Which one of the following is an example of a vector qkz0yx 6:xorrnz7 /f8 vr 6 5(knw:vqhfuantity?

  Which of the following ope h2n ldtg*ntkcy6 37l3,c*vz6k6 (ru tt5ln mfrations will not change a vector?

  Which of the following is an accurate statsdf1 ggw0fq-. qcy qz9,k.ms8ement?

  The resultant of two vectors is the smalles j3bjijw,x h4n ;vzi22t when the angle between them is

  Two displacement vectors have mag w-sd inad8chv 1;i8.onitudes of 5.0 m and 7.0 m, respectively. When these .v-diwhcad1oi;n s88 two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are addwvbaxz. )8j lm y(6 2 mwy(gs;xvg65a.nyb2hzed. Which one of the following is a possible answer for the magnitude of the(a.h gw (jnb6may;2s5 bxv2 )z68 .gy mwylvzx resultant?

  Three forces, each having a magnitude of 309ub: oh/plsq vo0t k8( N, pull on an object in directions that a: ok8lvp/9obt(q 0 suhre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectorc m6foi*cc9gpu la2 ,8 is

  Ignoring air resistance, the horizontal component of a bsof/c0erdz d2 m29y +projectile's velocity

  A ball is thrown with a velocity of 20 m/s at e: qk-x4 gab6oan angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocitykoaeb-: qxg 46 at the exact top of its trajectory?

  Ignoring air resistance, thez-h*-az7tl 6zahg xc7 horizontal component of a projectile's accelerationx-a g hzzh-l76 7*tacz

  A soccer ball is kicked with a velocity of 25 m/s at an angle of (xiykyp7g/afcy5* 7 h$45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector ukqgo 8-51v.ht vx2/qf) mu dnof an object is directed anti-parallel to the velocity gu xv- /h1odunq.5qm ) 2v8ftkvector,

  If the acceleration of an object is always d9olo 3ra4c bcz*2a/amtwb+,h irected perpendicular to its velocita 9cotc*b+ho/br,2 3 la maw4zy,

  At what angle should a water-gun be aimed in order for the wf s5azk-vyr12m z 4.zfater to land with the greatest horizz.v -15f2 zkmayzfsr4 ontal range?

  An Olympic athlete throws a javelin at four difej+mbk.:f.- w o n2rylferent angles above the horizontal, each with the same speed w +2mn-fjerlob k.y:.: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 leavep( j( jnanv x,dhcf8 ;b)bdo7 2b(c*als your hand with twice the velocity it had on your first throw, its horia,xd*oph( n(fbjd lc)acb7v82b;n ( jzontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle ofm4fvs5y e -p4ih/q4ju $35^{\circ}$ 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, mq,f1j e/lod7 how does its speed compam 71ojlq,/d efre to its initial speed?

  A stone is thrown horizontally fruhy,i9 /e 4ayaom the top of a tower at the same instant a ball is dropped vertically. Which object is travauy/4a y,hi e9eling faster when it hits the level ground below?

  A bullet is fired horizontally,z 7 7qhuvj01wp and at the same instant a second bullet is droppqzvu 7w pjh170ed from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an ezr6 v55fyl7ublevation of 160 m drops a package. Two seconds later it drops a second package. How far apf65vuz7y l rb5art will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a secopj inx4ko3p299wwl j k mx9azvlj2- 9-nd package is dropped. Neglecting anpo9a 2-x -jv w9ljx9mk p9jzil2w 43kir resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane5 pxdqvt+ 665dqloii5 flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal locatdvdqt 6ql o5 +5xpii65ion of the plane will

  The acceleration of gravity on the Moon i72v;dnmeq f( qs 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 Earqd7qf ;(ven2mth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straig y9:/vbwad;6- n iw/.eodyzeiht, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to thiwez/yni;eva b-/ do 9wdy6.:e other car is

  You are trying to cross a river that flows due south with a strong cujdsc )g j,be4nnbv7 2-rrent. You start out in your motorboat on the east bank d-)nb ng2b j, d74vsjceesiring 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 time will it taq-h+6g -kkjfh46q qmeo/z a fk+vf*l(ke you to mov- qeokffkh q *z6aq++fk /mh(g-4jvl6e 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at a wgaj4d ) .u8mpvek kd)-/i/bgn angle of 30 degrees below the +x axis. The y component of A8/ /w jm-.kgv)eigb)ddkpau 4 is

  If a ball is thrown with a velocity (qbd/h/et; 0 m 9linckof 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 straight line in a;c0 oh8kmr.nk qd:t4 f direction north of east and you end up 2.0 km north and several kilometers east. How m:;k8rc .fdt hk40omn qany degrees north of east have you walked?

  A butterfly moves wi-:3 z wmw-gtelth a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the t glmw:we-z3- x axis must be

  A 400-m tall tower casts a 600-m long shadodv26va vx.of83. ,h zawdif7pw over a level ground. At what angle .f .v8zaoid2hp7 dvva,3f 6wxis the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whafu5 xpx/yio1.ln8ov g1e if(cf l ):u;v3/yvyt are the components of the f/ y u1f.xgce1y vp3iivvfu)(yo5x l/ln8;:o sum of these two vectors?

  Two vectors A and B have components (01 wvril0lnkh9d .:1 af 0af,)fe yngp2, 1) and (-1, 3), respectively. What is magnitude of th,nrkgviyl f fel.wad 2n1)p :0019hfae sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnitudd1a rd w0e9r/de of C ?erw r9d1/add0

  A car travels 20 km West, then 20 km South. What is t)hak ugdcv 4w;,5t*jq he magnitude of its displacemkdu4j, vtq;* 5)cgahw ent?

  Three vectors, expressed4+nu- 201ebijpln uhb278ux zd kc gt5 in 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 coord4 (xcox:(0 zxx bm*evginates, 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 magnitude of i 0uvo8,9b*vqfpf.* v4sd jclp,;hfn vectorq ohfbnvp v8**p0vflfi.u d;c 4s,,j9 C = A - B ?

  A runner runs halfway around a circular path of radius 10 m.( g(y0q qo5x1gjbfmn) What is the displacement o o5 qq(b(jg y)0mnxfg1f the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What)vs u*ks97mb5x g0csu0x9sr e is the magnitude of the resultant forcv* 9rbcs5s) 0usgxu0 sk9mx7ee?

  Two forces are acting on an yi g)g x r8,+ov pr 1molf9rfw7,1as8a 2:xyslobject as shown in Fig. 3-1. What is the direction of the resultant force x or v7+981r)f8 1sx:goafal ywy2,gmsl r,pi?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 ,jrhkyby(3//fbo d,dcm long and poifd,/jkh by3dyb,(r /o nts at +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 longo1kxf2w t.w,gl:oy s ,qyri;2ap6 ugm u5;ha2 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 horizontallyc 5wl:qu+1yzp 2sxq/k with an 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 boty1c wulxkz+/q52 s:qp tom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontall8qk2l -knnwee)gm031 jq2bl . hct+gsy, with a velocity of 10 m/s, from a bridge. It falls 20 0e2kwg 2nn8tgq3.lcj 1he b m)l+ks q-m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontey /q; wuwj.)3 n/*mloq9xyah ally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what sp9) a j /3w lyxeqw.mno;/q*uhyeed was it thrown?

  A jumper in the long-jump goes into thesyv3//f t:cfb jump with a speed of 12 m/s at an angle of3s/ ff vcty/:b $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes 0,rh bqf x;gq4into the jump with a speed of 12 m/s at an angle ofrfx gqq h,40;b $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an angle o(csi,,+af r *( 9ateyw9yoouqb o:ek8f $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s at an anglhp.v8 8+p 4zh2o+qvoi uvhr6we of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired /rlvar2he19 mlsc;;yyr xmy vm91.7a at 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 building 55.0*at, 7o;nwl(yfnz, eb m fyn,7olb ; z ew*tna(,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 with an initial speed of 55.6 m/ 6gkc z;cw.lci;:khj/s at an angle of kz k;:./hjg6clc;w ci$41.2^{\circ}$ 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 wi 4q. cavq( ljuj2j6ny0nd), you can run a 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 wjjcaq (0n2ylj.u64q v ould take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in d(hc2 dxo3ck)a wind of 50.0 m/s to the West. The plane's speed rx2dh(kd 3coc)elative to the ground is

  A plane is flying due Sout3,cxh4mll -pcjy/ll 57 ynl s/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 ooy :,62e,oqn.ma z 0ql)fiou wf 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 gcx );7zytn)wprojectile with speed 50.0 m/s inz)n) ywctx7;g 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 dcgn1mq+ae .si3m4*p water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is mne*cs dqi4a.13g +m pthe speed of the boat as it crosses the river?

  The driver of a moto )hrw6 6.urexirboat that can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flou 6h r6.)ixrewws at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stilmnyf6 :h9n*g1 ,som sll water wishes to travel directly acl1mnofh * y,s9gmn6 s:ross a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 a :/fga+c anb3p3;zfv48sglg m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in sti4n38:as3+ gbf gp;zglc fv/aall water?

  A swimmer heading directly across a river 20hfc+; w()5evvno 9;zm vhdsu40 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is then(59 szw;cvd )mf uh;o+vhev4 speed of the current?

A boat, whose speed in lz p5pprp:.s2q3/ t gfstill water is 1.75 m/s, must aim upstream at an angle of 3z2pflp/rg5:q tsp .p $26.3^{\circ}$ (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.