below). -4-3-2 A c. In part (b) you should've drawn a horizontal vector and a vertical vector. In the theory of vectors, we can now say that = sum of two vector components = Ax + Ay and each of these two vectors looks like (scalar) times unit vector, namely = A + Ay Give a description of the two vectors and . Write your answer as a sentence. Say more than just "they are unit vectors". d. Looking at the graph, what are the numerical values of the scaler components Ax and Ay 9.C. a. Explain how the average velocity vector is drawn in relation to the displacement vector. b. Explain how the average acceleration vector is drawn in relation to the change in velocity vector. c. Explain the rule on how to draw the instantaneous velocity vector if you are given the path of an object. d. What is the relationship between instantaneous speed and instantaneous velocity? Explain in a sentence using the word magnitude. m S e. Suppose a vector is not zero. Its magnitude (i.e., size) is always positive. True or False? 10.9. A cyclist moves at a speed of v = 3.2 and wants to avoid hitting a person so he makes a course correction around the person. He moves easterly for At = 5.4s then turns at 63 north of east for another At2 = 2.4s. 6 31 Dashboard Calendar To Do Notifications Inbox 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf a. What is the cyclist's net displacement vector Ar net = Ar + Ar from point P to Q. Write your answer in terms of and P Arnet Q . b. How far would the cyclist have moved had he travelled the most direct route from P to Q? As part of your answer, explain the relationship between this distance and the net displacement vector Ar. 11.10. A bug on the floor traces out the trajectory seen below for the time interval t = Os to t =2.0s - Its x, y coordinates depend on time according to the equations x = t + 1, y = 2t 3 where x, y are in centimeters and t is in seconds. a. Draw the curvy path that the bug makes on the axes below. Make a precise sketch of the curve by filling out the table. -7 -6 y 8 7 6 5 4 3 2 1 S 5 -4 -3-2 -1 -1 -2 -3 -4 -5 -6 -2 -8 2 3 4 5 6 7 x t x y 0 0.5 1 1.5 2.0 100% 7 31 Dashboard Calendar To Do Notifications Inbox 000 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf b. Draw the initial and final position vectors 11, 12 and the displacement Ar in the time interval from 0 to 2.0s. in the same time interval? Find the x, y components of the displacement at 2.0s: Ax and Ay. ANS: 4,4 c. What are the components of the average velocity Vavg,x and Vavg,y Draw the average velocity vector in the graph. d. Write the average velocity in terms of the unit vectors and 100% 8.8. a. In future chapters we will find it very useful to resolve a vector graphically. Explain what this means in a sentence. b. Resolve the vector below (i.e., draw the two vector components Ax and Ay below). -4-3-2 A c. In part (b) you should've drawn a horizontal vector and a vertical vector. In the theory of vectors, we can now say that = sum of two vector components = Ax + Ay and each of these two vectors looks like (scalar) times unit vector, namely = A + Ay Give a description of the two vectors and . Write your answer as a sentence. Say more than just "they are unit vectors". d. Looking at the graph, what are the numerical values of the scaler components Ax and Ay 9.C. a. Explain how the average velocity vector is drawn in relation to the displacement vector. b. Explain how the average acceleration vector is drawn in relation to the change in velocity vector. c. Explain the rule on how to draw the instantaneous velocity vector if you are given the path of an object. d. What is the relationship between instantaneous speed and instantaneous velocity? Explain in a sentence using the word magnitude. m S e. Suppose a vector is not zero. Its magnitude (i.e., size) is always positive. True or False? 10.9. A cyclist moves at a speed of v = 3.2 and wants to avoid hitting a person so he makes a course correction around the person. He moves easterly for At = 5.4s then turns at 63 north of east for another At2 = 2.4s. 6 31 Dashboard Calendar To Do Notifications Inbox 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf a. What is the cyclist's net displacement vector Ar net = Ar + Ar from point P to Q. Write your answer in terms of and P Arnet Q . b. How far would the cyclist have moved had he travelled the most direct route from P to Q? As part of your answer, explain the relationship between this distance and the net displacement vector Ar. 11.10. A bug on the floor traces out the trajectory seen below for the time interval t = Os to t =2.0s - Its x, y coordinates depend on time according to the equations x = t + 1, y = 2t 3 where x, y are in centimeters and t is in seconds. a. Draw the curvy path that the bug makes on the axes below. Make a precise sketch of the curve by filling out the table. -7 -6 y 8 7 6 5 4 3 2 1 S 5 -4 -3-2 -1 -1 -2 -3 -4 -5 -6 -2 -8 2 3 4 5 6 7 x t x y 0 0.5 1 1.5 2.0 100% 7 31 Dashboard Calendar To Do Notifications Inbox 000 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf b. Draw the initial and final position vectors 11, 12 and the displacement Ar in the time interval from 0 to 2.0s. in the same time interval? Find the x, y components of the displacement at 2.0s: Ax and Ay. ANS: 4,4 c. What are the components of the average velocity Vavg,x and Vavg,y Draw the average velocity vector in the graph. d. Write the average velocity in terms of the unit vectors and 100%
Expert Answer:
Related Book For
Statistics For Business And Economics
ISBN: 9780134506593
13th Edition
Authors: James T. McClave, P. George Benson, Terry Sincich
Posted Date:
Students also viewed these physics questions
-
A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure...
-
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
To eliminate service inconsistencies, companies rely on ___________ and ___________.
-
A proposed nuclear power plant will cost $2.2 billion to build and then will produce cash flows of $300 million a year for 15 years. After that period (in year 15), it must be decommissioned at a...
-
Table 14.12 shows the quantity demanded and supplied in the labor market for driving city buses in the town of Unionville, where all the bus drivers belong to a union. Table 14.12 a. What would the...
-
How is a lease liability calculated?
-
Access the full case story of Mar-Bal Company (the AIS-at-Work for this chapter) at www.iqms.com. Then, respond to each of the following requirements: Requirements 1. Review the items in Figure...
-
Solveall parts please! Professor Wendy Smith has been offered the following opportunity: A law firm would like to retain her for an upfront payment of \( \$ 50,000 \). In return, for the next year...
-
Consider a mean-variance portfolio framework. The market portfolio, M, has an expected return of 10% and a standard deviation of 20%. The risk-free rate is 4%. (1) An investor has a mean-variance...
-
Why is the possible breakdown of the Schengen area potentially damaging for the future of the EU?
-
Consider some of the implications of the assumption of rational behaviour in a market for an asset such as bonds. What might you expect to see happening in such a market in response to new...
-
What are the main reasons for the growth in support for populist political groups across Europe?
-
Why did governments such as those in Greece, Spain, Ireland, Portugal and Italy experience such a rise in deficits and debt in the wake of the Financial Crisis?
-
A square loop of side \(a=50 \mathrm{~cm}\) is suspended from the left arm of a scale, which is kept at equilibrium by adding weights to the right side. The lower half of the loop is in a uniform...
-
The variance of BMI, Inc. is estimated to be 0 . 0 1 3 1 , while the variance of QBU, Inc. is estimated to be 0 . 0 2 5 5 . The covariance between BMI and QBU is estimated to be 0 . 0 0 4 3 . What is...
-
Anna, a high school counselor, devised a program that integrates classroom learning with vocational training to help adolescents at risk for school dropouts stay in school and transition to work...
-
Refer to Exercise 13.21 and the hourly data collected by BPI consulting. Recall that the data are saved in the file. In Exercise 13.21 BPI Consulting, a leading provider of statistical process...
-
When you sign on to your Facebook account, you are granted access to more than 1 million relying party (RP) Web sites. Vulnerabilities in this sign-on system may permit an attacker to gain...
-
The Economics of Education Review (Vol. 21, 2002) published a paper on the relationship between education level and earnings. The data for the research were obtained from the National Adult Literacy...
-
You are saving for the college education of your two children. They are two years apart in age; one will begin college in 15 years, the other will begin in 17 years. You estimate your childrens...
-
Assume that the cost of a college education will be \($20,000\) per year when your child enters college 12 years from now. You currently have \($10,000\) to invest. What rate of interest must your...
-
A well-known insurance company offers a policy known as the Estate Creator Six Pay. Typically the policy is bought by a parent or grandparent for a child at the childs birth.The details of the policy...
Study smarter with the SolutionInn App