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Name: Debhle MARE Date: I/IZ 8 Instructor: Schone Physics 1010 Module 4 Homework OpenStax College Physics, Chapter 3 Problems 1) Find the following for Path A in the visual shown below. All blocks are 120 m to scale: oc N ibd 4 ‘ 7 \ blocic = J20m a. The total distance traveled. ZO - A=(3 blocks + | block ) 7 en = fegom | bl oClc b. The magnitude and direction of the displacement from start to finish. | bl oce = |l20om A =~ A Ax*3 Ay* = Kream’? (30m) = 3 blocics ~ $60 ry \44-00m + \24b00m = AN 14-40 00m Am. BAM O =ton (f4)= Lan | — a lb Me 2) In the figure below, you first walk leg B, which is 20.0 m in a direction exactly 40° south of west, and then leg A, which is 12.0 m ina direction exactly 20° west of north. What is the magnitude and direction of the displacement from start to finish? A= -ltm hy = 20m Ay ~ liom bX 20m \ — 7. }om stn on ; =Am0g 0 = -\lm OB — ay A, Ae (os (7 ze HNL CB, Ay = A dla @ = 2m Bn Zo") = qelom, R= KRWSO=Zom C9 (40) = 16. St by = BStne=Zom Gin (407) = 1% bm {SAL By = - Alm Fo19,8temn = —14 42m Ry = Ay t By = 1h tom F (~'2. 86m) = ~1. 98M bm AGP? = Ait dem) + Otay = A138 9G, 13u4 Feet Me 4 344, 632g = [14.5 | L~ mayartva & 6 =tan” (f+) = tay” Saal a [ape Sw x 4) Find the magnitudes of the velocities of v, and v,in the figure shown below. Vior = Vat Vp Va Vor << Spe? ab 2b = 01 tbhva [3.4 5/5\ Ve. Viok VB = b. time > — 2 5 « £vo 44 | ae 02608 y athe =| S.A1FM4 2) Find the following for path C in the figure shown below. Note that all blocks are 120 mona ees ‘Seem! side: : SC bloc +5. ¥2.¥) +435 IBb| OUD xin ea i — \5b0Om wine fades x2 8-132) \ > 1~2el=2 0 StAIT ee p= Se as | a. The total distance traveled. 6 =_ Lin ( - =O iy < b. The magnitude and direction of the displacement from start to finish. In this part of the problem, explicitly show how you follow the steps of the analytical method of vector addition. IZom C_ 6) Using the same visual as problem 5, find the following for path D: a. The total distance traveled. 2 12, O 1560 Zbleccgs -b4 4+ blocic b. The magnitude and direction of the displacement from start to finish. In this part of the probiem, explicitly \ how you follow the steps of the analytical method of vector daition, X= fy —1= 5 blocts, Om. Om P= conf eCepon = 640m | plo \erZ 44> xa asst wom pe Lay (Se) ae Ne] /) Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the image shown below, then this problem asks you to find their sum R =A +B.) y 4 : z 4 3 ; 3 4- ¢ O ia “= a ay > os Roz ae" = - yo . Vol 10) A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base > of the building. Ignore air resistance. a. ne is the ball in the any _ r-13,505 Sx EOE = WO =RC-AB)E™ = FOS HA =(8.505, b. What must have been the initial horizontal a oa of the oat \x SV, t+ 1 gk” _ 109 = = Ve (3. 5) V2 | MIS e9 78 35 c. What is ia vertical component of the velocity just before t oak’ hits the ground? Vy Vp 2ayy = OF 2- 48 Yo vo) 41) *e=-34,3 mis d. What is the velocity (including both the horizontal and vertical components) of the ball just ee before it hits the ground? = (28,57) (4. ~ 144.6 m/5 [34,2 G= van Ge 3) bot 11) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/hr). a. How many buses can he clear if the top of the takeoff ramp is at the same height as the top of 20" the bus tops and the buses are 20.0 m long? X=? - Mm /¢ - X= 40 COS 32° 2 33,4 0) “o in(2 ( 32 Ab. 4 > FOSin 322 ZL. R= Vo SINC - 4 4h. tem. lbs =]2 24 buses 5 ue ZO,0M b. Discuss what your answer implies about the margin of error in this act - that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. Neglect air resistance. om L 3 , _ 20-08 “ne ys Ufa e > 4 b UV oe. a, ree Mar gM df eT | bus , om ——, , yf eccot > ze <1007 = |4 by &” \t, “om pot 4 12) A rugby player passes the ball 7.00 m across the field, where it is caught at the same height as it left his hand. a. At what angle was the ball! thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used? be SEED = t.p0 Ro" sine) 4.6 63.0 = 144 Sin (Le) — Sta 0 > 0. 44h EF [5S Styl 142) = Z 85 c. How long did this pass take? b3 Xs IZ WS It; = [ls ar 2, tom = ee ee ty Tee sie Hee” tL” 7 *¥ {te 13) A basketball player is running at 5.00 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. Vz fi | $ a. What ver ical mae does he need to rise 0.750 m above the floor? | ane Vip AY > Os VE UAB FSD cis ‘ I O=Ve C- ia are ae \ 5.83 mis) WHO b. How far from the basket (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the basket? wy’ Vay 7 Me FOE = 9 =3.834(-4.3) L < ft ahi 0» 34 ¢ Teh V~? a 4, =0 _~_xX% 2.x Yh yo B= 52% =[ 145m) 
