Ship A is located 3.5 km north and 2.4 km east of ship B. Ship A has a velocity of 24 km/h toward the south, and ship B has a velocity of 37 km/h in a direction 31° north of cast. Should the ship Captains be worried? Choose your coordinates so that north is the positive y-direction and east is the positive z-direction. a. At what time (in hours) the ships are at closest proximity to each other? b. What is the distance (in km) between the ships when they are the closest?
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- I start walking. The 1st leg of my trip I walk dA = 130 m at θA = 19° south of east. The 2nd leg of my trip I walk dB = 55 m at θB = 13° north of east. On my final leg I walk dC = 95 m at θC = 69.5° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. a) Write an expression for the x-component of the final displacement in terms of the given quantities. b)Write an expression for the y-component of the final displacement in terms of the given quantities. c) What is the magnitude of my displacement vector (in meters) as measured from the origin? d) What is the angle of my displacement vector as measured counterclockwise from the +x-axis?Asha is walking along a straight path from the National Geographic Museum towards the International Spy Museum. The International Spy Museum is 1.22 km east and 0.91 km south of the National Geographic Museum. Part way along her path, Asha turns perpendicular to the path she was originally following to a second path towards the White House. The White House is 0.91 km directly south of the National Geographic Museum. Using (0,0) for the location of the National Geographic Museum, determine the slope of the line representing Asha’s second path and write a linear equation for this path. Show how you arrived at your answer.You fly 35.0 km in a straight line in still air in the direction 31.0° south of west. a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. 18.0263 30.0009 30.0792 km South b) Find the distances you would have to fly first directly south-west and then directly north-west. 7.49958 km West km South-West km North-West
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