2:29AM Tue Mar 12 eoe Qe 2ag HCHW Ch 3 (18).pdf @) 3.2. The acceleration vector @ of a moving car has magnitude ||d|| = 5m/s? and direction 6 = 300 CCW from the +x axis. a. Express the angle using \"south of east\" language. b. Express the angle using \"east of south\" language. HELP: This will not be same answer as part (a). . Whatis 8' where this is the positive acute angle formed from the terminal side of 6 and the X-axis. d. Draw the vector below on the polar graph paper and find its components a, , a, using trig. 180 4.C. a. Two force vectors are seen below. True or False: these vectors can be moved so that that their tails are at the origin, and they are still the same vectors. b. A student wants to add the two vectors below but doesn't want to do the operation where they are presently. According to part (a), the student may move them so that both tails are initially at the origin. Do so and draw their sum P_'{ + E using the tail-to-tip rule. 7~ XS A5 AN &l Calendar U To Do Q Notifications @ 11194 2:29AM Tue Mar 12 eoe Qe XS Ao 2ag HCHW Ch 3 (18).pdf @] c. Use the tip-to-tip rule to draw the difference E - E and E - F; Explain in a short sentence how E - F_'f is different from E - 172> d. True or False: ||F_7: F_'{\" = ||FT . E\" Explain in a short sentence what this equation is telling us. Use the word \"size\" in your answer. e. Draw the vector FT + SF; 5.5. In example 5 we saw that another way books explain vector subtraction is by thinking of it as the addition of an opposite: A-B=4+ (E) a. Using the same vectors as the previous problem, now draw the subtraction IT; - F; by using vector addition, namely: = F; = Ff Tt (F_"z) b. Recall that vectors can be moved around in the plane and yet still represent the same vector as long as the size and direction doesn't change. If you look at your answer to 3.1c, compare it to your answer in 4.5a. Are they the same: yes, or no? 6.6. a. l;: = a'f + b . The scalar x-component equation is given symbolically as F, = aT, + bS,. What is the scalar y-component equation? b.If a=-2, b=2, T =(1,-2), S =(3,0), then find the x,y components of F. c. fa=3 b=-1, T = 5i + 37, S=i J, then find the x,y components of F. 7.7. Fand T represent two force vectors. ||||= 40N with direction a = 30 south of west, and ||f||= 50N with direction = 75 south of east. a. Use the polar graph paper below to make a precise sketch of the two vectors and their resultant F + T below (using a straight-edge and a protractor) and find numerical values of the x, y components of the resultant. HELP: Make the smallest circle radius 10 N this is what a protractor looks like & B ] 7 Ay ,'/@/, ' ML R % ~ '\\'H, %/ W e/ uh 2R T T L= WESTCOTT" j = N 1 - " w E S 5 Sl Calendar Q Notifications AN b. Find the magnitude and direction angle for the resultant. Give your angle as a positive number in degrees measured CCW from the + x axis. ANS: mag 71.7, direction angle 252.4