Please read each question carefully and do as it requests.

Displacement is a vector. It has magnitude and direction. Distance is a scalar and has only magnitude. The distance traveled is the sum of the magnitudes of the Displacements.

The magnitude of a vector is found by taking the square root of the sum of the squares of the components of the vector. D =d_xx + d_yy + d_zz and distance = [d_x² + d_y² + d_z²]^1/2

1. Click the Vector Addition link above.
2. Click Components Style 2. This will show the x and y components of the vectors in light red.
3. Grab a Vector from the barrel and place it's tail at the origin.
4. Grab the head of the arrow and drag it so the arrow's head on the y axis at any length. Record the following listed across the top:

|R| = __________ = __________ R_x = __________ R_y = __________ 8pts

1. Grab another arrow from the barrel and place the arrow's tail at the origin. Drag the arrow's head and place it on the x axis at any length. Record the following:

|R| = __________ = __________ R_x = __________ R_y = __________ 8pts

1. Grab another arrow from the barrel and place the arrow's tail at the origin. Drag the vector's head into the second quadrant).

a) What are the components R_x and R_y of the vector? R_x =______ R_y = ______ 4 pts

b) What angle does make? q = _______ 2 pts

c) Calculate |R| cos =___________2 pts Is this equal to R_x? _________ 2 pts

d) Calculate |R| sin =___________2 pts Is this equal to R_y? _________ 2 pts

1. Drag the vector's head into the third quadrant (still starting at the origin).

a) What are the components R_x and R_y of the vector? R_x =______ R_y = ______ 4 pts

b) What angle does make?q = _______ 2 pts

c) Calculate |R| cos =___________2 pts Is this equal to R_x? _________ 2 pts

d) Calculate |R| sin =___________2 pts Is this equal to R_y? _________ 2 pts

1. Drag the vector's head into the fourth quadrant (still starting at the origin).

a) What are the components R_x and R_y of the vector? R_x =______ R_y = ______ 4 pts

b) What angle does make?q = _______ 2 pts

c) Calculate |R| cos =___________2 pts Is this equal to R_x? _________ 2 pts

d) Calculate |R| sin =___________2 pts Is this equal to R_y? _________ 2 pts

1. Move your vector back to the first quadrant.Make sure it still starts at the origin.

What are the components R_x and R_y of the vector? R_x =______ R_y = ______ 4 pts

10. Delete all vectors except the first vector of question 1.

1. Grab another vector from the barrel and place it's tail at the head of the first vector of questions 1. Place the head of this vector anywhere in the first quadrant.

What are the components R_x and R_y of the vector? R_x =______ R_y = ______ 4 pts

1. Click "Show Sum"

1. Drag the green sum vector so that it's tail starts at the origin. 4 pts

Record R_x = __________ R_y = __________ for the sum.

1. What is the relationship of the R_x value of the sum to the R_x values of these two vectors?

[Answer] 10 pts

1. What is the relationship of the R_y value of the sum to R_y values of these two vectors?

[Answer] 10 pts

1. Clear All, then place a vector of any length along the x-axis. Place it so it starts just slightly right of the origin of the graph. Record the following for the first vector

|R| = __________ = __________ R_x = __________ R_y = __________ 4 pts

1. Place the tail of a second vector at the tip of the first vector. Make the second vector as close to the same length as the first vector(questions 15) but make the angle as close to 120^o as you can. Record the following for the second vector.

|R| = __________ = __________ R_x = __________ R_y = __________ 4 pts

1. Place the tail of a third vector at the tip of the second vector. Make the third vector approximately the same length as the first two vectors but place the tip at the origin of the graph. Record the following for the third vector.

|R| = __________ = __________ R_x = __________ R_y = __________ 4 pts

1. What are the components of the resultant vector for the sum of these first three vectors:

|R| = __________ = __________ R_x = __________ R_y = __________ 4 pts

22. If each of the vectors represented the distance traveled in a run:

1. What was the total distance traveled? _____________________m 5 pts

1. If the total distance was run in 10 s, what was the average speed? ___________ m/s 5 pts

1. What was the displacement of the runner? ________________ m 5 pts

1. What was the average velocity of the runner? ________________ m/s 5 pts