8.8. a. In future chapters we will find it very useful to resolve a vector graphically. Explain what this means in a sentence. b. Resolve the vector below (i.e., draw the two vector components Ax and Ay below). -4-3-2 A c. In part (b) you should've drawn a horizontal vector and a vertical vector. In the theory of vectors, we can now say that = sum of two vector components = Ax + Ay and each of these two vectors looks like (scalar) times unit vector, namely = A + Ay Give a description of the two vectors and . Write your answer as a sentence. Say more than just "they are unit vectors". d. Looking at the graph, what are the numerical values of the scaler components Ax and Ay 9.C. a. Explain how the average velocity vector is drawn in relation to the displacement vector. b. Explain how the average acceleration vector is drawn in relation to the change in velocity vector. c. Explain the rule on how to draw the instantaneous velocity vector if you are given the path of an object. d. What is the relationship between instantaneous speed and instantaneous velocity? Explain in a sentence using the word magnitude. m S e. Suppose a vector is not zero. Its magnitude (i.e., size) is always positive. True or False? 10.9. A cyclist moves at a speed of v = 3.2 and wants to avoid hitting a person so he makes a course correction around the person. He moves easterly for At = 5.4s then turns at 63 north of east for another At2 = 2.4s. 6 31 Dashboard Calendar To Do Notifications Inbox 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf a. What is the cyclist's net displacement vector Ar net = Ar + Ar from point P to Q. Write your answer in terms of and P Arnet Q . b. How far would the cyclist have moved had he travelled the most direct route from P to Q? As part of your answer, explain the relationship between this distance and the net displacement vector Ar. 11.10. A bug on the floor traces out the trajectory seen below for the time interval t = Os to t =2.0s - Its x, y coordinates depend on time according to the equations x = t + 1, y = 2t 3 where x, y are in centimeters and t is in seconds. a. Draw the curvy path that the bug makes on the axes below. Make a precise sketch of the curve by filling out the table. -7 -6 y 8 7 6 5 4 3 2 1 S 5 -4 -3-2 -1 -1 -2 -3 -4 -5 -6 -2 -8 2 3 4 5 6 7 x t x y 0 0.5 1 1.5 2.0 100% 7 31 Dashboard Calendar To Do Notifications Inbox 000 2:29 AM Tue Mar 12 Back 2ag HCHW Ch 3 (18).pdf b. Draw the initial and final position vectors 11, 12 and the displacement Ar in the time interval from 0 to 2.0s. in the same time interval? Find the x, y components of the displacement at 2.0s: Ax and Ay. ANS: 4,4 c. What are the components of the average velocity Vavg,x and Vavg,y Draw the average velocity vector in the graph. d. Write the average velocity in terms of the unit vectors and 100%