PS4 - 5. Consider the two vectors ) k 4 j 4 i 3 ( A + = m...

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Problem Sheet 4 1. Two points in the plane have polar coordinates (2.50m, 30.0 ° ) and (3.80m, 120.0 ° ). Determine a. The Cartesian Coordinates b. The distance between them 2. Two points in the plane have Cartesian coordinates (2.00, -4.00) m and (-3.00, 3.00) m. Determine a. The distance between the points b. Their Polar Coordinates 3. Vector A has a magnitude of 8.00 units and makes an angle of 45 ° with the positive x- axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x- axis. Using the graphical methods, find a. The vector sum A + B b. The vector difference A – B c. The unit vector of A in Cartesian Coordinates d. The unit vector of B in Cartesian Coordinates 4. A roller coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30 ° above the horizontal. It then travels 135 ft at an angle of 40.0 ° downward. What is the displacement from the starting point?
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Unformatted text preview: 5. Consider the two vectors ) k 4 j 4 i 3 ( A + = m and ) k 7 j 3 i 2 ( B + = m, find the magnitudes of a. C = A + B b. D = 2A - B 6. Obtain expressions in component form for the positions vectors having polar coordinates: a. 12.8 m, 150 b. 3.30 cm, 60 c. 22.0 in., 215 7. The displacement vectors of a croquet ball are shown in the figure below. Find a. The resultant in unit-vector notation and b. The magnitude and direction of the resultant displacement 45 45 C A B 8. An airplane starting from airport A flies 300 km east, then 350 km at 30 west of north, and then 150 km north to finally arrive at airport B. a. The next day, another plane flies directly from B to A. In what direction should the pilot travel in this direct flight? b. How far will the pilot travel in this direct flight?...
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This note was uploaded on 05/02/2011 for the course GE 208K taught by Professor Dutt during the Spring '11 term at University of Texas at Austin.

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PS4 - 5. Consider the two vectors ) k 4 j 4 i 3 ( A + = m...

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