Which one of the folly(li* 5v 5jivnowing is an example of a vector quantity?

  Which of the following operationr(rlw8 cb*fe:v bp. je8ip:)o:rh .czt ( p*dts will not change a vector?

  Which of the following is an 1m8h/ cmqll/saccurate statement?

  The resultant of two vectors i-snj1w ;w-wp hs the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respe)snad u5 skrps-lj/r7 s86r+rctively. When these two ve+nr6ss ud7jpra 5ls-)rsk r8/ctors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one o;3wvg d8izefz5x 7wx :f the following is a possible answer for the magnitude i ;:x 7ezf8vxwgz5d 3wof the resultant?

  Three forces, each having a magnitude of 30 N, pull on an, cyo;wpx5yp( object in directions thayo,w p(c5;pxyt are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector is g xljpq/.-fq) )wmbl8

  Ignoring air resistance, the ho8adq0 g4ra0dq rizontal component of a projectile's velocity

  A ball is thrown with a velocity of w 2q gb7y.xkr(ls 9g)o20 m/s at an angle of 60e above the horizontal. What9() gx7oy g.klsrqw2b is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistancekd3 9 d;1lvr f67jcaut, the horizontal component of a projectile's accelerationcra79ktv d3;u 16ldfj

  A soccer ball is kicked with a velo p0n pb40e4xbuoj m)8k kjx0l)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 8mgjja y ku34)directed anti-parallel to the velocitmk 4uj)j a83ygy vector,

  If the acceleration of an object is always reftv ;3 (wm6rdirected perpendicular to its velocityfm;vrt w 3(r6e,

  At what angle should a water-gun be aimed in order for the +u;i6r: n )cz5sy9sc+vm u7pte 6yyjd water to land with the gream s;6 )y9nr6 z5:ucjvyut7++ci dyspetest horizontal range?

  An Olympic athlete throws a javelin at four different angles above the h u5. orh+vwh.aorizontal, each with the same .uv orh+w h.5aspeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 b .rd(p7z- z xoc(x6vjvall leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to yo6xjzdv7.( -c(xvr zpour first serve) would be

  A ball is thrown at an original speed of 8.0 m/s ks;1 tuka:*j:n8 qbcysafp( cvrw+;: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 fielm r yn)3m)24,/zrdb qmb48 4hsk taoynd goal attempt reaches its maximum height, how does its speed compa 3a2yr48o4hmmyq drn zmbk))4/tnb,sre to its initial speed?

  A stone is thrown horizontaltdwl8w77(x kn g kho+gjm. . m.g0a(rnly from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster wh0gn o7 (g.k.t8k wgjhdam.7xrnm+w( len it hits the level ground below?

  A bullet is fired horizy rkq sls((m+-ce *3pzontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall pem+qk3 lysr- z( (sc*of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 160 mswu,1c0eshwjj/ rj0qw 8y+* c drops a package. Two seconds later it drops a second package. How far apart will the two packawur js/ h,ewsyc1cqj0*0w8+jges land on the ground?

  A package of supplies is dropped from a plane, and one second later a ls 7b7 euvjk .z.kv)ed 7a)xv*second package is droev.kd be7*uk77) vlx. vsjz a)pped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Neg 63h*y(h18gb zwvwem ylecting air resistance, when the bomb hits ( hv6y3bm w8 1ghyze*wthe ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earte3*6og,mtgt p5ls di4qbu76 a h. If you hit a baseball on the Moto 4md,blutgp66gesi 3*a57q on 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 relative to a straight, level e -i5 s8p4;ctfu.7h jm 1qvv:krj*duwroad and pass a uvv1ks4 emf -j7* wptq:8j uir;d5h.c car 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 ss(tsls 4k h i+(7nt+dltrong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. (sn ds l(7+h4kitslt+ You should head your motorboat

  Your motorboat can move at 30 km/h in stic56)(pr (0kqntmjg zt ll water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/nzjtq5)tg (6mk (cpr0 h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The y co2,wpbnbrb2 3as1n;w9m *sl cbc9l sab2p rm1bw, 2;on*w s3nomponent of A is

  If a ball is thrown with a velocity of 25 m/s atyf8 qz.k;jh5 i 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 3xopvh8g lu4v r+ggnhnk o-0x5)8a z:north of east and you end up 2.0 km north and sev-lvgx0 8+8a 43p5hgnxh: )ovzn k rougeral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its 51u9gxwgydji l;7*1j2bb uwj velocity is 8.00 m/s. The angle between the direction of its motion and the x axis must 2 w;g51dj b*u uiw9y1l7gjjxbbe

  A 400-m tall tower casts a 600-m long shadow ov5fltie nu1ida*173+ sqlmw0 ger a level ground. At what angle is the Sun elevated above t uiq3gdm+5e70fn 1 1 lilstw*ahe horizon?

  Two vectors A and B have comporyib 3ut1lsg qo*.r9a ek8 y5/nents (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vecr/tle y3 koq.*uysibr91 5 a8gtors?

  Two vectors A and B have components (0, 1) and (-1,yi6 ;zssm79w b 3), respectively. What is magnmsbiy ;w76z9s itude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vec sc*0u6dis9t0)k n0z 3edxlpfth f5q6tor C = A + B . What is the magnitude of C ?l5qsc0fe d 09ifk n0t)6u3 *psxd6thz

  A car travels 20 km West, t uo:edbuj*rcphjk8.oc e8ily7(7e64hen 20 km South. What is the magnitude of its displacement?cico r7l uk *eph(j:e86u.o7jyed4b8

  Three vectors, expressed in Cartesian coordinae- ifpxt 3zk5+z-/z6 pjead-vtzn7 b1gw3k h5 tes, 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 coordpvebyx 661 5az 8p99d2iwoyefinates, 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 ( 6 2/izr 96lc4koewez nn9ji qij6k:(t1ansgis the magnitude of vector C = A - B 9 n(konia1szi2n le(66 4/qe i6jj rzgcw9t:k?

  A runner runs halfway :l*vjq/mz,l;nehtbsh5k67varound a circular path of radius 10 m. What is the displacement of6ql:/,hs5 ;7h jtvzbe lk*nmv the jogger?

  Two forces are acting on an owhc 5g: f/z 3a0j eu1iefpf;1wvcd/;qbject as shown in Fig. 3-1. What is the magnitude of/ihj3:p; q0 5fgwfdw/fcaev u ze;1 c1 the resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the dh) xmds 6abw54 j8b4xuirection of the resultantbs4h4 xuj65a bw)m8 xd force?

Vector A is 5.5 cm long and points along the x6ellnk9chtm8r1 o4irs-9e +h( pk;v i axis. Vector B is 7.5 cm long and poi(nrv+hi9l -ie4phmsc91kr l o86 ;teknts 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 long and poinkj iu9nbnz: +vh8j) 7*wz*nfits 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 horizontallubnp zw5;,v8e3 ux.djy with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time 8bezu5d,w vxun.3;jpfrom 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 m/s, from ag3xy*phu1 di q4l1nf- bridge. It falls 20 m to the lqd1ugx 3n*-ifp 14yhwater below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes theena9j.pqy bd68vc.7 lnow8r 4 ground after traveling horizontally a distance of 18 m. With what speed48rwypl67v d.j cn.boqe n89 a was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an *g9xaxg f6 w6u/ 2b r9j3dnclgangle o * 9gl wxu2g69gjxr6 an3cdb/ff $20^{\circ}$ 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)r( 7 xqb4fo.wpa0fpd at an angle ofr pxfoa(pb ).q 70w4fd $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an anglxzz 40w6h fnegwhsh 7c 249m-xe of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial8o o8t:u,syai 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 angao:sw8cji,dt ).vv unb r/re 4 u2z:j6le 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 ats:3vol3; hr1 htkq8v6cknh:qq ll6u ( 23.4 m/s from the roof of a building 55.0 m h skuh: vql:rt;k366 ln1vh ql(o3qc8tall.
(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 55.6m 1 y)soatm )/di,kng1yv jpt3/g0 xu+ m/s at an angy/jto1 ga)+kg31xs0)n vmu,ity/pmd le 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 a velocity of 4.0 m/s. If yo r0 h6o5b,dkyou 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 wobrodk0,h 56y ould take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 +ekc8mh .tt84 c)at kcm/s to the West. The plane's speed relative to 8cktamctc.k8e t+h4 )the ground is

  A plane is flying due Sout ux,k6zxx*ytnad/u0 4h ($270^{\circ}$) 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 (f a 2(r qrsb)ra++:nuv kvl7sof 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)4z 47frr 6wkiwyw.*a6hkq re 0 rta9n projectile with speed 50.0 m/s in a forwawr *hqt r64 )wr9ky4.f7aiez a06n wkrrd 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 across a river wi ggem(nn+ ij8/6ow* ftth a current of 6.0 mefggnm+w *j6 nt(8i/o /s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still w32vpzyx f iz+ k3*sis94f*yqd-qix )g ater wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will iz 9 k3 gdisx 3*2i*yqs-q+v)if4zpfyx t take to cross the river?

  The driver of a motorboat that can move at 10 m/si iaryp.e9bzv(3.u lh5nn a/ 7 in still water wishes to travel directly a v7u9lpr e.ni ha(za.y 5ibn/3cross 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 m wide reaches the opposite banuzt/ow: 3s)htk in 6 min 40 s. She is swept downstream 480 m. Ho3ohw /z):tsu tw fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bbe1jxmx(0aw:ttt 4/ 5 .f vxnhank in 6 min 40 s. She is swept downstream xemw40na h5.t/ftx : xb(tjv1480 m. What is the speed of the current?

A boat, whose speed in stin roam6ly n o97584mkall water is 1.75 m/s, must aim upstream at an angle of8m mo4 y79k5na6a nrol $26.3^{\circ}$ (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.