In an attempt to leave his island gilligan builds a raft and sets to sea the win
ID: 1864712 • Letter: I
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In an attempt to leave his island gilligan builds a raft and sets to sea the wind changes a great dea during the day and he is blown along the following straight lines. 2.35 km 45 north of west, then 4.95km 60 south of east, then 1.4 km 25 south of west then 5.5 km straight east then 1.8 km 5 east of north then 7.2 km 55 south of west and finally 2.95 km 10.
A. What is the distance of his final position from the island in Kilometers.
The Expert TA 1 Human-li × ? com/Common/TakeTutorialAssignment.aspx ? ? secure https://usci 3hi.t ::: Apps m MyUH Services 1 All google scholar Home | AMCAS Campus Student Em ? 1 Medical School Ac The Expert TA 1 Hun Files-Dropbox Other bookmarks Home | Student: gfitting@hawaii.edu My Account Log Out Class Management | Help Homework 1 Begin Date: 7/2/2018 2:00:00 PM--Due Date: 7/12/2018 11:00:00 PM End Date: 8 10 2018 11:00:00 PM (296) Problem 22: In an attempt to leave his island. Gilligan builds a raft and sets to sea. The wind changes a great deal during the day, and he is blown along the following straight lines: 2.35 km 45.0° north of west; then 4.95 km 60.0° south of east; then 1.4 km 25.0 south of west: then 5.5 km straight east; then 1.8 km 5.00 east of north; then 7.2 km 55.0 south of west: and finally 2.95 km 10.0° north of east. Assignment Status Click here for detailed view 50% Part (a) What is the distance of his final postion from the island in kilometers? Grade Summary 090 100% Problem Status Submissions Attempts remaining: 7 (2% per attempt) 7 8 9 cos) asin atan acotan sinho 1 Completed 2Completed 3 Completed 4 Completed 5 Completed 6 Completed cotan) acos) detailed view cosh) tanho cotanhO 0 . DegreesRadians Submit I give up! Completed 8 Completed Hints: 2 for a 0% deduction. Hints remaining:- Feedback:-% deduction per feedback. 10 CompletedDaf -Draw a diagram of this situation, with all the angles carefully marked. -The final displacement is the sum of all these vectors. Submission History Partial Completed 12 13 14 15 16 17 All Date simes are displared in Haweriicun Sterndard Time Redwission date times indicate Iate work Date Time Answer Hints Feedbaclk 50% Part (b) What is the angle of his final position relative to the island? Give your answer in degrees south of east. Completed Completed Completed Completed 12:32 PM O Type here to search 7/10/2018Explanation / Answer
His journey consists of 5 vectors. You need to convert the angles first to be relative to East.
A=2.35@135 degrees
B=4.95@300 degrees
C=1.4@205 degrees
D=5.5@0 degrees
E=1.8@85 degrees
F=7.2@235 degrees
G=2.95@10 degrees
Rx= (2.35Cos135 + 4.95Cos300 +1.4Cos205 + 5.5Cos0 + 1.8Cos85 + 7.2cos235 + 2.95cos10) = 3.98km
Ry= (2.35Sin135 + 4.95 Sin 300 +1.4 Sin 205 + 5.5 Sin 0 + 1.8 Sin 85 + 7.2 Sin 235 + 2.95 Sin 10)= -6.81 km
(a) R=Square Root of Rx^2 + Ry^2
= 7.89 km
(b) AngleA = tan-1(Ry/Rx)
= 59.7 degrees S of E
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