(Solved): need help with this lab vectors Go to: http://phet.colorado.edu/sims/vector-addition/vector-addition ...

Go to: http://phet.colorado.edu/sims/vector-addition/vector-addition en.html or https://phet.colorado.edu/sims/html/vector-addition/latest/vector-addition en.html Instructions Please read each question carefully and do as it requests. Include a screenshot of the simulation with your work for each marked question (5 points deduction each missing screen shot). Do not delete content and the order of questions. Answers must be highlighted in yellow color. If any physical quantity has both magnitude(size) and direction, it is called a vector. Displacement is a vector. It has both magnitude and direction. Distance is a scalar and it has only magnitude. The magnitude of a vector is found by taking the square root of the sum of the squares of the components of the vector. If the vector has three components then displacement vector ?= d?x + dy? + d?2 and the distance D= [d?²-d²-d?²¹2 For an example 2 dimensional vector a, a= (3.2) with horizontal component, a, 3 and vertical component, ay = 2 and the magnitude, lal is ?(3)² + (2)² = ??9+4=?13 = 3.6. (We did not include the unit in the above example because it could be any physical quantity which is a vector. In the simulation, the magnitude of the vector, a is labeled lal and the components are called a for the horizontal and ay for the vertical. 1. Click the Vector Addition link above. 2. Click Components Explore 2D. Select the grid 3. Grab a Vector (a) which is represented by arrow and place its tail at the origin 4. Place the arrow head on the y axis at any length. Record the following listed across the top: à- 8- 3x ay = 4 pts 5. Place the arrow head on the x axis at any length. Record the following: a- 8- 3x ay m 4 pts 6. Place the vector head in the second quadrant (still starting at the origin). Add a screen shot here i a) What happens to the signs of a, and a? 2 pts b) What angle does & make? 2 pts c) Calculate acos (8) 2 pts Is this equal to a?. 2 pts 7. Place the vector head in the third quadrant (still starting at the origin). Add a screen shot here a) What happens to the signs of a, and ay? What does negative mean? b) What angle does 8 make? (2 pts) * c) Calculate a cos (0)= 2 pts Is this equal to ay? 8. Place the vector head in the fourth quadrant (still starting at the origin). 4 pts a) What happens to the signs of a, and ay?. b) What angle does 8 make? 9. Move your vector back to the first quadrant and arrow must be in arbitrary direction. Make sure it's tail still starts at the origin. 4 pts Record a= 10. Grab another vector, b and place it's tail at the head of the first vector drawn. Move the head of the second vector in any direction you want. For this new vector 4 pts Record bx= by= 11. Select "Sum" 12. Drag the sum vector arrow so that it's tail starts at the origin of the vector a and the arrow head is at the head of the vector b Add a screen shot. 4 pts Add a screenshot here Record 3y=h for the sum 13. What is the relationship of the s, value of the sum to x values of the first two vectors? Explain [Answer] 10 pts 14. What is the relationship of the s, value of the sum to y values the first two vectors? Explain [Answer] 10 pts 2 pts 2 pts Just signuy right of the origin of the graph. Record the following for the first vector a= 0= ax ay= 4 pts 16. 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 but make the angle as close to 120° as you can. Record the following for the second vector. 161 = by by=____ 4 pts 17. 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. a 8- Cx™ Cy= 4 pts 18. What are the components of the resultant vector for the sum of these first three vectors in question #s 15,16, and 17? Add a screen shot. 0- Sx 4 pts 19. If each of the vectors in #15, 16 and 17 represented the distance traveled in a run: Show how you obtained answer for each question in the given space below the question. a) What was the total distance traveled along the path? m 5 pts b) If the total distance was run in 10 s, what was the average speed? c) What was the displacement of the runner? d) What was the average velocity of the runner? m 5 pts m/s 5 pts m/s 5 pt