4. Suppose you leave you house, hike 2.0 mi due east, then 3.0 mi due north, and then 6.0 miles 30 north of west to your favorite tree. Find the total displacement, magnitude and direction, from your house to the tree. 6mi 30° 2m² 3mi
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- The magnitudes of the vectors shown in the figüre are |A| = 10m, IB| = 20m, and IC| = 15m. a) Find the components of each vector. b) Write each vector in unit vector notation. 30 c) Find i = (2Ã +B – č). 2026. A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Modeling the Earth as flat, use this informa- tion to find the displacement from Dallas to Chicago.3. Both graphically (with a quick sketch) and analytically (by components with the equations) determine the resultant (both magnitude and direction) of the following two vector displacements: (1) 15.0 m at an angle of 35.0° south of east, and (2) 10.0 m due south.
- A girl delivering newspapers covers her route by traveling 5.00 blocks west, 5.00 blocks north, and then 9.00 blocks east. (a) What is her resultant displacement? blocks at ° north of east (b) What is the total distance she travels? blocks1A) Saanich is walking around the campus. Saanich walks 2.4 km north. Saanich then makes a left turn and walks 1.45 km west. Finally, Saanich makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of Saanich from the starting point? a) 3.9 km, 24° north of west b)5.3 km, 59° north of west c) no answer is correct d)3.9 km, 66° north of west e)5.3 km, 70° north of west 1B) Saanich drives a car of mass 1800 kg on the Ford Test Track. If the initial speed of the car is 32m/s and the track can be approximated as a circle of radius 25 m, what is the average velocity Saanich would be travelling at during a single revolution? a) 100 m/s b) zero m/s c) 44 m/s d) 26 m/s e) 32 m/s 1C) Saanich is participating in a physics lab. He fires a projectile at an angle of 47.0° off of a desk. If Saanich shoots the projectile at a speed of 25 m/s, how long does it take the projectile to reach its highest point? a) 1.7 s b) 2.9 s c) 1.9 s d) 9.8 s e)1.5 s1. DETAILS (a) C = A + B Given the displacement vectors A = (7.00 13.00 +2.00 k) m and B = (3.00 +2.00 -6.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. Tu tu C (b) D = 2A-B teta D m î+ m î+ Ĵ+ Ĵ+ k) m MY NOTES k) m ASK YOUR TEACHER
- 5. A hiker travels from camp through the forest. The hiker follows 3 trails and becomes lost. The first is 180 m due west. The second one is 210 m in a direction of 35.00 east of south. The third one is 280 m at 30.0° north of east. What are A) the distance and B) direction the hiker need to walk to return to the camp?Please solve and answer the question correctly. Thank you!!3. Your pet cat is playing around in the living room and performs the following displacements: 80 cm north, 55 cm east, and then 60 cm at 30° south of east. Determine the magnitude and direction of the fourth displacement of your cat if A. She is to arrive at her initial location. B. Her resultant displacement is 20 cm at 75° south of west from her initial location.
- 2. DETAILS Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 13.0 m, 140° counterclockwise from the +x axis. R = (b) 4.00 cm, 50.0° counterclockwise from the +x axis. R= cm (c) 20.0 in., 204° counterclockwise from the +x axis R = in. MY NOTES ASK YOUR TEACHERH1