Use the following information to answer parts ac. Show all necessary work. A swan is ying at a speed of 17.5 m/s. There is a wind blowing from the East at 12.5 m/s. a) If the swan pointed due South, what would be the magnitude and direction of its velocity relative to the ground. b) If the swan wishes to travel clue South, what would be the magnitude and direction of its velocity relative to the ground. c) If the swan travels clue South as in part b, what will be its displacement after 8.5 hours? A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s. a) How much time does the otter take to get to the other side, if it points directly across the river? c) What was your average speed (in km/h)? Show all work. d) What was your average velocity (in km/h)? Show all work. You're done! Once you've completed and checked all of your solutions, submit all of Assignment 3 to the appropriate dropbox in Moodle. 10 c) Using your results from a and b, determine the components of the resultant vector. (:1) Draw a rough sketch the resultant vector using the components found in part c. e) Calculate the resultant magnitude using your sketch from part d. f) Calculate the resultant direction using your sketch from part (:1. Use polar-positive notation. Unit A Module 2, Lesson 2: Vectors and Cartesian and Navigational Directions Lesson 1 of this assignment is worth 37 marks. The value of each question is noted in the left margin in parentheses. 5. Use the vectors below to answer parts af, which walk you through the steps of numerical vector addition. Show all necessary work including calculations, vectors diagrams, and directions (polar positive notation.) Vector 1: 75.5 m/s [210] Vector 2: 120 m/s [325] a) Sketch a rough vector diagram for Vector 1, and use your sketch to calculate its components. b) Sketch a rough vector diagram for Vector 2, and use your sketch to calculate its components. b) How many metres downstream will the current have carried the otter when it gets to the other side? c) Calculate the otter's velocity, relative to the bank from where it started. 8. Your flight to your friend's house in Halifax has a short layover in Toronto. Your total flight time is 6.25 hours. The first flight to Toronto covers a distance of 2700 km [35.0 S of E], and the second flight to Halifax covers a distance of 1280 km [10.0 N of E]. a) What was the total distance you traveled? Show all work.