Which one of the following is anhag :n 0(rjdh6 example of a vector quantity?

  Which of the following operations will not chang be p7vry10,tr60mhhj e a vector?

  Which of the following is an acc ,t-8*b0x2twgwrc xzd urate statement?

  The resultant of two vectors is the smallest when the angle between them in1*8n p sszm asm4c9.ls

  Two displacement vectors have mahgp26 :lve+h* zz.xr mgnitudes of 5.0 m and 7.0 m, respectively. When these two vector .6z :v+hpe rzhg2l*xms are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are ad:2y9fl w kc6g ;9+crwimjqh90qmcq3w ded. Which one of the following is a posmqhcqjiq wrf;kc 03 ycg+wl :m999w26sible answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an objg 0w/tn+enb:cect in directions that arb/ +etc0n gw:ne $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown ve4smo44dcm kn- ctor is

  Ignoring air resistance, the h5xfvbwx48io o :o-5p3ayms o. orizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the hori5glbl/1og tdka 4wfg4x2/p2j 4 tng+izontal. What is the horizontal component of its inst/422gto/g+k b a w ixln1g5j4gd4lf ptantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the ho:oiax sn4e6a + ;s+nx bpe)l;ekcsw*+rizontal component of a projectile's accelerationak64p e sec+ix+:+ ;nl as;)wx*nsebo

  A soccer ball is kicked with a velocity of 25 m/s at an angle jd5n17n rr3cjof $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of ar/yuzad (8dt2 n object is directed anti-parallel to the velocity vector8(dzy raudt/2,

  If the acceleration of an ob6 + vtla,7h ,pkds-upiject is always directed perpendicular to its velocity,i6 ltp,7- d+svh,apuk

  At what angle shouldfe l. mtqd3x:s+xb9od.2r oz; a water-gun be aimed in order for the water to land with the greatest horizontal raoxz2t3 :+erslo .;dd m .fq9bxnge?

  An Olympic athlete throws a javelin at fou ld f6o ie37 btduf6b5ks2;2gfr different angles above the horizontal gdof6 sb6lff;i325udb 2te 7k, each with the 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.)qi/-mxpfy h. If the ball leaves your hand with twice the velocity it had on your first throw, its horizop-xiq/ hf) my.ntal range R (compared to your first serve) would be

  A ball is thrown at -mgla; 6waycx;+(7; b7reocf -wj cluan original 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 reaches its maximum height, 4gqpm7 pjv ) *q-sgu*vhow does its speed compare to its initial s)gmg up4p*q *j-sv7vqpeed?

  A stone is thrown hor4lia ree*ls( ;izontally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ground belowalrs;4( eie*l?

  A bullet is fired horizontally, and k(rgc aj +3k zpw.6dw)at the same instant a second bullet is dropped from the same height. Ignore air resistance. Comparegdpj(kw6k 3wczr a+ ). the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 d+d;c4 tr8c ffm/s and at an elevation of 160 m drops a package. Two seconds later it drops a second packag dtf8drc;f c4+e. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second lalg 500lxtgc (ster a second package is dropped. Neglecting air resistance, the distance between thgxsl 0g0cl(t5 e falling packages will

  A pilot drops a bomb from a plane flying horizontall/u ap p, 6oel7ch(b ugd34dn1ay at a constant speed. Neglecting air resistance, when the bomb hits the grooc7ua 36ppaeldd hb(4 u n/g,1und the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of tzry-9yz *3s 9q*esrp zar 7gg7dy ft75-2p xrehat on Earth. If you hit a baseball on the Moon with the same 9tqgeey-*rx*3r 2f7zzrz7gsyy a-p5 sr9p7 deffort (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 roai f:(ox0:zn i y8uzjo.d and pass a car trj:n oi8zyzofx: 0i(u.aveling 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 cur mcu61;lzi pe5wvt9q)rent. 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 moto);lv t6zmeqi5wupc 91rboat

  Your motorboat can move at 30 km/h in still water. How much time will it tao zfcr7q69d p4x zldn:p 9uw)aqi*)(ake you to move 12 km downstream, in a river flowing *lia ) )cuqw7zfn9pd4dza r oq p:6(x9at 6.0 km/h?

  Vector A has magnitude 8.0 mi c;v p.w:ndeo /rjm). at an angle of 30 degrees below the +x axis. The y component of Ao:pj ic/;..m ndv r)we is

  If a ball is thrown with a velocity of 25nu gi76c6mida+u mg0 ) 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 -ojdtfx, 0 id 52nzb.kin a direction north of east and you end up 2.0 kxb.didj0,-o ztfn 25km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. uy9(ty0q3 fn fp3g7oi The x component of its velocity is 8.00 m/s. The angle between the direction o f 0qtfig 9yo3npyu73(f its motion and the x axis must be

  A 400-m tall tower casts a 600-m lg- s c,yo9)bd3hq *jl):ukxl gong shadow over a level ground. At what angle is the Sun elevated above the jh)x : sbq3 gug kdco)yl-,9l*horizon?

  Two vectors A and B ha lzc ll15+ d8gch.,zoeve components (0, 1) and (-1, 3), respectively. What are the components of the sum of gl+.e1,c5d8zlozch l these two vectors?

  Two vectors A and B have comp6axz tgqd1-vbp8t) t2l 39axdj) me/ponents (0, 1) and (-1, 3), respectively. What is magni 93tpe q1lzpgm/ tj62daa)xx- v dbt8)tude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3,8 7gle,qn -xj0 hovg j6.zsow* 0). Vector C = A + B . What is the magnitudevel oz8njw0xs g67-hg, jq*o . of C ?

  A car travels 20 km West, then 20 km South. What is thk)48 rho o5smue magnitude of its displacement 8mu45sroko)h ?

  Three vectors, expressed:11x:lfsft * zmz98uzyft c2 c 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 Carpsbf475 v dl4m9 se6detesian coordinates, 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) ac5toi3jru 0 q rqb03/vnd vector B = (+3.0, -8.0), what is the magnitude of vectcb05rio jqq33rvut 0/ or C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. Whar(gr 84rcf.+/77f+ek)zftrkg j azo r t is the displacem).r+f 8/zfrc+( rg7a frtk j7kz4 rgoeent of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What iszv 7f+ z. hacf*0nhe-r the magnitude of7ahhvzznr0 -c+*fef. the resultant force?

  Two forces are acting on an object as hs1,ba )3lxcfy,qn)nshown in Fig. 3-1. What is the direction of the resuq,ha)cl sbfny n)1x,3ltant force?

Vector A is 5.5 cm long and points along the x axis. Vector B inw i- ru8;ospiljn5 u-u3mc ;3s 7.5 cm long and points at +30;p lr3m -n-5 w3uoisnu 8uc;ije 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 ;t,.j nrkx3msn y1ujtnbqdd4 d26u.2and 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 hori.xd.s gpf8fy6zontally 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 bottom to be 4.3 s. What is the height of the clif6pd..yfs8fgx f?

  A girl throws a rock horizontally, with a vcu0 e00*e8:,dqz ,etni bqadk elocity of 10 m/s, from a bridge. It falqq:eid0,8e* t bze,ck 0udan0 ls 20 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m aibj;zv : jfk *w+j)f4bbove the ground, strikes the ground after traveling horizontally a distance of 18 m. With wh j)j biv:jb4f;f*z+kw at speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 1 +2p 2 6+qn4 vmsb wl/8zgoh8yxkebgo.2 m/s at an angle om8. 2qg+s z4 /okbhgv8ny 6wp e2oxbl+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 i42li xgs:jcn3nto the jump with a speed of 12 m/s at an angle cnls:i3 x 2gj4of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at3idud *(gp zge0wv3q- an angle 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 angle o-5 lyrvyc*3 x0 urebpx+rig1 .sml v,8f $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle0tns8e s ;)k *etgtnh(ljvl3: 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 23.4ln,auw.b wl4, m/s from the roof of a building 55.0 m bw4a,lun.,wl 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 f (jed q4amoq1+z9wb) srom ground level with an initial speed of 55.6 m/s at an angl q(1bzsmo9da) +jwq4 ee 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 velo*c*ngd 4+t*cpuj1ma2mpgx 4x city 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 would take you to f4g *d*1ma4pm*cxugjxtcn 2 +p inish would be

  A plane has an air speed of 200 m/s.mak1oa6e0 u :tva y6v due North, and is in a wind of 50.0 m/s to the West. The plane's speed6amv e:1 .otvk yua60a relative to the ground is

  A plane is flying due South ( ti+j- gagf5fzae1 o*6x mqm)3$270^{\circ}$) 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 speel9 c8 +gojgh4iu.h nd8d 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 20o f76grj : c5/.fhfwrt0 m/s horizontally fires a projectile with speed 50.0 m/s in a forward direct.r5got w:hjf6 cffr /7ion $30.0^{\circ}$ 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 acroskp , u;.j-,qsi6 ,bbfjfxsmr+s a river with a current of j.6, qsr,j+mbbpf- iskx ,u;f 6.0 m/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 water wishes5 s( kk;ya padqwr7zt1yb/, *s to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cross the riv;qs75 z1a ,ta srb/k(*dpw yyker?

  The driver of a motorboat that can move at 10 m/s in still water wishes to tr0di6ake, z,buavel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver hea d,eauibz0,6 kd the boat?

  A swimmer heading directly across a river 200 m wide reaf()gn: +hh9-ppo v pdtches the opposite bank in 6 min 4n )fh9 pgv: t+ph-o(pd0 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a rive chznoz.pc66w12gk )v ih qn197vv8ggr 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the currentwgz1oc qh.vgpvhn 1k 6g2n9v6 z7 )8ic?

A boat, whose speed in still water is 1.75 m/s, m2n2-qp ji pg+b7kfvd+ust aim upstream at an angle of dnpvf2g b7pi+2-k+jq $26.3^{\circ}$ (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.