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# PS4 - 5 Consider the two vectors k 4 j 4 i 3 A = m and k 7...

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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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