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# CW3 - boland(kbb544 CW3 Mackie(10611 This print-out should...

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boland (kbb544) – CW3 – Mackie – (10611) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points Instructions for finding a buried treasure in- clude the following: Go 232 . 1 paces at 230 , turn to 107 and walk 247 paces, then travel 136 paces at 70 . Find the magnitude of the resultant dis- placement from the starting point. Correct answer: 255 . 46 paces. Explanation: Let east be 0 . Let : r 1 = 232 . 1 paces , θ 1 = 230 , , r 2 = 247 paces , θ 2 = 107 , r 3 = 136 paces , and θ 3 = 70 . The horizontal component of the resultant is R x = R 1 cos θ 1 + R 2 cos θ 2 + R 3 cos θ 3 = (232 . 1 paces) cos 230 + (247 paces) cos 107 + (136 paces) cos 70 = - 174 . 892 paces and the vertical component is R y = R 1 sin θ 1 + R 2 sin θ 2 + R 3 sin θ 3 = (232 . 1 paces) sin 230 + (247 paces) sin 107 + (136 paces) sin 70 = 186 . 206 paces , so R 2 = R x 2 + R y 2 = ( - 174 . 892 paces 2 ) + (186 . 206 paces 2 ) = 65260 paces 2 | R | = radicalbig 65260 paces 2 = 255 . 46 paces . 002 (part 2 of 2) 10.0 points What is the direction of the resultant displace- ment? Use counterclockwise from due East as

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CW3 - boland(kbb544 CW3 Mackie(10611 This print-out should...

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