2 Physics 20: SUMMER Assignment 3 3. Later that day, the goose is considering visiting one of three wetlands, A, B, or C. If there is a wind velocity as shown, sketch the vector diagrams for the goose to reach each wetland from its current position. A B C wind velocity Wetland A] (1) Wetland B) (1) Wetland C) (1)3 Physics 20: SUMMER Assignment 3 Unit A Module 2, Lesson 2: Vectors and Cartesian and Navigational Directions Lesson 1 of this assignment is worth 32 marks. The value of each question is noted in the left margin in parentheses. These questions should be mathematically calculated. Do not use the tip-to-tail method. 4. Use the vectors below to answer parts a-f, 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. (2) b] Sketch a rough vector diagram for Vector 2, and use your sketch to calculate its components. (2)Physics 20: SUMMER Assignment 3 c) Using your results from a and b, determine the components of the resultant vector. (2) d) Draw a rough sketch the resultant vector using the components found in part c. (1) e) Calculate the resultant magnitude using your sketch from part d. (1) f) Calculate the resultant direction using your sketch from part d. Use polar-positive notation. (2)5. Use the following information to answer the following question. Show all necessary work. A swan is flying at a speed of 17.5 m/s. There is a wind blowing from the East at 12.5 m/s. If the swan wishes to travel due South, what would be the magnitude and direction of its velocity relative to the ground. (3) 6. 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. a) How much time does the otter take to get to the other side, if it points directly across the river? (1)6 Physics 20: SUMMER Assignment 3 b) If the current velocity is 2.5 m/s, how many metres downstream will the current have carried the otter when it gets to the other side? (1) c) Using the same velocity, calculate the otter's velocity, relative to the bank from where it started. (4) 7. 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]. (1) a) What was the total distance you traveled? Show all work.Physics 20: SUMMER Assignment 3 b) What was your displacement? Show all necessary work (9)Physics 20: SUMMER Assignment 3 c) What was your average speed (in km/h)? Show all work. (1) d) What was your average velocity ( in km/h)? Show all work. (2)