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 A below (i.e., draw the two vector components /Tx and y below). A C v . In part (b) you should've drawn a horizontal vector and a vertical vector. In the theory of ectors, we can now say that A = sum of two vector components = ffx + /Ty and each of these two vectors looks like (scalar) times unit vector, namely A= Ayl + Ayf Give a description of the two vectors i and j. 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 A, and 4, 9.C. a b. e. 1 d . Explain how the average velocity vector is drawn in relation to the displacement vector. Explain how the average acceleration vector is drawn in relation to the change in velocity vector. Explain the rule on how to draw the instantaneous velocity vector if you are given the path of an object. . What is the relationship between instantaneous speed and instantaneous velocity? Explain in a sentence using the word magnitude. Suppose a vector is not zero. Its magnitude (i.e., size) is always positive. True or False? 0.9. A cyclist moves at a speed of v = 3.2? and wants to avoid hitting a person so he makes course correction around the person. He moves easterly for At; = 5.4s then turns at 63 north of east for another At, = 2.4s. Q Notifications E [(3]s1e3 2:29AM Tue Mar 12 (XY} IS O T N { Back YA (o a Ao R LRI Oy N a. What is the cyclist's net displacement vector A7, = A7, + A7, from point P to Q. Write your answer in terms of f and | 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 AT. 11.10. Abug 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 = t2 + 1, y = 2t 3 where X,y arein 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. y Calendar : Q Notifications 2:29AM Tue Mar 12 XL = 100% [#42) R 2ag HCHW Ch 3 (18).pdf Q M b. Draw the initial and final position vectors 7;, 7, and the displacement A7 in the time interval from 0 to 2.0s. Find the x, y components of the displacement at 2.0s: Ax and Ay. ANS:4, 4 . What are the components of the average velocity vg,g, and vgyg, in the same time interval? Draw the average velocity vector in the graph. d. Write the average velocity in terms of the unit vectors T and J