Use the graphical method of for adding vectors to find the total displacement of a person who walks the following three paths (displacements) on a flat field. First, he walks 25 m in a direction 49 ° north of east. Then, he walks 23 m heading 15° north of east. Finally, he turns and walks 32 m in a direction 68° south of east.

Vector  A  has a magnitude of 24 units and points in the positive y-direction. When vector  B  is added to  A,  the resultant vector  A + B  points in the negative y-direction with a magnitude of 11 units. Find the magnitude and direction of  B. magnitude=

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.

Vector  A  has a magnitude of 23 units and points in the positive y-direction. When vector  B  is added to  A,  the resultant vector  A + B  points in the negative y-direction with a magnitude of 15 units. Find the magnitude and direction of  B.

A force vector F₁ points due east and has a magnitude of 240 newtons. A second force F₂ is added to F₁. The resultant of the two vectors has a magnitude of 380 newtons and points along the (a) east/ (b) west line. Find the magnitude and direction of F₂. Note that there are two answers. (a) (b) - + Number i Number i newtons newtons

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?

Vector X has magnitude 9.0 m and is directed east. Vector Y has magnitude 8.0 m and is directed north. What is the resultant displacement of the vectors?

Problem 2: A vector has x and y components 7.8 and 9.9 respectively. Part (a) What is the magnitude of this vector? Numeric : Anumeric value is expected and not an expression. r = Part (b) What is the direction of this vector in degrees? Numeric : A numeric value is expected and not an expression. 0 =

Suppose a person walks so that their displacement is represented by a vector that has a magnitude of 52m (vector A). The direction of that initial displacement is 31 degrees north of east. After that, the person then walks 15 m due west (vector B).  Use trig to calculate the east and north components of the first displacement, vector A.

A jogger travels a route that has two parts. The first is a displacement A of 2.30 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number (b) Number (c) Number (d) Number Mi i Mi Units Units Units Units <