Which one of the following is an exa h;5 mzob0bwx0my1w6umple of a vector quantity?

  Which of the following operations will na-i.8 hm9a lvxot change a vector?

  Which of the following is an ac; prr +w)yyqxz/ tv);wcurate statement?

  The resultant of two vectors is the smalle6f36qno8* y t vlf(m.xp-o*ftva ot;gjs t2 d5st when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 fu0,; a y: yt:j7ejp gws---nlt9quui m, respectively. When these two vectors are added, the magnitude of -,y;e0ap-ttu -:wg7 sfj l9unuqj i y:the sum

  Two vectors, of magnitudes 20 and 50, are /nyt yue mx:tn*63+r -bx7lke added. Which one of the following is a possible answer for the magtmnyl/ - +:e6xux3 br*7e tyknnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object5oniai4rj5)jz6 :gq e sy 0uq, in directions t6ej our0, )y5inqs5:zq iag 4jhat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vnzwiv9ps3e(vg71 ha *ector is

  Ignoring air resistance, the horizontal componen2oc(:fzb:l -w-u6t so6rfnkw t of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e abovd) 6mstn6tt,xe the horizontal. What is the horizontal component of its 6xt),smnt d6t instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's accelfcfhoml/ 67y;w5(m.fgit)kq erationq l/6 ow )(yf5kf;mfh .ic7mtg

  A soccer ball is kicked with a velocity of 25 m/s at an anglet/q/mlq mxid+0h x9q: 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 directedax+d s x8qf(t0 anti-parallel to the velocity vector,dtq+x fs0 (a8x

  If the acceleration of an object is always directed perpendicular to its velocit 1(zk;(m nowvl/tkei 5y,e/5tm1 k (oiz v(;wlkn

  At what angle should a water-gun be aimed in alw7qb x 4fbq e(k.z.2r8uws :order for the water to land with the greatest horizontal raqq.w2uf .ber:z 4w(x7lk8b asnge?

  An Olympic athlete throws a javelin at four different angl:9b;i) t2bbqd 2gz wmles above the horizontal, each with the sabi2tb2;:ldzgw 9q bm) me 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 you+7kucm rpfeq412th5 f2rs q2,jgl :gor hand with twice the velocity it had on your first throw, its horizong72csr,r5 flkoj gfp2h1m+24q tq e: utal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0l5h fl7 mt7)mv 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 reaches its*0gw i*lh3qak;d 9i jn maximum height, how does its speed comp;9i3whni j *dq*g a0klare to its initial speed?

  A stone is thrown horizontally from the top of 58 ,4.uuq + ha-vbe jsrgrlv3ra tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits ,.hv4l5rseavuu r3 rq+-gb 8j the level ground below?

  A bullet is fired horizontally, and at the same instant a second bull4 8cnmd:/mnea vlfp3yt4o;m ,et is dropped from the same height. Ignore air resistance. mt 3ne : oa4;vpmldmny ,8c4f/ Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevatibyqzaw.oq5r /+ gdq9)zoz0h) on of 160 m drops a package. Two seconds later it drops a second package)d qzz+gy59zwq.oqa /o r)h0b. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second x9ac9* h+ s9g,hucdmolater a second package is dropped. Neglecting air resistance, the distance be+ug,*sxc9 9h dac9hm otween the falling packages will

  A pilot drops a bomb from a plane flying horizontacfhr;0zb 7xxdv s5-. rlly at a constant speed. Neglecting.rb-s7rv05zhd xx f;c air resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon iifwx8 uz7-n7 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 -zwf 87iun7xiyou would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axyyto; x /fb9i c +9lw7wgzba9)is relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the oti x +;ca/zy b yow9l9t)7bgfw9her car is

  You are trying to cross a river that flows due south with a strong current3e4-w 8fk 7jaxc9hk ik. You start out in your motorboat on the east bank desiring to reach the west b-8jw k 3efacx74i9k hkank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time mlafir8.yap1t:ho -ahe6* y,ql; )ljwill it take you to move 12 km downstream, in a ramhplj 1ye lt.yr6-* ;aal fo8,q :)ihiver flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an ang) nr sx.r3dnh7phx:6b46- 3nnjkagak le of 30 degrees below the +x axis. The y component of A i3d.xak n3h4jxr b)6nn7r6:hn-apksg s

  If a ball is thrown with a velocity of 25 m/s ate 5y*(exml/t cos z*+otz(5fo)/zvn/ k2nw om 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 directit oe5. nu/jrm+on north of east and you end up 2.0 km north and several kilometers east. How many degrees north of ee.urt+5 /nomj ast have you walked?

  A butterfly moves with a speed ofvi7p 9.*kj5qj u n9jpa 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its mot5ja*9upjkv jn 7q.9pi ion and the x axis must be

  A 400-m tall tower castsg8+z0jcsoq h4 mi8u16 5l/rvd 7zjmib a 600-m long shadow over a level ground. At what angle is the Sun elevat178zd 0ri 8um/ b6 hosclivqm4jjgz 5+ed above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respective 8q hyt-,:5 nwf6 j)2h4jdd;dliuyyhdly. What are the components of the sum of these two vlth)dh d6j:juqh 5y4;2wdi yyn,d-8 f ectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whaeiu*,p e r ljiiz-l0z8)2ys5ht is magnitude of the sum of th h lrsz*)i5,0l8 ej2pezyiui-ese two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C7 (g n05swbfuo;ax1cu = A + B . What is the magnitude of Csfox anu5uw07gb 1 c;( ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its dis pr-;zdnbld 5l4tu 3i,placement? n;4 3ll-bzi5ddprt u,

  Three vectors, expressed in Cartesian coordinates,kdq)l d),5vk q 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, m,0eppni4ri* 7lh /n dare
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 m, */ycqd lbeml unu098i4(uoaagnitude of vector nm 9b q0*uel(ui uyd4olc,a/8C = A - B ?

  A runner runs halfwazqvqp/74/1d ( qa cx-p;rsg cty around a circular path of radius 10 m. What is the displac(stx7a-pvr4 / /qpc ;1qdzcgq ement of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. n*+7r5td rca6p qjc ,iqnwlt86:jj.r What is the magnitude of the rc5j6i +tpaqnr.c7l jw 68jqnrr,t*d :esultant force?

  Two forces are acting on an ob0spaltf1 .osr /8grpr)ge ;z1 ject as shown in Fig. 3-1. What is the direction of the .r r0r t gge1zs8plo;/)f1psaresultant force?

Vector A is 5.5 cm long and f1-i -oc(lxqkpoints along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x x (1i- c-lqkfoaxis.
(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 lob*) ai0u(d;m i.viu ghng 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 hor7pkpjlh.q(c1s3 syj 8i9cqe 7izontally with an initial speed of 10 m/s from the edge of a cliff. A stop watch measure9hs8qs73lp ck.jp y cjie q7(1s the stone'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 velocity of 10 6(u/ts+o+g)*f bac3(aaumz rkw8ki z m/s, from a bridge. It falls 20 m to the water below. How far does the rock traa/ks*oum+ 6 tf 83(g w ibcraa)k(u+zzvel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m )mlqe-gb4(gs, u rt 0sabove the ground, strikes the ground after traveling h,lm usqgrgtb-)0 es(4orizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed ow((ffwjee,+o j-os 6j f 12 m/s at an angle of 6 ojeos (+wf( jw-j,ef$20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump ug 9)jrl0f64japi, stgoes into the jump with a speed of 12 m/s at an angle of 9 u)j frplt gas6i04,j$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial vezip/wsz21fbx 5 * k y4u9gs1h8pv9de rlocity 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 initiau g6(i5bd bwttv5rjdf.d3v 8;l 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 at an angle oyanxqa rn.gd5k :7nh *,, 5wssf $30^{\circ}$ 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 os.9v 9qx*4twn - ryfh23.4 m/s from the roof of a building 55.0 m tawr9t nq- fo .9xsv4h*yll.
(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 fbj c6-p5d-l0 gv.yixsrom ground level with an initial speed of 55.6 m/s at an angle od-cpvi yl0xj-s5 6 .bgf $41.2^{\circ}$ 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 o2;mxcif z49 /ifhnje3f 4.0 m/s. If you ran the same race on a day when you had a constant headwind whichf z;iih/2enc4xj m9 f3 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 200mi 7zt,c zdj-) m/s due North, and is in a wind of 50.0 m/s to the West. The plane)7izj m ,dczt-'s speed relative to the ground is

  A plane is flying due South ky fm(4 q4po5 z6vjar-($270^{\circ}$) 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 qi( *a 3a5;nyx3quwrn 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 horizontal8obj3y tghnaq 6)26g3nrf a (uly fires a projectile with speed 50.0 m/s in a forward dir(ufnayjo6ngrabh t86g 323q)ection $30.0^{\circ}$ 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 watwan1)q x+ (fqv ,b,wat.kwy p2ddoc5.er is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it cr. 51c.q,oqaxfdtay2p )v wwd,(b+k wnosses the river?

  The driver of a motorboat that can move at 10 m/s h,qrgv4,8rw;zk2 rovhsu3 a, in still water wishes to travel directly across ak ,or ,;wruv4szg82v,qrah h3 river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboatij tpyw23 mt:v:- x6b+6vzvv7v z6 qzs that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flowt: :36z2szvvz 6w-jpvi 76mvbtyxq v+s at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 .:kjcm8jzv9af45 mtx m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in fm:9. a45mjkc8vtjzx still water?

  A swimmer heading di,qi zo8ilg2c*rectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m.q io 8c,zgli2* What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstreamq* dgztm9 r: c6c6mef( at an angle of9e6tf6qczm r: d*m( cg $26.3^{\circ}$ (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.