Which one of the following is an g6(mr,9hw / t8t0ouci/ikbshexample of a vector quantity?

  Which of the following operations will not change a vecte -q+adb7l3mxad/zl3pooe1,or?

  Which of the following is an accurate statementf)y/ b)dpk(hkc qqf*p+zzny1 / ixk/ 2?

  The resultant of two vectors is y g0l5c (6yzqif7zc 9ki je/l+the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivel5,e2hf vt 7u6b;e2bjb )x p0s/wgor sty. When these two vectors are addex j02/h5 tsgbbue6 rb; ovfps2we)7,t d, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50k0ag4pi 9dif0, are added. Which one of the following is a possible answer for the magnitude of the resul d4i pk9iag0f0tant?

  Three forces, each having a magnitude of 30 N, pull on an ossn qgj (sr )zdj s7:*20dc;twbject in directions that wcqdn sdsz 7;*j0j s2gt)rs (:are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknows l-3keb8g7yv n vector is

  Ignoring air resistance, the0 r; k3eekr. ofex,:sjm.i.yas *x6zk horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e aht pmy9znbi *nb)6 ;;ybove the horizontal. Wy*9y n;z6mh; pi) bbtnhat is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistas8ftq -z 2wt8n ws w97e9zixsc9t 8b7qnce, the horizontal component of a projectile's acceleration97n8 csf8qq7 9wzw- 2txw8bti9zs set

  A soccer ball is kicked with a velootv. ,o9a+diw oj/m2cith *s:city 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 directed anti-parallew4jydy j:(, s7adew y4l to the velocity vec, 74swd(yj 4yw ejd:yator,

  If the acceleration d;hykun7. zwx ,88tnn of an object is always directed perpendicular to its velocity,h8nkuz ,wx78.d tnyn ;

  At what angle should a water-gun be aimedyj- a/rnzw*/7 i rz;k, tef,cj in order for the water to land with the greatest t7 eryc-kz,n*/fj,/wi ;zraj horizontal range?

  An Olympic athlete throws a javelin at four differen(yl +)nv56 wx ,fsdigat angles above the horizontal, each wi+ sv65x lwa),f (ngdyith the same 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 yo.zn+; z*azvtn ur hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would a n+zv. nt;z*zbe

  A ball is thrown at an original speed of ,5hp:p4zltbsvd ;i ew+t 3e31:kw s rs8.0 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 rea1 pt;t+vx ;5rtqjz9wgl sr.h 4ches its maximum height, how does its speed compare to its inittlq;.h9;z w rgxt1+vpsr5 j 4tial speed?

  A stone is thrown horizontally from the top of a tower at the samo7cqw;6swc33gk gc ,kvrrj 1- e instant a ball is dropped vertically. Which object is traveling faster when it hits the lecj1kos ,q gc7w 33w6gc;v rrk-vel ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is dropp.lv5-2 cya l:dwvw9 3tqcm1ny8ywn+ oed from the same height. Ignore air resistance. Compare nl qwyyl v8:52c9any. m c+t-odv w1w3the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of r4c53i lv fhtz +i3trsuz02k,160 m drops a package. Two seconds later iskvf,r 2 3hzl34r0+ittuz 5ict drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second l o5zy m 3dh,7,,ltjnnbater a second package is dropped. Neglecting air resistance, the distlon,hz 7,j5dn,3 bym tance between the falling packages will

  A pilot drops a bomb from a plane flying horizonta1l (uix:- n9iew(rpvrpz 3pp/lly at a constant speed. Neglecting air resistancepz/ren 9w(: ppx ii-3 p1v(ulr, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon i q-nr o:n ja:d1 (umtc2cc5:sfs only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed andrc1f5n 2m u:ja::(c-sq no tdc angle) that you would on Earth, the ball would land

  You are traveling at 5ub h b3+ 3rfkn2yke1l.5 mi/h in the +x axis relative to a straight, level road and pass a cleb r3b3ykf h.+uk2n1ar traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a8ka.vzu-9j7 1 c6f3w lkmbej x river that flows due south 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 kvm1 x3bwca -jl9ef6 kj8zu7.point. You should head your motorboat

  Your motorboat can move at 30 kk,plw+p- 1iek+wid3t m/h in still water. How much time will it take you to movp i+ w1p w,3-edkl+kite 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below thgvru3)w.z 1 hfe +x axis. The y c31h.wf rvu)zg omponent of A is

  If a ball is thrown with a velocity of 25 m/s at an angle ofb3, *7vng;q ; qbb20e.or raf)ppej cgpq 5q6l $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight s b)0 sl2t,y/ wji6nxek4p u)aline in a direction north of east and you end up 2.0 km north andwk ubsap/ej)6 4 2t0lx)siny, several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. Thee3d*4 uw*h(shvt0a vb*n bku2l t+y3i. g(iaj x component of its velocity is 8.00 m/s. The angle between the direction of its motio3 kw(30u4h2v*ta a +bygn(*ild*bi e.jshu v tn and the x axis must be

  A 400-m tall tower casts p uor/vjc.7v*0mup1k a 600-m long shadow over a level ground. At what angle is thv/up7o*u1rkmvp.c 0 je Sun elevated above the horizon?

  Two vectors A and B have c+ h(n+ze , /n3vhcfcrfomponents (0, 1) and (-1, 3), respectively. What are the compvr n(, hn/3zh+fcc+f eonents of the sum of these two vectors?

  Two vectors A and B havzl neaeb -h9x/7 d alh)j2zb65e components (0, 1) and (-1, 3), respectively. What is magnitude of ta)9b 2-dz65 aj7xl/eebhn zlhhe sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Whats9ew0ou h;d, v is the magnitude 0ohesv,w d9; uof C ?

  A car travels 20 km West, then 20 km South. What is the me,i+nzh ;t/;j2bt tkg agnitude of its displacementbnz +2/jg ek,htti;t; ?

  Three vectors, expressed il/h02n;;xes ntva *gndf;s j e;g):j wn Cartesian coordinates, 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 v +,cl5vrjhg4-c jgu7 ir.(idcoordinates, 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 ljo jvnts2p,4qs+-e8vector B = (+3.0, -8.0), what is the magnitude of vector C = A - B-veposs n q+lj,j48 2t ?

  A runner runs halfway around a circular path of radius 10 np w 1fg6pe2;d u;z74tbgmk.gm. What is the displacement ofmt1pn6 4.; eb; zfgp kg27duwg the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. Wiqjyks+h p iy e30k3:6hat is the magnitude of the resuq3ikp0j h eis yyk+:63ltant force?

  Two forces are acting on an object ad lf-1 deifb2 nk:h3jgn/n1*zs shown in Fig. 3-1. What is the direction of the resu1 n/ 3bdj nfz nif1:de*hklg2-ltant force?

Vector A is 5.5 cm long and poinyg ym 5bw2u9mgw,ygvp ug+ m3 j9lq26,ts along the x axis. Vector B is 7.5 cm long and points at +35bg,g wl2 y3uv2mmyj9pyuq +6 wm,9gg0e 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 poinzydo;/(cv-(s dl 1s xj1dip+n ts 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 aohq ,e/cm53mrwkpo3u0 kdb 1 ;n initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom tcep,ouq 5w/ 3o3db;hk r1km0mo be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, fd 1jx9cf yh8(5jv .3ekbkg 8oprom a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before striking the ek fv(9bg.1k yoh5cxjp8jd8 3water?

  A ball thrown horizontally from a poin)e ggsi80 mhvjt+ /0xet 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was ig+ xtg/s ihv 8e)0em0jt thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an an9z ykg9)vgr )7n6 chddgle oz)6 g7gvn9y9)dk drch f $20^{\circ}$ 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 12 m/s at 2d(3lfigm) 3xbt )w exan angle of eixldx(3bgw)t) fm2 3$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an kr x4-)tmgmb0(y0fsd angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s at 8 *3jm6-wwt4ptjxm clan 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 o9odj xqt+p;6w36qvor8zl / c)luj u/x f $30^{\circ}$ 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 horizontallj5frs08 crmzwx- /) nuy at 23.4 m/s from the roof of a building 55.0 m f0m)u5wn- sc8r/zxrj tall.
(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 witc92x2clup d( r.ulic, h an initial speed of 55.6 m/s at an angle l 9.clud, xupc2r2i(cof $41.2^{\circ}$ 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. Iv))me9adx psgn g ;5l:f you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the t5v;mx)d9:slg) a engp ime it would take you to finish would be

  A plane has an air speed of 200 m/s due Nobx/1i 2xis x.frth, and is in a wind of 50.0 m/s to the West. The plane's speed relasixxx21b f.i/tive to the ground is

  A plane is flying due Sou*f;9pjhi+4**wgi ;b ;-d sgztz ugfulth ($270^{\circ}$) 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/h )ccq9x fx)g kixy6fnd/z7**e 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 fi n;sm 0smy*3tores a projectile with speed 50.0 m/s in a forward direction o3 m 0t;s*myns$30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in (aplj 7m y-jk4still water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What i (a7lpymj4kj- s the speed 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 trave+ f1sy,xhgt y1 dlv8l(l directly across a river 1.6 km wide in which the current flows at 5.0 m/s.,sllx( gy1 h81ftd +vy How long will it take to cross the river?

  The driver of a motorboat 0wytirx6(rnyr*60l z 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 shn06 0w(ir *6trryy lzxould the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the o)b08nx serlffp)(6 e npposite bank in 6 min 40 s. She is swep f)8sfex nbrlp( 6e0)nt downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m 9o,ju tv.k2h awide reaches the opposite bank in 6 min 40 s. She is swept downstatkh. uv ,2o9jream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, mustc p ouhz(a.xd+ r6i e08a.1fuv aim upstream at an angle of+r1ozuf p.u(dx0ic h 6.a8eav $26.3^{\circ}$ (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.