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solution31 - fullwood(tf5349 – QUIZ 2 Vectors – Catala...

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Unformatted text preview: fullwood (tf5349) – QUIZ 2 Vectors – Catala – (49033) 1 This print-out should have 8 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 Tammy leaves the office, drives 62 km due north, then turns onto a second highway and continues in a direction of 30 ◦ north of east for 90 km. What is her total displacement from the office? Correct answer: 132 . 378 km. Explanation: Basic Concepts Choose a coordinate system with the positive x-axis representing 0 ◦ and the positive y-axis representing 90 ◦ . Solution S 1 S S S 2 S 1 S 2 S 2n S n S 2e S e θ α For the vector s 2 angled at θ north of east, the north component s 2 n is the side opposite the angle θ and the east component s 2 e is the side adjacent. The north component of the final displace- ment is s n = s 1 + s 2 n = s 1 + s 2 sin θ The east component of the final displacement is s e = s 2 e = s 2 cos θ The total displacement is the hypotenuse of the right triangle formed by s n and s e , so s = radicalBig s 2 n + s 2 e 002 (part 2 of 2) 10.0 points At what angle is her displacement? (Consider east to be 0 ◦...
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solution31 - fullwood(tf5349 – QUIZ 2 Vectors – Catala...

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