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# ict04 - Version 002/AAAAC ict 04 Turner(92510 This...

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Version 002/AAAAC – ict 04 – Turner – (92510) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points A river flows due North at 2 . 4 m / s. A boat crosses the river from the West shore to the East shore by maintaining a constant velocity of 7 . 6 m / s due East relative to the water. What is the magnitude of the velocity of the boat relative to the shore? 1. 7.62367 2. 9.54304 3. 10.054 4. 8.10432 5. 7.96994 6. 8.67703 7. 9.40398 8. 9.13337 9. 10.4105 10. 9.81218 Correct answer: 7 . 96994 m / s. Explanation: v br v re v be θ North East Taking North and East be positive, let v be = velocity of boat relative to earth v br = velocity of boat relative to river v re = velocity of river relative to earth Given : v re = 2 . 4 m / s and v br = 7 . 6 m / s . vectorv be = vectorv br + vectorv re . The velocities are perpendicular, so v be = radicalBig v 2 br + v 2 re = radicalBig (7 . 6 m / s) 2 + (2 . 4 m / s) 2 = 7 . 96994 m / s . 002 (part 2 of 3) 10.0 points By how many degrees off course is the boat forced by the current?

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ict04 - Version 002/AAAAC ict 04 Turner(92510 This...

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