Which one of the following is an example of a vector quantity2hmuq:, :rpqx ?

  Which of the following operations will not change irb r4*n,m8*jcywpg 8a vector?

  Which of the following is an accurate stavy yc ij7/1crz3 +0rjobkej:)tement?

  The resultant of two vectors is the sm5rz l/y6jyy0callest when the angle between them is

  Two displacement vectors have magnitudes 1x) y /eboia)b3eg7emof 5.0 m and 7.0 m, respectively. When these two vectors are added, the magniib1/ma x e 7)yoegbe3)tude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one v- n9em d ten4q/+nnw4of the following is a possible answer for the magnitude of the result- m+nn/w9e4dnv n tq4eant?

  Three forces, each having a magnitude of 30 N, g9t alc a2oa7hak30y/72 wpdn dqs3f7pull on an object in directions that aq7aloak/ ad9320gsca 7twhny dp7 3f2re $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, t )7mw3 zuvwtnja3+4 tahp4: ebhe unknown vector is

  Ignoring air resistance, the horizontal component of a projectile's veloci.a,l p0u1hiy ai/ n:t:(nx fzlty

  A ball is thrown with a veloci hs 05uek:l v3a.0xnerm.a8ns ty of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity avhun..k 30al : nr58eexma0s st the exact top of its trajectory?

  Ignoring air resistance, tho6bi/ dyup xl0k s*k y:uv69juv9)hl(m b p*t8e horizontal component of a projectile's acceleration *k piskx:u v9u 8 oy*ltb06l(hu/jy6mdb9p) v

  A soccer ball is kicked with a velocity of 25 m/s at aj9.c tb,v4mciz x8p*yxs*3p bn 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-parallel to the23oz5 b9plrnue 27g g66 sfiuv velocity vector,rl75iz2s9p66f3 e2b g uunvgo

  If the acceleration of an object is always directed perpendicular to its vzz4hpnh .5jic8dm igc 7f12x)elocityzmjc1gznfi284c . d)h7x5 hpi,

  At what angle should a water-gun be aimed in ordpblu or9ns zfm-:( 4a9er for the water to land with the greatest horizonz 4rs(fnp :am9o9 b-ultal range?

  An Olympic athlete throws a javelin at four different angles above the hori v p2l9rf 7venq3l/fn2o(7pzjzontal, each with the73j rv n(2 vnqpel97lfp2fzo / 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 c fcs7 b,xye qv 72klfe(;6i(ktime. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to 72y(xf; fe (lkv6ikc b7sc q,eyour first serve) would be

  A ball is thrown at an origin(0dd+yj-t.humya h *aal 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 goal attempt ba0gams( dhpk81a+c 3reaches its maximum height, how does its speed compare to its initial speed?p c8am(a db+a gh31sk0

  A stone is thrown horizon9ton)x, biw/sjb4v2mo o7*sb tally from the top of a tower at the same instant a ball is dropped vertically. Which object s 2*w/7osbtonvb4 x9j mib,o )is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet isntio0 *2qw/ngmd 9: i)vzh u+h dropped from the same height. Ignore air resistance. Compare the times of fall ofn hzt*0um g nq/ivdhwo9+i):2 the two bullets.

  A plane flying horizontally atsael47( o- zxn 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 far apart will the two packagesa4e 7lzo-x s(n land on the ground?

  A package of supplies is dropped from a plane, and on*s/zlhk zkv5.8e 0 lxue second later a second package is dropped. Neglecting air resistance, the distance between the falling packages wik.zu0/s 5l8*z xekvh lll

  A pilot drops a bomb from a plane flying k2il-;wx wx ms 9l,u,ihorizontally at a constant speed. Neglecting air resistance, when the bomb hits the groundxx; wi -l9 2k,mi,wusl the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Ear1o09xa j1yxzl 9 epyn*5pkk0i jec 8(tth. If 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 lan919(kk0zpiel no1jc0p ey j5xya*t 8x d

  You are traveling at 55 mi/h in the +x axis rfepvm1t zgl,;-hs+j0j4 wz ,relative to a straight, level road and pass a car traveliwz-jlv, hfs4g j10p , +;mztreng 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.e.6 3gebmbdx strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboamx 3be6edg. .bt

  Your motorboat can move at 30 km/bxku;jq ,5*t*1fbwiqu+-npfa y- ,yu h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.1qafu,-bq;,tb +u5nkuyjywp f *ix-*0 km/h?

  Vector A has magnitude 8.0 m at an angle ur 6(u2, i*jc0 q4aqbyeve 0q/llxe 4oof 30 degrees below the +x axis. The y compon i6quvql0a*jc ye2q 4/(olreuxeb 4,0 ent of A is

  If a ball is thrown with a velocity of 25n/p**65p,hxofo,ci ) brfjg j 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 digoe 1 r16ky b*sbzciei,r).j,z/hkv7rection north of east and you end up 2.0 km north and several kilometers east.zb g ,.7k/rv1 e ise*roik,z)yhjbc 61 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 vel-v1go1 ep j9zdpd ri )d;2i/kkocity is 8.00 m/s. The angle between the direction of itje1zdg) 21vpkk;r o-i/ 9dpdis motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow s6uqeip, r6pf) m6 mn-over a level ground. At what angle is the Sun elevated above the horizon?uiqm-pm e s),66p n6rf

  Two vectors A and B have componen;;uq)yei7 diz ts (0, 1) and (-1, 3), respectively. What are td yi;7e;qiu )zhe components of the sum of these two vectors?

  Two vectors A and B have f aqkq(hnx-( 7components (0, 1) and (-1, 3), respectively. What is magnitude of the sum fqn-xhqka7 ( (of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnitudd+1 y,xz)tl+ a,kq2iaw xc9hde of C d htz)l,c 1ixq k+daxa,w+29 y?

  A car travels 20 km West, then 20 kd45tg y5udvolfhe, (6 2eccvnkg .b8:m South. What is the magnitude of its displacementy,dc8u :4(.egfg 6 e5vl nkohdc2v5 bt?

  Three vectors, expressed in Cartesian cooi.)f pi2gev:brg +bb/rdinates, 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 coordinates, a ka6 q;p4vl,pdre
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 = (+3.0,3mlg;rj7 5plgx y+7e4ng6jq l -8.0), what is the magnitude of vector 5 gr7jl gq76mlxel4gn+jy;p 3C = A - B ?

  A runner runs halfway around a ci cn(4l yw;gdo0rcular path of radius 10 m. What is the displacement of the y(l wg0o 4;ndcjogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the mag d+7amnjrsat0j +*ro 0nitude of the resultant force?o r+na0smdr0jj* a+7t

  Two forces are acting on an object as shown07ot m qrj +9p0h7-9 qetzcr;n)mgunru2vy4z in Fig. 3-1. What is the direction of the resulta7j-tvmq7qn; uz0 gmotryh ) +er2rzn0cu994pnt force?

Vector A is 5.5 cm long and points along the x axisszi+p*dp5q/ ay 4sz:w. Vector B is 7.5 cm long and points at +4*5pwzaqzpssi: d y/+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 .rv+rkb e a;u5points 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 of 10 m/s fz00n8sab5h(g5uq(x pt; zu tvrom the edge of a 5 utxv0n;tz0 h pq8((zgbua5scliff. A stop watch measures the stone's trajectory 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 of 1q t ra;f72ch *;fg/drn0 m/s, from a bridge. It falls 20 m to the water below. Howtn/;af ;7gf 2rdqh r*c far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the 6nkleghfkx-2gxuc n +6 .jo26 ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was itlfo6g.j +k6 x62-kxuhn2 cnge thrown?

  A jumper in the long-jump goes into thew6yroedc0a . ) jump with a speed of 12 m/s at an angle o wae.crd6yo 0)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 zj npl2 rtrjv86/ 5z(;fodeb6jump with a speed of 12 m/s at an angle of b6(lrn pvzjof;jd8z6r5e/2t $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity ofjrmvfjkr vmm23sl9m :3/cc 7) 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launc mz xj3a(yz5wno a*(s4hed with an initial 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 anglel(qwkqao r/s9i(7bib-7m4 gw 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 buildin/q tl:l.wyrsm)5c . ttin*5jo*(bicf g 55.0 m tall or/qc*btw fliy5:mj)s(.nt li.ct5* .
(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 groundoabduuzgeok8wujsv6:d6t 3+x9 u 6:(bur 4 4d level with an initial speed of 55.6 m/s at an ang3:49e g vbrbu6du8ou:4ad(t wu6sok6+ uzd xjle 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 veloci7z xif ;3 xj3dbw08b-4nj wdvcty of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speedbw37 x cnb;zdi4 - v0fjwj3x8d by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of 200 m/s7 6 1eani bd7g0e3xrqawnn.0f due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to the gro7nfae n gdnx0e16.3q0iab wr 7und is

  A plane is flying due w0 0pk-55nowwxmonnh +le2 :k 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 km/h is h8kjavxx52 3ec0v fcj9eaded $30.0^{\circ}$ 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 projectds5n8ckr ;y lqk3zk 31ile with speed 50.0 m/s in a forw3s dkl3kqkc y518nz;r ard 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 zetzkp5+ 7ca:u1-xqgao73s.hqch q : across a river with a current of 6.0 m/s. Wha3u-.7qqqtcp1oh7aca:+kz: 5xsgz h et 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 water wishes to/:3iln jxl4mf 8 mafo1 ipf;5y travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How fx mfi1f8:m/3o4 jn;piy5 lallong will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s i5nfung8 2 x9* sr0gnitrbd:a:n 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 xr rf928it05sgna:u*d g:b nnthe driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the oppositeba o p xfsicwk.;)-,r- bank in 6 min 40 s. She is swept downstream 480 m. H,k )-cx fbas;p -w.iorow fast can she swim in still water?

  A swimmer heading directly across a river 200 m w6)vqu4t)mf i y+dx; qkide reaches the opposite bank in 6 min 40 s. She is swept downstrtq)qv k)d6 +;m u4yixfeam 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.hst nfi6 ++byoj) -ht875 m/s, must aim upstream at an angle of ys+b6-tfho i )8tj +hn$26.3^{\circ}$ (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.