Use the analytical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0º north of east. Then, she walks 23.0 m heading 15.0º north of east. Finally, she turns and walks 32.0 m in a direction 68.0° south of east.

Use the analytical technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, she walks 25.0 m in a direction 49.0º north of east. Then, she walks 23.0 m heading 15.0º north of east. Finally, she turns and walks 32.0 m in a direction 68.0° south of east.

Similar questions

The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 10.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or A+ B+ C = 0. Find the magnitudes of vector B and vector C .
A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of West, then 1.5 miles due South. What must be the vector displacement of the hiker during the fourth part of the trip in order for the resultant to be 5.5 miles due West for the entire trip? Drawing a vector diagram or drawing individual vectors will help.
A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
An ocean liner leaves New York City and travels 16.2°north of east for 117 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? S (a) Number i Units (b) Number i Units
The three displacement vectors in the drawing have magnitudes of A = 5.97 m, B = 6.04 m, and C = 4.80 m. Find the resultant((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°.
A = 15m due West To get from one office to another in a company, a man travels as follows: R = 25 m, 53° East of North = 20m due East Which of the following is the magnitude and direction of the resultant vector? 27.6 m, 59 degree North of East B 29.2 m, 31 degree North of East 29.2 m, 31 degree East of North D) 27.6 m, 59 degree East of North
A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 3.20 km, B = 5.40 km, and C = 4.40 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle. 23.0 (a) Number i (b) Number i Units Units B Finish- + C B 35.0 40.0⁰ - Start
Vector A = 7.4 i + 3.2 j. Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in degrees.
Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B? b. What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis?
A 20.0° SALA +y C 160 60.0⁰ (a) Number i B (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.98 m, B = 6.75 m, and C = 4.20 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. +x Units Units
Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – B
A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 3.00 km, B = 5.10 km, and C = 4.80 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle . (a) Number IA i (b) Number i Units Units 23.0 7 167 B Finish- B 35.0⁰ A 40.0° Start