Which one of the following is an example of a vector quantit3:kp va(q :e)kiziy2i y?

  Which of the following operationsz .pryh0 hu7h* will not change a vector?

  Which of the following (, ikst 4pwuqk8.4j g3cpog- xis an accurate statement?

  The resultant of two vectors is the smallest when thzoo7 qsk8 l0i; b,h5whe angle between them is

  Two displacement vectors have magnitudes-ta5u 3ho i,cec 3*gsm of 5.0 m and 7.0 m, respectively. When these two vectors are added, the maocamhc itu3 -g5 ,s3*egnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the following is -pmd rm ;v.cg5v4 r*ila possible answer for the magnitude of the resultan5 c p;gd*-m4irm.vr lvt?

  Three forces, each having a magnitude3jvi.s u bn mz0z4*8sp of 30 N, pull on an object in directions t3 u8jpmvbz issnz.*04 hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector is mc.mxvj5lrj8z)iwax7ny1 0 6

  Ignoring air resistance, the horizontal component of a projepinpz*) b0c6n5u7ojta/0 ehl*z h,s3dli: k qctile's velocity

  A ball is thrown with a velocityhy /)s qoxpx53f .l jueo4ap jk-h)7*t of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact 7)y.h 3ojas4- t fxkoqlhupe5xj * p/)top of its trajectory?

  Ignoring air resistance, the horizo0kfcmvv e5p,3 ntal component of a projectile's accelerationvv 0cm5pe3f,k

  A soccer ball is kicked with a velocity of 25 m/s at an analmnadugj/ 1( 4wdp1 c;9j9u jgle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration cuw )b*0s sd.b8 by/fmvector of an object is directed anti-parallel to the velocity vect0./)bb f wb 8smy*sdcuor,

  If the acceleration of an object is always directed eo . nrha*1co)ofzg 9r-0hba, perpendicular to its velocity,o10.a,9 ch) rzgnoob*rh-e af

  At what angle should a wayn4uin v7-y arm4hr .6,3 iymuter-gun be aimed in order for the water to land with the greatest horiz v6uym7,u3r -har.i4ymn4 yinontal range?

  An Olympic athlete throws a javelin at four different angles a2qp8mq;b;f y0j f7h d 2mbzxx*bove the horizontal, each with the s q;*87bmd j fpxfbzmy2qh20;xame 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 hand ws;c4-2i:jbnj j* qv/fd kz5uaith twice the velocjzv*j: 2cq/ju 5skf a-;bdin4ity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original d,; pfa8equx4speed 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 attemfxvi a,v+ ft,(kc4hy 8pt reaches its maximum height, how does its speed compare to its ini,ck+iv8f xav4( f,yh ttial speed?

  A stone is thrown horizontally from the top of a9+gg,v4h 9y ws +ozidj tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ground+o 9 ,y4sigz9hdjv +wg below?

  A bullet is fired horizontally, and at the same insts7ce c(dp( nrwvb82 +zant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bullets.wv(rdscb+ p2znc (7 e8

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 160 m se2 v2-oysdu-1lftyg zf00zz0 p (.fw drops a package. Two seconds later it droo (zz yus-fzp-2l y.swd fftg 10v0e02ps a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped frts b95autm q6;om a plane, and one second later a second package is dropped. Neglecting ai b6qmu9;5 attsr resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizont v,x9hdo,6 2z xu, pmyj1virk(ally at a constant speed. Neglecting airz9dy16m, iv,v ,uhxo( pjxk2r resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of graviu,w90lyeu9 cl ty on the Moon is only one-sixth of that on Earth. If you hit a baseball on tl0 le9c,9w uyuhe Moon with the same effort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straighsbr. ak)0tf(d t, level road and pass a car traveling at 45 mi/h. The relarsd0f()a t.k btive velocity of your car to the other car is

  You are trying to cross a river that flows due 4x z/e k s*a7,d2h: yrw3s*92cz;vubv xferuqsouth with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should he2urz9dsvzk*,xrs cy;qe 7u /ew 2xfa*vh3 :b4ad your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will it tarleg/ ;j/id9eke you to move 12 km downee;j ld/gi9r/stream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. Thg7j;3 1jilcikk 7r72suz zwe (e y componeng1 i je7kwu;7 l(z3c ij2rs7kzt of A is

  If a ball is thrown with a v,f )w4l 36qp.g+b(gcfs ,eenm;d fcwselocity of 25 m/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 svzma a0 y*9vf-traight line in a direction north of east and you end up 2.0 km north and several kilometers east. How vz -f9a*vm0ay many degrees north of east have you walked?

  A butterfly moves with a speed of 1 +9ffo cenp-3sck)oen- o.;mi53 ckgf2.0 m/s. The x component of its velocity is 8.00 m/s. T;3o.-fc3+9 kcf moe -)penc onif5skghe angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a lev;u 2u ,x1wvcojel ground. At what angle is the Sun elevated above thev12uxc uoj,w; horizon?

  Two vectors A and B have components (0, 1) and (-1, 1etinl p0av m)/k)cy:q9tl; v3), respectively. What are the cotmi pltnv))y1 c ;9aek/lqv:0 mponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1m 7hu0i 5.m4,smxe fnl1l3 yxn, 3), respectively. What is magnitude of the sum ome nui537 xm1nsl,lfhxy4m.0 f these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magni, /j5vci , o.bscnh80*stfdzitude of C ,jo .5cb idthi8 fvs *csz,/n0?

  A car travels 20 km West ,v vexpe(t1aq,pugvwk/+h / 1, then 20 km South. What is the magnitude of its displace1qk, xup/ve/gvetv+ (p,a hw1ment?

  Three vectors, expressed in Cartesian 9m):kp 1tu4kt g xehkf5p5tt 2coordinates, 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 coordinan+t 5q( bx-hrztes, 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) a;qbe (m+o-;hjqu j ;aznd vector B = (+3.0, -8.0), what is the magnitude of ve-+ qhauqe (;jb ;jz;omctor C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the ux id dab** /8w5mm5wodisplaceb8mwdxm5iu**do a5/ w ment of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What u33gpy9s ma9ds8 tv 7fhf *vbtjx+r;0 is the magnitude of thfdvbm ug7 s+ 3y9tjs;r8vth0 *pf39xae resultant force?

  Two forces are acting on an oczp co4r18ievn o3s)4bject as shown in Fig. 3-1. What is the direction of the resultant forceeos1icz3n4co v48 )pr ?

Vector A is 5.5 cm long and pon/n3a9lg m1rq6ku0tpn k uz35ints along the x axis. Vector B is 7.5 cm long and points atr 0q3l1kag9 3nptun5k/um z6n +30e to 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 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 long and points i,7z 2w/hghh9g z;q* jd4v xbsat $30^{\circ}$ 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 vo;5q. rfru* fspeed of 10 m/s from the edge of a cliff. A stop watch measures the 5 f.f*uo;vqr rstone's trajectory time 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 vel.qbev q)vz9i +ocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontallyzvqv +q. )9ebi before striking the water?

  A ball thrown horizontally fr7h: wouubjz; 7, yuq,0hyj4hi om a point 24 m above the ground, strikes the ground after traveling horizontally a distanc: ui0u h;,74q yjzw7ho,hjb uye of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into sb (2. rh am :apfknv:ug6nv8p-*/eyjthe jump with a speed of 12 m/s at an angle oa(6 n2pb - :rhnv /ey8:ujmska.g*fv pf $20^{\circ}$ 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 s7)vbnt, v osdld6x)7fpeed of 12 m/s at an angle of d)7l7nbxfst d,v6ov)$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial veloci )r*bfq:vwv6f l7+ vk+ hslid4ty of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocit;eo ddo ecn.z0fk7h; -y 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 13c4 ela,2ganbyk0d rat 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 the roof of a/ sy 6 oh*/).gerqxtjv building 55.0 m s*.gqvjhx/ro) t/6 eytall.
(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 groun u9u:jsa. a4 cuh2(limd level with an initial speed of 55.6 m/s at an ana a(c 94hl :umiu.2usjgle 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 zc*tbyd;3g6; u.r ogk at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind whicr;b*cguz. 6k y;3otgdh slows your speed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of 200 m/s due Nortg2q-e g1gb izxksr;-4 r44 onwh, and is in a wind of 50.0 m/s to the West. Tw-srg1nzo;qx4g 44b 2k eri-ghe plane's speed relative to the ground is

  A plane is flying due Sy kl 8 ywxljs*kr40l7)outh ($270^{\circ}$) 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 m1wj2equt - t/x/vau5 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 projec8qc.moj wkk/l0 7zjd3wxk xzx8p(; j8 tile with speed 50.0 m/s inzokw 38j qwl ;08kdk7jc(/ xxmjxp.8z a forward direction $30.0^{\circ}$ 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 waqn0bq+y p54gf ter is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed0bqp +fynq45g of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to travv c;g98p+c5 m0hxm bkyhc8sr3el directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cross the river?0c cyhk; v3g5cx8 b+98rhms mp

  The driver of a motorboat that can move at 10 m/s in still ,p(wy, xop e23/gsbplwater wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At whgby ( o2l3w,p x,sp/peat angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches thezi 8h4cg(c yvn j/d, i:/sxo ckvvcq*1+i5j 1r opposite bank in 6 min 40 s. She vy/+ri* khcxgci1cj/qv: ,sj1 c4i (n 85 zdovis swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bankr8,6w x2fqudc in 6 min 40 s. She is swept downsxdfc8r6q uw2,tream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstreaxc6 b/ni+2c5hg ngze+m at an angle ofen5xzgchib6/+ g+n 2c $26.3^{\circ}$ (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.