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makeupquiz919-solutions

# makeupquiz919-solutions - Version 008/AAACA makeupquiz919...

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Version 008/AAACA – makeupquiz919 – Demkov – (59910) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A subway train starting from rest leaves a station with a constant acceleration. At the end of 6 . 66 s, it is moving at 10 . 0566 m / s. What is the train’s displacement in the first 4 . 04928 s of motion? 1. 19.7551 2. 39.0296 3. 35.6904 4. 37.9593 5. 23.772 6. 21.8012 7. 12.3795 8. 43.3243 9. 32.976 10. 17.9573 Correct answer: 12 . 3795 m. Explanation: Basic Concepts: Uniform Acceleration of Motion a = v t Displacement of Motion from Rest s = a t 2 2 Solution: The acceleration of the train is a = v t 1 = 1 . 51 m / s 2 So, the displacement in the first 4 . 04928 s is s = a t 2 2 2 = 12 . 3795 m 002 10.0 points Consider the two vectors vector M = ( a, b ) = a ˆ ı + b ˆ  , where a = 3, b = 3. 1 2 3 4 5 - 1 - 2 - 3 - 4 - 5 1 2 3 4 - 1 - 2 - 3 - 4 vector N = ( c, d ) = c ˆ ı + d ˆ  , where c = - 2, and d = - 3. 1 2 3 4 5 - 1 - 2 - 3 - 4 - 5 1 2 3 4 - 1 - 2 - 3 - 4 Thus, a and c represent the x -displacement and b and d represent the y -displacement in a Cartesian xy co-ordinate system. Note: ˆ ı and ˆ represent unit vectors; i.e. , vectors of length 1, in the x and y directions, respectively. Which arrow on the graph below correctly represents the vector vector M - vector N ?

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