Which one of the following is an example of a vector quanv ;p5nh0x a1o) 5m1rjuliqf8b sx7 y.mtity?

  Which of the following operations wing*rt* vn8fl c tc/s)5ll not change a vector?

  Which of the following po a(1bsqh9 4y7-gkapis an accurate statement?

  The resultant of two vectors is the smallest when the angle between themeav7 n-kdc 7,m is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivelys:5zyt+qj qvz s35xf5 p*7dm r. When these two vectors are added, the magnitude of they+7r*tp z zs qx:5 vdms3fj55q sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of thjy1 +:m*7 nj+betnt roe following is a possible ann:+ tnyb1 j+teor7m*jswer for the magnitude of the resultant?

  Three forces, each having a magnitude o wt;l8b8s kfx ycc16w;f 30 N, pull on an object in directions thc;s;ct lyk1w8 wbfx86at are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector is 5hnn()wim rl48sypp 7

  Ignoring air resistance, the horizontalixdt/vy. n5v7 ,xtun. component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60fdi:kkt1 ham8h.p );d88x,rg m lewg6e above the horizontal. What is the horizontal component of its instantaneous velocity at the exac8kf8 h)egxh.p8m dkgwdrm6:; al it, 1t top of its trajectory?

  Ignoring air resistance, the horcp9a oufq5 :95jpn(v hizontal component of a projectile's accelerationvaq 9uj9:( 5ncp5pofh

  A soccer ball is kicked with a4mrvwy)pm q)/;a*oa db, 0,bk uk q5uw velocity of 25 m/s at an angle 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 object is directehm3io,,3 a exapd96oe d anti-parallel to the velocity vecto33op6oma9i eh daex,,r,

  If the acceleration of an oblyth .qwf+0tt 7)f6l cject is always directed perpendicular to its velocit +tyl76t.fh q0clwt)f y,

  At what angle should a water-gun bzhhuw 4xo 9c(jdg ::)de aimed in order for the water to land with the greatest hori h:cj(h49:gowzd)dxuzontal range?

  An Olympic athlete throws a jav t(m5y(s+zu (dmz ;p)1oztplm elin at four different angles above the horizontal, each with the same speedz+d(1)t( pmupo;5(m mzytszl : $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 thr m(d0iruz plg, .ji;rcpsm )ns660nc/ d2y q2e ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) r6sur(m n )nigj2sircp ;0l z2.qddpmc0 /6 ,ywould be

  A ball is thrown at an original speed of 8.0 m/s at an angl8/mmuuol:1crb 5z:).pxilt / )7wz xwsbfp 1e e 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 reaches its maximum height, how dmpqs8c.q 3iiu:3 ;k4* hw w5gjbpce u9oes its speed comp3w g ;mei 5:sukcqbhi.c93 jupw 8q*p4are to its initial speed?

  A stone is thrown horizontally from the top of a tower at the sam iqi g/yqw;wi65)hzs1-t l5fphkl.:d e instant a ball is dropped vertically. Which object is w .5 tgh:s6h/zqi1 )-;qi5dlfilpkwy traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is drop t:h+iwq*w(t tped from the same height. Ignore air resistance. Compare the times of fall of the two :*w+(iwqhtt t bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 16ci/pr15 ; y xz(gi0t+( ivbjmk0 m drops a package. Two seconds later it drops a second package. How far apart will the two packages land on the grou/g(t +1j0b mi(r; xvi icy5zkpnd?

  A package of supplies is dropped from a plane, and one second later4by r-njm0 m -xio ts)e.qt;y:elpi 7: a second package is dropped. Neglecting air resistance, the distance between thel-.:pbem j4exr)q0syn; y :itoi -mt7 falling packages will

  A pilot drops a bomb from a plane flying horizc5kn o4i:p b.uontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane4.niub okp c5: will

  The acceleration of gravity on the Moojs) dd6xxb t,a p-qt66n is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Ear)qj tsd6ptxx6- ba d6,th, the ball would land

  You are traveling at 55 mi/h in the +x axis relsz 3.djj lsg.pw: hjdw:0:d) cative to a straight, level road and.jp:j sdsl3w0jc .dg): zhw: d pass a car traveling 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. Y nx5*wos/ ms6j7hkbi6: lpj5i ouj*sii6/6 sl5n: 5pkm7 jbhwxo start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much tim m;rlao wn533 jzzcyxr(g. :/ s bjz.xhit17z/e will it take youz5a c ;1h :/xxzngwjsjtiy.rm7/b lzr.3(3oz to move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degoo fy22a(-u )mvg;ib a9t et;wb;9xq rrees below the +x axis. The y component ofo 2t;2ybfgqmw9 bxaa-i (;rt e;ou9v) A is

  If a ball is thrown with a velocity of 25 mc7n o;uslvb wby;irk4 37(rp 1/s at an 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 direction north of east and yon x0; :8vwc:pcc o0qgou end up 2.0 km north and severc0n;qoovgp 8x0ccw:: al kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12. 4 ;.7bfiaj0lvhmlmgi as o;9(0 m/s. The x component of its velocity is 8.00 m/s. The angle between o9;mail04jms fi ;a(7gb.vhlthe direction of its motion and the x axis must be

  A 400-m tall tower casts a 60ips19.vf ,cwirsy ) 9u0-m long shadow over a level ground. At what angle. )fwvissi p 9,r9yc1u is the Sun elevated above the horizon?

  Two vectors A and B have components hpcy13xw gy(n,tg.w b3 xn11b(0, 1) and (-1, 3), respectively. What are the components of the sum of n w.yg 31bx(,ptx ybgw3n1c 1hthese two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivoi51 (z 9altjoely. What is magnitude of the sum of th (atj95oo zi1lese two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A s6, dl6y0cwx-b; i yvieeote+ol,(-k+ B . What is the magnitude oti+6vl-oecwl(,;6xibs do,0 -e keyyf C ?

  A car travels 20 km West, then 20 km South. Whar-- ; xxxw/ 1j/n: j)xit2js7t fynixht is the magnitude of its displacemwft/;xsr x/:jxxy7-)tj -12xini hjnent?

  Three vectors, expressed in Cartesian cokrq+66tiq d,rhj r 6w6ordinates, 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 Cartesian coordinates, areei5.hhm u3k78zvbt-c
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 thezkd(w.d *hhcd 3e(0vh magnitude of vecto0h3zed (d.k h(*whvdcr C = A - B ?

  A runner runs halfway around a circulyu +ufxw*fw: :8v2ssk ar path of radius 10 m. What is the display+f8s:ux* w2vsu :kwfcement of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnitygyb x6-q6u9u 1nt 3z-kxce*x ;qsjg, ude of the resultant foru,y9c; xgeq tjky-6g x-xq*sn61 3zubce?

  Two forces are acting on an object as shown in Fig. 3-1.lm-v.t 8k op9 w 7v5.fxlvz3uj What is the direction of k9x5mul tjl.v-.pfo8 vz 3 7wvthe resultant force?

Vector A is 5.5 cm long and poit:sc8k5iuanyl jxw -()t k j6x h(rk48nts along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x a5la(st x )nrtkhj ykc8xj-:8w4i6 ( kuxis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm ll2o3xuevut:5 t1a w7l(ch te;ong and points at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown horizontally with an initial speed of 1062ex ww b.b7sg m/s from the edge of a cliff. A stop watch measures the stone's trajectory ti72.bbg x6swwe me from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, fromm*4*o.i or-i ufhi v*y ;)zw*lr nftp. a bridge. It falls 20 m to the water below. How far does the rock travety in..hluwo4*vfo; m*rr) i-f * izp*l horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the grouny.ef1rryocgz(6xuvv4c 6 6: wd, strikes the ground after traveling horizontally a disxr:c f61.vcyvyeuw 4( o6zgr 6tance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angycb(tntm9ef c4s61 -qv:z1gble of ft mce1-vsz1byq4bn9 c(g6: t$20^{\circ}$ 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 jumpyfb3.1xkw:vk with a speed of 12 m/s at an angle obv3w x .:1yfkkf $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initiany 8imxv 7h,9z-gn7ac l velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched wit 8 p w fe604q*0u(cvciytsit2th an initial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired a w x06c)y s.nujulm25bt an angle of $30^{\circ}$ 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 horizontally at 23.4 m/s from tekm: f 2. f5(ufkcqv 6yhuw-3phe roof of a building 55.0 m cffu.u 6ykehq-vwfm2 pk:3(5tall.
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground level with an initial speed of 55.6mv*mwljqxk69j wsa8w24f)i6 m/s at an angwxlwf wv96maj6 sq4i)*kj 28mle of $41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500-m race at a velocity of 4.0 m/s 0xj8h ov1y:g6tid z05nfy kp9. 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 would take you to finish would bex9 : 0ip1fjn 05yzv6tgh8kdoy

  A plane has an air s ,wr,e8/(md d,c mxbkhpeed of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plx/,dmdkewrcm(,b8 ,hane's speed relative to the ground is

  A plane is flying due Souty+heu+ z,r ,tbhl- ov6nwpiax a29-s6 h ($270^{\circ}$) 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 speed of 120 km*r r hj5,s(uwm/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 projectileccz4b b-pf u4. with speed 50.0 m/s in a forward direct. c- f44buzpcbion $30.0^{\circ}$ 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 direc)uitms ,+vbab kvxk-;ph*f 1( ted across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses th k hspf+tb1i)a(kuxmv,; vb-*e river?

  The driver of a motorboat that cafik f4i yv)q 3g5 rj;*s1bg9b-4p)vw w. gqjdbn move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long willg.b bgd;fpq4)-kvv j 3rq9si *g4yw)1f b i5wj it take to cross the river?

  The driver of a motorboag .i l0szbtvymry8,(+t 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 ang.8t0i srzb y,gly+vm(le upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposiw;bh*4nps px *w/t/kjte bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still 4*; pk/wbshx*jptwn/water?

  A swimmer heading directly across a river 200 m wide6ny:onncu) u7) wurm4 reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the spnomn:u6 4yr) wuu7n)c eed of the current?

A boat, whose speed in still water is 1.75 m/4w n;ykl cqz(6s, must aim upstream at an angle of (ql z6wy ;k4cn$26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.