Which one of the following3 /ktr-p4w ddfia;ls 7 is an example of a vector quantity?

  Which of the following opr k b1bzzmrwpn9ra/p6q8p; ;1erations will not change a vector?

  Which of the following is an acld 5med(hbm-tl w1 1h3curate statement?

  The resultant of two vectors is the smallest wo,wy30 n*qt2w-b/f biywc 9nxhen the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivewfnlsk.a,qqfx ,z ,0 8ly. When these two vectors are added, l.f,x 08,naswkq, f zqthe magnitude of the sum

  Two vectors, of magnitudes 20 and 50gs- lxwaty02j+8 nji1 , are added. Which one of the following is a possible ansyi0wn jsx1+ tj g2a-l8wer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull adj*og8vn0 y1on an object in directions that adja o g8*yv10nre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector isx6-duv)w ee+ ws pt306 vesg5l

  Ignoring air resistance, the horizontal component of a projectilevb1r ht /id2lgsev,c y ey 01 ggtj3s58.b*h(x's velocity

  A ball is thrown with a velocity of 20 m/s at an angle ofjf fobc.:/f h4xgq 1p1 $60^{\circ}$ above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a proje)i u b66epd, pgunlewy2lx7 5*ctile's acceleration6xniu 56w e2 y* ,dulppbe)7gl

  A soccer ball is kicked with a velocity of 25 m/s at an a3 s 9z: l n,b4tzj1 jb4b3xqcdco;xxf9ngle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of an obyeqpo ma ; 5):(c(fftza4 rwd(ject is directed anti-parallel to the velocity ve4 tzw e ya(o:)pm5ffr(adc;( qctor,

  If the acceleration of an object is always directed perpendicular to it .ctq/iiuya,lgg26uh, -coz- s velocity,2. uy,/ia-i uc6ggclhq oz-,t

  At what angle should a water-gun be aimed in order -2a/ilbds z 0+skcuw; for the water to land with the greates kbsdw0 s c/l-a+u2i;zt horizontal range?

  An Olympic athlete throws a javelin at four differni ad)59vmle7u4x 4dvent angles above the horizontal, each with the same9dmnd7vua) 5l 4evix 4 speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second time. If the ball leaves your 9nn sa/ , dac 9m9n8)j6yitknkhand with twice the velocity it had on your first throw, its horizontal range R (compared to youc nn9k t,68ad y9jnamn ki)/s9r first serve) would be

  A ball is thrown at an originaa9 mi kaofb(f2sj- h73l speed of 8.0 m/s at an angle of $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goal attempt +-:*mtwu o+jzw8ml f 3ok94nbk:am tnreaches its maximum height, how does its speed compare to its initw+ ojwnnm8kul43:zt9 * m -mo:fabk+t ial speed?

  A stone is thrown horizontally from the top of a tower at the same instal i;l 2t56j.p o5lsd04s eajrcnt a ball is dropped vertically. Which object is traveling faster when it hitsltj l id02eja 5ss;.6o lr5pc4 the level ground below?

  A bullet is fired horizontally, and at the samew-vc3h+y++yo 6b/nu ntt2vcdwh6x b. instant a second bullet is dropped from the same height. Ignore air revn3+wboc c ub-66x.2+ h/+dy wnvth ytsistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50c2 lu;5dothw*bpl mt 4i4.5cdz 4xo w0.8 m/s and at an elevation of 272 m drops a package. 7.8 seconds later it drops a second packagecd x5m h*u.c5twl i btlo p;w2444od0z. How far apart will the two packages land on the ground?

  A package of supplies is dropp 3fvi5n/y bv bopw;87le7x aj8ed from a plane, and one second later a second packag8/b5xv; iwfpa8vnelb3j 77 oy e is dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane fr by+aau(7q-h8vb q ro l6dw5,lying horizontally at a constant speed. Neglecting air resistance, when the boma,bu+h w(ryarqq5obdv l-86 7b hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth1nx 5y6f vl odrzmrv1+9ky4 9m. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Eartk14rxzn my5d6m9 v1y +rol9fvh, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to e: t:ohbwul-qnq2pdw.g 8y4f7bf0v6 a straight, level road and pass a car traveling yn0-b2w84o6:wqh 7pv.qdt :fle fgbu at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong current.d:q-wkj,dbz oc4n6/i You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You skw onbd:d4i/zq6,c-j hould head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time wilovgyo 3h2p13e l it take you top3y ogh312ve o move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at aaw3o ,zntw5x 8n angle of 30 degrees below the +x axis. The y compotn,o 58zw3wa xnent of A is

  If a ball is thrown with a velocity of 25 m/s at anu8 v:fkmigg)eoeew6l c5ya g zbr) 6 k8)*e0(l angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line in a directioj0pg j1kd q:9t8f:d 4utvo5ik n north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walf i1kopdt ud0 5qg8 v4t:9jjk:ked?

  A butterfly moves with a speed of 12.0 m/s54 0 uzkv8*td ,jxisfz. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and tds v5xj8t* zzifk ,40uhe x axis must be

  A 400-m tall tower casts a 600-m l:s2gbqyzb x0: ong shadow over a level ground. At what angle is the Sun elevatzb b0 2xg:y:qsed above the horizon?

  Two vectors A and B68fw5x*hrj)wve l7h yj)t+mr29em qe have components (0, 1) and (-1, 3), respectively. What are the componenteyq rj7ew6j9 mh+ e)8 f)*tvlhw2rxm5 s of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respect7m-u10; c dx aw5bi-fdb)vcj/p /kssiively. What is magnitu5dspvib c1fwx/um7 d;-j0/ski ac-b )de of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). *rn,ux+,j bxf.fa5g1yx 1u qb Vector C = A + B . What is the magnitude of C ayxffqj,u1* .xu,+1b n5r xgb?

  A car travels 20 km West, then 20 km South. What is the magnitude of its di a5uvq-:2y2redbe;ogtt. , w csplaceqr ygw db.,vt:-otc5;2 ae e2ument?

  Three vectors, expressed in Cartesian coordina, gw0 ;*cyjwawtes, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the magnitude of the resultant vector S + T + U ?

  Three vectors, expressed in Ca 2sd f o.n)f04urd;x5+v rgtmyrtesian coordinates, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the angle of the resultant vector S + T + U measured from the positive x axis?

  If vector A = (-3.0, -4.0) and vector B = (+3.0, -8.0), what is the magnituty0ot;d1tm,gq azb;9,gbk+w de of vector C = A - B mw;dazb gb;t tyoqkg0+ 19,,t?

  A runner runs halfway aro;zaf j7ke mrf/gz0j:)und a circular path of radius 10 m. What is the displacement of the joafm zg7z r:0jjef);/kgger?

  Two forces are acting on an object as shown in Fig. below. What is thefjd-q-3.; h wtq nt.scq0zu/g magnitude of the resultant fow.fsqt;0 /.-hnzjc3ut -dq qgrce?

  Two forces are acting on an object as shown ioc t 3z51+rpjil/e7zdn Fig. below. What is the direction of the resultant fz/rzo +7j idp3t5ce1lorce?

  Vector A is 5.7 cm long an8wu(9-wx 7o+3lbcb5vpu on zmd points along the positive x axis. Vector B is 9.0 cmb(wp9 bou-7mo8l 5ncwxz vu3 + long and points at $+33^{\circ}$ to the negative x axis.
(a) Determine the x component of Vector A $A_x =$ (数值)  $cm$ and y component of Vector A $A_y =$ (数值)  $cm$
(b) Determine the x component of Vector B $B_x =$ (数值)  $cm$ and y component of Vector B $B_y =$ (数值)  $cm$
(c) Determine the sum of these two vectors in terms of components. $R_x=$  (数值)  $cm$ and $R_y=$  (数值)  $cm$
(d) Determine the sum of these two vectors in terms of magnitude  (数值)  $cm$ and the tangent value of the direction angle (measured from the posive x axis rotated in the counterclock wise direction) $\tan \theta = $  (数值) 
Please only fill in numerical values in the above blanks!

  Vector A is 68 cm long and points at vir7.i)j5dno ktv(g +$30^{\circ}$ above the positive x axis. Vector B is 20 cm long
and points along the negative x axis. Vector C is 36 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A: $A_x=$  (数值)  $cm$ and $A_y=$  (数值)  $cm$
(b) Determine the x and y components of Vector B: $B_x=$  (数值)  $cm$ and $B_y=$  (数值)  $cm$
(c) Determine the x and y components of Vector C: $C_x=$  (数值)  $cm$ and $C_y=$  (数值)  $cm$
(d) Determine the sum of these three vectors in terms of components. $R_x=$  (数值)  $cm$ and $R_y=$  (数值)  $cm$
(e) Determine the sum of these three vectors in terms of magnitude  (数值)  $cm$ and the tangent value of the direction angle (measured from the positive x-axis rotated in the counterclock wise direction) $\tan \theta=$  (数值) 
(Please only fill in numerical value in the above blanks!)

  A stone is thrown horizontally with an initial spea,wsxz.icc v.a ),*i+8xdd 1yd tnxy-ed of 16 m/s from the edge of a cliff. A si xd i)wy.zs axd,y t1*- .cax,dn+vc8top watch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, wif +hxu wsn ks:f4ooz m;/809d60aft3w zdn+ cgth a velocity of 11 m/s, from a bridge. It falls 20 m to the water below. How far do+a: o f/x9zn 0t n3 46s8+zmchfko;d0sdwwgf ues the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 20 m abo zm::f-07epc vklov pilrkk uf:-811jve the ground, strikes the ground after traveling horizo1jopf-:-ikp lm7fck 0lz81eu: vkv r:ntally a distance of 16 m. With what speed was it thrown?

  A jumper in the long-jump goes into thewlayf2 80 0qbw jump with a speed of 12 m/s at an angle 8w02 yb fwql0aof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into the jump with a speed of 11 m/s at an angle 1-o m m7feq mbs0rty m,o9194xej0ibvof0bm tx m y09r4mf o9mvo1- isq1e,j7eb $28^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wia68,78gfl*7mimhi sw 1mf .u p zfav9vth an initial velocity of 45.3 m/s at an angle of $20.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 25y c7ozb 73-hej.7 m/s at an angle of $19.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle m/q* :+kktfjiomk: 6)k tzk.iof $30^{\circ}$ below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below?

  A projectile is shot horizontallyw5iljqi4/to z*by/x1v j4 .q i at 18.7 $m/s$ from the roof of a building 50.8 $m$ tall.
(a) Determine the time necessary for the projectile to reach the ground below.  (数值)  $s$
(b) Determine the distance from the base of the building that the projectile lands.  (数值)  $m$
(c) Determine the horizontal component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$
(d) Determine the vertical component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$

  A projectile is fired from ground level with an initial speed of 53.4 m/6eomg.w gc /x-s at an anglow6e /cmg-x g.e of $37.6^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.  (数值)  $s$
(b) Determine the maximum height reached by the projectile.  (数值)  $m$
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height. horizontal:  (数值)  $m/s$ vertical:  (数值)  $m/s$
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height. horizontal:  (数值)  $m/s^2$ vertical:  (数值)  $m/s^2$

  On a calm day (no wind), you can run crmoqo,aea yzb/w1- +/ 9aw; ja 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the time it wr9,bq/yw+ w-o /oamez c 1aaj;ould take you to finish would be

  A plane has an air speek18 o-r+zot+ l) swakud of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speewzr+1ua) s8 l+ook-k td relative to the ground is

  A plane is flying due 4lfiaz-f:w;9kse g )d,oi ua6 South ($270^{\circ}$) at 500 km/h. A wind blows from East to West ($180^{\circ}$) at 45.0 km/h. Find the plane's velocity with respect to the ground.

  An airplane with a speeda47kd, jdq z:go c*hcjuh:q 4r+g.eq. of 120 km/h is headed $30.0^{\circ}$ east of north in a wind blowing due west at 30.0 km/h. What is the speed of the plane relative to the ground?

  A fighter plane moving 200 m/s horizontally fires a projectile with speed -7bicj+ ,o dmtfn.bc; 50.0 m/s in a forward direc+7omd .ib;tfjnc - c,btion $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in still water is 8.0 m/s, is directed across a jimcjw09.:u l 2w7d9 l oz4berriver with a current of 6.0 m/s. bzcmjodwr. e:l99l 42wi7 0uj What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 20 m/s in still water wishhs; 7(dpe(qx -4cx wdves to travel directly across a river 1.2 km wide in which the current flows at 4.1 m/s. How longw4e dvsx 7-;dpc((h xq will it take to cross the river?

  The driver of a motorb5wqaz5giv *-md l/ 8cdr8n q5hoat that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the bq 8v-55z*/r5cmlda qinhgd8w oat?

  A swimmer heading directly across a river 200 m wide reachd:y a6b i3e)dyes the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still wa6a:eyb3d ) yidter?

  A swimmer heading directly across;w g+zmb,iaa3xb, u ohw;m+f3 a river 200 m wide reaches the opposite bank in 6 min 40 s. She is um,za xb+;3h ww,ia+mof3gb;swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 2.04 m/s, must aim upstream at an a (aff .idt4mi-2dmuh(ngle ofda(-ui(4dt2h.mmi f f $23.5^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.  (数值)  $m/s$
(b) Determine the resultant speed of the boat with respect to the shore  (数值)  $m/s$