Which one of the following is an ej h x ndz7*j*nopf6ehz,. e4,*yn-d ffxample of a vector quantity?

  Which of the following operac;47 lzhuawr*tions will not change a vector?

  Which of the following isluga l6) 8.+hz6camx 6e ui7ur an accurate statement?

  The resultant of two vectors is the smalle. xl*h9ew;vfn7szs y- st when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m,zv djrh. p 2l3a:gr0:v,a nja* respectively. When thesa*:j0h pzal rn,3dv .:gvaj2 re two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are ad rc(n p26oy2y:nucs,6u xdv)lded. Which one of the following is a possible answer for the magnitude of tcdv xu6 ,n26pr)y2nuy lc :s(ohe resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in dire 5a b/f8hui,rqnod6u0mg+b+ections that argiunear+do5u bfb6m/0 q h8+, e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown v ;4xjqzp:vnl3)5+cbjy9v8x pvanqo 6ector is

  Ignoring air resistance, the horizontal com* .ujo1 lgp+wvponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s av2t; o;i)xf d ni/zd,it an angle of 60e above the horizontal. What is the horizontal component of its instan;i2it ,ndof;iz/xvd )taneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a onoz vm*n*k4,projectile's accelerationnmz*nvo4,*k o

  A soccer ball is kicked with a velocity ofbj2na(np.of*inm g* u +.h*xe 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 object7,mppor ;leob:fmz/6 is directed anti-parallel to the velocity ve me zo:7op6f,r;pmb/lctor,

  If the acceleration of an objecy -p bd7b9hvvyz(m;z ro9iv;(t is always directed perpendicular to its velocity,9(yrhmb-dvv;i z (9 y;o7 bvpz

  At what angle should a water *k2tjrt/):qno *jkd r-gun be aimed in order for the water to land with the greatest horizontal rang 2:kto* j*tqdnr )/rjke?

  An Olympic athlete throws a javelin at four different -svh6 p 6cviwqfouf(:,3f0m tangles above the horizontal, each with the samew cff6vm(tuvqi,h0 3o :f6sp- 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 k yau 3nb.e9xttr856xyour hand with twice the velocity it had on your first throw, its horizontaluttk6bxa98r nyxe35 . range R (compared to your first serve) would be

  A ball is thrown at an oriq pkih5 (2nv/ m+e.spjginal 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 field gk xhws 597w9ysoal attempt reaches its maximum height, how does its speed co xwsw5h99s7y kmpare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same insta6zhfyr)np k. d*x+kw-nt a ball is dropped vertically. Which object is traveling faster when it hits the level gr n z)kk+ rph*fdwx6y-.ound below?

  A bullet is fired horizon y8 cij6ekkp8 v4-bsl9tally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the t4skeiy69cp-jk 8 l8bv wo bullets.

  A plane flying horizontally at a spee3rgkiw8b /)u kv c8;vvd of 50.0 m/s and at an elevation of 160 m drops a package. Two secondskv)8 uv3w8rgcivbk/ ; later it 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 later2tx )-ho x6)e q y *yvcd(.-l6huwxyta a second package is dropped. Neglecting air resistance, the distance between the falliy cx)6(x dlqtuvw2 -o. *eth-)yahy6 xng packages will

  A pilot drops a bomb from a plvuy1dxlp z zcvhg(9vx+na *v 4.a*:u 6ane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the grou ugnvzvc lz hyap9xvu*6av 1(xd*+4.:nd the horizontal location of the plane will

  The acceleration of gravil qid +6+r cmqp zsc4l151ud)oty on the Moon is only one-sixth of that on Earth. If you hit a baseball on the M+cdll s po 6c+q145mz u1dqi)roon 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 relativez8md; 7mz( dao to a straight, level road and pass a cd( o8dzmma7 z;ar traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong currep- vfx o1zr9+t0 zsg,hnt. You start out in youtzo1g, 9srp-zx vf+ h0r motorboat on the east bank desiring 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 iq.km- m:z.qbit take you to move 12 km downstream, in a river flowiki.bz -m .q:mqng at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 db 1b0i7upcj0zgxp2v.:e vsr v;b ko5;egrees below the +x axis. The y compoo 5b1bvrevs;p v02gx i zbukc7 p0:.j;nent of A is

  If a ball is thrown with a veloci8+wxhzy 7kpz0ty 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 lz458 c-db87 uh-ibheeph8vp:/ t onr pine in a direction north of east and you end up 2.0 km north and several kilometers eanb/ ehupbet7z 8i8h5:d r8h-c-o pv4pst. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The 1m;a rih2fr b6(wgcv*bv 9t7 ex component of its velocity is 8.00 m/s. The angle between b(ba1f ev6cvw;r thi7*m2rg9the direction of its motion and the x axis must be

  A 400-m tall tower casts a 60ts)mbyx373 (snho7e dz57ji q0-m long shadow over a level ground. At what angle is the Sun elevated above the hor 7 hbtz3dsy37nx eoqj7( m)5siizon?

  Two vectors A and B have components (0, 1) and (-1, 3 o5nyc;d)m6ex,v*j yv4 jpln 8), respectively. What are the con lyyxn,cj p*o;4m 8d 56ejv)vmponents of the sum of these two vectors?

  Two vectors A and B have components . c,kd:x unhp3(0, 1) and (-1, 3), respectively. What is magnitude of the sum of th: .duh,3npcxkese two vectors?

  Vector A = (1, 3). Vectornarot6 g obf8)f- 7a/0kyi u4p B = (3, 0). Vector C = A + B . What is the magnitude of4p6aa -/tifgy o87k0rf )onb u C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of ifm/ku 97mnx3tp hwdp*n4r 0,mts displamm97/x, ndn3ku*wr fm p40hpt cement?

  Three vectors, expressed in Cartesian coordinates, arer grkckbh.o.1k*1oh;)+s oo.sk;cw f
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 coor qxgfhs3w/n )k7ym-z8dinates, 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 n il0q8c ug u:,b5t7znB = (+3.0, -8.0), what is the magnitude of vector C lnnbg:u 85c ,tzu7qi 0= A - B ?

  A runner runs halfway around a circular path of radius 10 m. Whatf ,r0rb r hry0(jnd5b; is the displacement of the jogger5br0 y,rrdj;0(r fbhn ?

  Two forces are acting on an object as sho;u hhgm)sr1) 7ce+/k 4icc ydbwn in Fig. 3-1. What is the magnitude of thhcs )e;cduy+i k7/cr41h)g bme resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What isfh9 f6(/ncg ti the direction ofgf 6if c9n(/ht the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5ow6v3 kz ((xqk cm long and points at +30e to tkz (63q(v xkowhe 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 aqtgn)e q) l pbt:o*l,+: tm (gc0nvf4st $30^{\circ}$ 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 initialzex .o(n6p 32 oj8zwte speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's t.e2x6 8o( ejzo3pztnw rajectory 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 ;+h ttg.2 ogkk 9pu2mhof 10 m/s, from a bridge. It falls 20 m to the water below. How far does tuom9p+g;2thk tkh g2. he rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above x)9b 4vzs0laothe ground, strikes the ground after traveling horizontalsalo0 z9 xvb)4ly a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into8 km :orb/, kt3( fdn-q-cvtsas+d)x2a tn ju( the jump with a speed of 12 m/s at an angle of-kn /d)8 ts3+tsv 2,t dbc- aa:jqmfoxn(uk(r $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jum1*fou q( (ngkiw-k l*wp goes into the jump with a speed of 12 m/s at an angle of kqg-*fw(wn* li ouk (1$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an angh/bj 8)wxoymk q3ic* ,le 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 an anglzl( yknx-7 v3f/ld:ule of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired atu 9j+d8s s6bsm+ 4ndpt 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 roo8f ,r;616elh mddny zvf of a building 55.0 m talzld8fdv rm 1n ;h,6ye6l.
(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 wi, 82f5 rv xh2tuvia5udth an initial speed of 55.6 m/s at an a a2 5u,v8u t5dirvhxf2ngle 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 at adl9b ,(ujflss9 .cj3 wx7os c3 velocity of 4.0 m/s. If you ran the same rlfd bc cu.l33s,j79x(jsswo9 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 20unfj -5hy ee950 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's spee ejhe u5y-9nf5d relative to the ground is

  A plane is flying duz rdh 6v;0nuu2e South ($270^{\circ}$) 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 k yh*chle106ku x+v+l rm/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 projectile wxxboih:s .j*0m1x* gd ith speed 50.0 m/ *.xi*m0h:1xgxs obj ds in 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 water is 8.0 m/s, is directed acrosszx5vmcf s7: w6 a river with a current of 6.0 m/s. What is the speed of the boat a76fxsc :wmvz 5s it crosses the river?

  The driver of a motork3nmf;r:y hc-boat that can move at 10 m/s in still water wishes to travel directly across a riv hkc;ryn3m-f: er 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 motorboat /8c4pdhxmay p29 8yiethat 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 should the pc8m9 8pdha iy42ye /xdriver head the boat?

  A swimmer heading directly across a river 200 m wide r y;ed n+mo mm-8w2x:(mvsaag/eaches the opposite bank in 6 min 40 s. She i +sn8mo (:vm g/ emw;2a-mxayds 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 bas-r /g9tijs1n5w oe,jnk in 6 min 40 s. She is swept downg-n sor sj5t/w 1j9ie,stream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstre1wfyo(./w9 ( 6pqufkqez y tk4am at an angle of 6ofy4qp k. ktuew 1zf((w9/yq$26.3^{\circ}$ (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.