A pinball bounced around its machine before resting between two bumpers. Before the ball came to rest, its displacement was recorded as a series of vectors. All the angles are measured counterclockwise from the horizontal .taxis. _. VI: 33.0 cm at 90.0\" _. V2: 51.0 cm at 159\" I73: 61.0 cm at 225" Find the magnitude and direction of the hall's total displacement. Vector C has a magnitude of 22.2 m and points in the y direction. Vectors A and B both have positive yoempenents. and make angles of e: = 41.9D and [3 = 25.7\" with the positive and negative xaxis, respectively. If the vector sum A + B + C = 0, what arethe magnitudes efA and B? Figure is not In scale. What are the magnitude Au and angle 9' of the change in velocity if the initial velocity is 70.0 mls south and the nal velocity is 90.0 mi's west? Let the angle 6' be measured relative to the east direction (e.g., 6' = 90' means A3 points north, I9 = 180\" means A3 points west, eta). QUESTION 1 Instructions: On occasion, the notation A = [A, 0] will be a shorthand notation for A = Acos i + A sin G. The diagram below shows 3 vectors which sum to zero, all of equal length. Which statement below is true? C O a. 2A + 2B = 2C ObA - B = 2A+ C A +B = A-C Od.A - B = 2A- C OBA+B= B-CQUESTION 2 Instructions: On occasion, the notation A = [A, 0] will be a shorthand notation for A = Acos 6 + A sin G. The rectangular coordinates of a point are (5.00, y) and the polar coordinates of this point are ( r, 67.4"). What is the value of the polar coordinate / in this case? O a. 1.92 O b. 4.62 O c. 12.0 O d. 13.0 O e. More information is needed.QUESTION 3 The three forces shown act on a particle. 65.0 N 30 30.0 N -20 20.0 N Use this exhibit to answer the following question(s)- Refer to Exhibit above. What is the direction of the resultant of these three forces? O a. 85 O b. 65 O c. 55- O d. 45 O e. 35QUESTION 4 If A = [15, 80 ] and B = 12i - 16j, what is the magnitude of A - B? O a. 15 O b. 5.0 O c. 35 O d. 23 O e. 32QUESTION 5 IfA = 12i - 16j and B = -241 + 10j, what is the direction of the vector C = 2A - B? O a. +210 O b. +490 Oc-41 O d. -90 O e. -49QUESTION 6 If vector C is added to vector B, the result is -9i - 8j. If B is subtracted from C, the result is 5i + 4j. What is the direction of B (to the nearest degree)? O a. 230 O b. 206- O c. 236' O d. 2210 O e. 225QUESTION 7 Vectors A and B are shown. What is the magnitude of a vector C if C = A - B? 50 O a. 90 O b. 30 O c. 10 O d. 78 O e. 46