Class l Help Homework 3 Begin Date: 1/22/2018 12:00:00 AM Due Date: 2/12/2018 11

Question

Class l Help Homework 3 Begin Date: 1/22/2018 12:00:00 AM Due Date: 2/12/2018 11:59:00 PM End Date: 2/12/2018 11:59:00 PM (8%) Problem 3: After being marooned by his crew on an island in the Atlantic, Captain Jack Sparrow builds a raft to escape and set out to sea on it. The wind seems quite steady, at first blowing him due east for 13 km and then 7 km in a direction 9 degrees north of east. Confident that he will eventually reach safety, he falls asleep. When he wakes up, he notices the wind is now blowing him gently 11 degrees south of east, and after traveling for 26 km in that direction, he finds himself back on the island! > 50% Part (a) How far, as the crow flies, in kilometers, did the wind blow him while he was sleeping? Grade Summary Deductions 0% Potential 100% sin0 cotan( tan0 acos0 coso asin0 atanacotan) sinh0 cosh t cotanh0 ODegrees O Radians Attempts remaining: 2 (0% per attempt) detailed view 4 5 6 12 3 0 I give up Hints: 2% deduction per hint. Hints remaining: 3 Feedback: deduction per feedback. Submission History Answer Hints Feedback Totals Totals 0% 0% 10% i Parth Assuming

Explanation / Answer

(A) r1 = 13i

r2 = 7 (cos9 i + sin9 j) = 6.91 i + 1.095 j

r3 = ?

r4 = 26 ( cos11 i - sin11 j) = 25.52 i - 4.96j

and r1 + r2 + r3 + r4 = 0

r3 = - (r1 + r2 + r4)

r3 = - 45.43 i + 3.865 j km

r = sqrt(45.43^2 + 3.865^2) = 45.6 km

(B) theta = tan^-1(3.865 / 45.43) = 5 deg North of west

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---