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
-
"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
-
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 ___________.
-
Here are the cash flows for two mutually exclusive projects: a. At what interest rates would you prefer project A to B? (Hint: Try drawing the NPV profile of each project.) b. What is the IRR of each...
-
For the following exercises, make a table of values for each set of parametric equations, graph the equations, and include an orientation; then write the Cartesian equation. [x(t) = e y(t) = -2e5t
-
In a 1975 contract, Eureka was given the exclusive right to sell spring water and other products under the Ozarka trade name in 60 Oklahoma counties in exchange for \($9,000\) paid to Arrowhead,...
-
Lawsons Department Store faces a buying decision for a seasonal product for which demand can be high, medium, or low. The purchaser for Lawsons can order 1, 2, or 3 lots of the product before the...
-
Which statement about the acquisition of Rohm and Hass by Dow is correct? Group of answer choices The Revlon Standard implied that Rohm could not consider the welfare of its employees in the...
-
Carver Incorporated purchased a building and the land on which the building is situated for a total cost of $839,100 cash. The land was appraised at $144,745 and the building at $820,220. Required a....
-
Charismatic leadership is defined by a leader who uses his or her communication skills, persuasiveness, and charm to influence others. Charismatic leaders have an ability to connect with people on a...
-
What is the concept of preemptive multitasking in the context of operating systems?
-
How does the utilization of swapping enhance the efficiency of memory management systems?
-
Why might some police administrators who have responsibility for managing police operations NOT like programs such as Comstat?...
-
Rob is a carpenter who has an agreement with Hope Homeowner to fix some furniture. Hope has placed $500 toward the work, and the work is scheduled to end two weeks from when this was established. Rob...
-
Make a detailed presentation on Organizational Change Management
-
Assessing simultaneous changes in CVP relationships Braun Corporation sells hammocks; variable costs are $75 each, and the hammocks are sold for $125 each. Braun incurs $240,000 of fixed operating...
-
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...
-
What is the primary business of Satyam Computer Services Ltd?
-
In January 2009, approximately how many employees did Satyam Computer Services employ?
-
What was the cash balance sheet amount and how much cash actually existed in the Satyams bank accounts?
Study smarter with the SolutionInn App