Which one of the following is an example of a vector qua0 o5-k e-odxb *zy,fgrntity?

  Which of the following operations will not change a vect a1f3gza c;x8p. yb;yaor?

  Which of the following is an accurate statem+t2g w; 2xfnatent?

  The resultant of two vectors rf2 :jju-e4iq is the smallest when the angle between them is

  Two displacement vectors ha6k owo0;mwm9(w9emvy ve magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, th0 mw9m;y9e ovwo6kw m(e magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the following is /ps7x.a m15b tkau*wfa possible answer for the magnitude of b7 sktaufwx5m1* p /.athe resultant?

  Three forces, each having a magflhq mr 4:22c ka:kmdw4ci)z 2nitude of 30 N, pull on an object in directions that ac2qi )lr c2ah mkf2zwkd:4: m4re $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector imls2r9 acg2 r5nf/ 5dhs

  Ignoring air resistance, the horizontal component -ysm9h 4obkttz xc0/y3:s:4nn isq3eof a projectile's velocity

  A ball is thrown with a vele0v28u:sx 2 bu m w6asc:s.0maj) scziocity of 20 m/s at an angle of 60e above the horizontalv0b6s c2wm8z:x u: ) a0.jm cesusa2si. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a proj+zj;8njn/h un/h 0ebuectile's accelerationh zh+njj//;b ueun0 n8

  A soccer ball is kicked with a velocity of 25 m/s at an an/ rlm2: g3j36j4 yvn5msdum d1bs8fwxgle 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-parallel to the vejnx0nr+ 9me9clocityx n+c90jmren9 vector,

  If the acceleration of an object o l;paf k+m-q,is always directed perpendicular to its velocito,+flma k-pq ;y,

  At what angle should a water-gun be aimed in order for te;7js ok qgy+5r2 3ynvhe water to land with the greatest horizontal ragk 5qyos73 y 2rn;jv+enge?

  An Olympic athlete throws a javelin at four different evoz+e/ly99s2v lsave2 ):bs angles above the horizontal, each with th9b/ l v9:z2a eveo)2sv lye+sse 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 le xvv-j nk0 qcn:.36vq51uu6qdesqt: gaves your hand with twice the vt6 -k q5. vn3gq:1cjs:6nqqvvu0xudeelocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an ols/,te*vp/zmzu j vhq6o:7g/riginal speed 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 fiel 3(i0hn:xgbfcw25 uzrd goal attempt reaches its maximum height, how does its spee0c5rb3(whi: z2ugnxf d compare to its initial speed?

  A stone is thrown horizontally frofr7: bnf(2dqe m the top of a tower at the same instant a ball is drfn: 7erd2fb q(opped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horimn2 oce,*6dmzz. y+duzontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the tiy*nd.z, m2u m 6eo+dzcmes of fall of the two bullets.

  A plane flying horizontally ae*xl xc x2*9* wswlbt3xyqz1/ t a speed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How x*wxb2wt/ c e1l y*3l*xsxzq 9far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second la,gmk9:aai op+n5;mjdter a second package is dropped. Neglecting air resistance, the distance between m ; ijp9dk,an+o mg5:athe falling packages will

  A pilot drops a bomb from a plane flying horizontally atl+v/y9 dp2 tdd a constant speed. Neglecting air resistance, when the bomb hits the ground the hordd2lvd9 py+ t/izontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. If u8om c*py(9p;vbjnr5 cd,zwyl ;m 7s-you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the ball would lzr9,v*8b;n7m5c l-yo yj m(pudpcsw ;and

  You are traveling at 55 mi/h in the +xx) v3 sagr-a atpre31 (k0 g(2vxpog;k axis relative to a straight, level road and paso p argvx(as21(3 g) -03xt; rvkgakeps a car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a riy5/y 7lae.,a)qydd gdver 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 starti5y, ae/ddg7qdy y la.)ng point. You should head your motorboat

  Your motorboat can movec,55,pxdwfh j at 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river 5phxj 5w,c,dfflowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30xu7of 14 r(pxox/c g.d degrees below the +x axis. The y component og. 1 x4ouo/x7r(xfdcpf A is

  If a ball is thrown with a v;b67)d s gs juquq/t-felocity 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 straight line in a direction north of east and y9ufm4 ;pga;a:5:i3n0suu5 i*fq u m.x slxejsou end up 2.0 km north and sevp:ssf;mi 5 0guqn xu; iuaxfs:j*e4u53 al.9 meral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a spestfjy/g*7x(t*a b x *(;5h(nod hqtzbed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its moti/hgb(yq n5aobt z*sdh ; tf*7*t xj(x(on and the x axis must be

  A 400-m tall tower casts asw(q , (x) :wqqufq)jpn+lfy * 600-m long shadow over a level ground. At what angle is the Sun elevated above the horizon? y(qjs,* f()xupq) :lq+wn fqw

  Two vectors A and B have components (0, 1) and (-1, 3), respective a26 o5zmeggdbibf*1/rbc w.;ly. What are the components of the f. z*ma 25robcdigw6be;g/b1sum of these two vectors?

  Two vectors A and B( f3.riw a)zh7a1h jct have components (0, 1) and (-1, 3), respectively. What is magnitud( c1t7ha3hi)arf w.jze of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is w/fxscq ub)6+grke3(e5 k-nbthe magnitude ofc(- qke /usrn gx3w6)bbe 5+kf C ?

  A car travels 20 km West, then 20 km South. What is the- yq 5 67ttqz:k ktw2vd,x*gqur i2tb6 magnitude of its displaceme q:btt- kqwv,2tdr*zukgy6q27 i65xtnt?

  Three vectors, expressed in Cartesianep**mi ken*d ) 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 eyab /yg d5bq7n )e88ecoordinates, 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 mg q4mykg 09,nmagnitude of vector C = A4ymgg 9nk,m0q - B ?

  A runner runs halfway aros5a3j4zauuur 5 u bvy50p edcv2c 8.9uund a circular path of radius 10 m. What is the displacemeuuu0supy2cavdc 39 5b.j 5uzerv a458nt of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the mah 4-dv82imp +csiv0jognitude of the resultant48h 20c+j viov-dsmi p force?

  Two forces are acting on an object as shown in Fig. 3-feu3d a 8..wcvrxy6h*)y0 ens1. What is the direction n* s0683xry. yeuwa.cd)ehf v of the resultant force?

Vector A is 5.5 cm long anda1t8qwu w)9l f;ez:yma8rp v 7 points along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axisv fl:1 ;z9tp8 mauqeaywrw 7)8.
(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 ad.50a r //vqwa.tokupoints 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 ofithk2rd32uq04 ;mi f w*g .ddf 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 to be 4.3 hk22u mgd3.4;ft0idwf *rqi ds. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, fr/j.rlmua4+ mo rk;5 :pri5 hqsom a bridge. It falls 20 m to the water below. How far does the rock travel horizo/5ij5mrsrpo:k+ q.hr ;lu4 mantally before striking the water?

  A ball thrown horizontally fro5xv/s qsy;w)w ngg5d+ m a point 24 m above the ground, strikes the ground after travexs )yswd+g; /gnwv 55qling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the juhk02k1 b :va 7pzdcb2qmp with a speed of 12 m/s at an angle of qc b h2a7 vzk0p:dkb21$20^{\circ}$ 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 o7sxa8g.n :km uennl6)k drppf7:)r8of 12 m/s at an angle u6 nl nf8k r:d)mo)n8gspekr 7:7.xapof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 6 f*-rnwg efh)fpf(s 140.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial vep7c zx3, bd5xjlocity 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 angl:qbj*e lwr2r-stbsy(;5 5, oj8nzwipe 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 buildinge7f 8ol *c:ei +t0mnnjxbu h;7 55.0 m tal7h7ni:8+;tnol0e m x feu*cjb l.
(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 wivh1o:-9r*khnt.yn0 e bvy 6ts th an initial speed of 55.6 m/s at an anbnv0h1.t n * 9hr6 vysyk-t:eogle 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 ekqgntics)( 6fvj.( 5 race at a velocity of 4.0 m/s. If you ran the same rjie)nv(sgqt6(c. f5k ace 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 be

  A plane has an air speed of 200 m/s due North, and is in a(sgmmnwqp 6( 2ws1.rm wind of 50.0 m/s to the West. 6wpqgswn(sm1mm2(r .The plane's speed relative to the ground is

  A plane is flying due South cep uv*-,fcpe9wfp*: ,ta9gh ($270^{\circ}$) 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 :5y29ga: ifgojsna1p4q5 rkvmtt*vf7 xvi8/of 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 fir /fvv ttg1-27ayp9 sfues a projectile with speed 50.0 m/s in a-tsfpa uv7 2 /fytg19v 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 wpk0u,qn;,gt t ater is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the bqpn tku0,g t;,oat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still war/-cs yl8x5 cmwnui:+9z5 7 lxya+ kb6rchuk ,ter wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. rw7s +z8ulnbi-/5cxr6c c9,yky u +5lk:m hxa How long will it take to cross the river?

  The driver of a motorboat that c1l+6bijt p kltt))p2oan move at 10 m/s in still water wishes to travel directly across a narrow strait in which the curj loptit l)1kpb6)+t2 rent flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite banks)m6 pk5zev)3z+0hzpum7f gj in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water)pz)vz0msfhgez7 k+ju3p 56m?

  A swimmer heading directly across a river 200 m wide reah9cx:y:z * :vkrzwb s-pv:.bfches the opposite bank in 6 min 40 s. She is swept downstreamh-kb wrx:ybz.v:z9pfc*v : s: 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an anglez9ac 9fpquc(*notyx ij (;n87 of cp( ao7(cz;n8 nj9fitx *9 yqu$26.3^{\circ}$ (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.