.S Ohttps //usq45tx. Home Homework: 2-D Motion Begin Date: 1/31/2018 12:00:00 AM

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.S Ohttps //usq45tx. Home Homework: 2-D Motion Begin Date: 1/31/2018 12:00:00 AM - Due Date: 2/7/2018 11:59-00 PM End Date: 2/14/2018 11:59:00 PM (11%) Problem 5: Captain Jack Sparrow has been marooned on an island in the Atlantic by his crew, and decides to build a raft to escape. The wind seems quite steady, and first blows him due east for 12 km, and then 8.5 km in a direction 7.5 degrees north of east. 25% Part (a) How far east, in kilometers, has the wind blown Jack? D 25% Part (c) Confident that he will eventually find himself in Spain. Jack falls asleep when he wakes up, he notices the wind is blowing him gently 1I degrees south of east but after traveling for 23 km, he finds himself back on the island where he started! How far, in kilometers, did the wind blow him while he was sleeping? rl 95.05 Potential 100% Attempts remaining: 18 [0% per attempt) detailed view asino atan() | acotanO | sinh0_/1.111213- cosh) tanhcotanh0 Submit I give up Hints:% deduction per hiat. Hints remaining:3 Feedback: 0% deduction per feedback. 25% Part (d) g the wind blew the same direction all night, what direction, in degrees north of west, did the wind blow Jack during the night?

Explanation / Answer

initial displacement r1 = 12i + (8.5*cos7.5 i + 8.5*sin7.5 j)

r1 = 20.43 i + 1.1 j

part(a)

20.43 km

part (b)

1.1 km

part(c)

displacement during sleep = r2

displacement after he wakes up , r3 = 23*cos11 i - 23*sin11 j

r3 = 22.6 i - 4.39 j

total displacement r = r1 + r2 + r3 = 0

r2 = -(r1 + r3)

r2 = -43.03 i + 3.29 j

magnitude = sqrt(43.03^2+3.29^2) = 43.16 km <<---ANSWER

part(d)

angle = tan^-1(3.29/43.03) = 4.37 north of west

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