Which one of the following is an example of a vector quantu)4b9tcolagdbyux )sc9je7 1nb9 q +7ity?

  Which of the following operations willk uay86/fw nkvs.v6 v6 not change a vector?

  Which of the following is an accurate xb8o0y y + y ,tiw5d:rq)il+vtstatement?

  The resultant of two vectors is the smallest when the angle between them issqod4l zxu )q/*7vy04dcy9df

  Two displacement vecno yp)e ,-xaime5dzx4kd+.o4 3od -hstors have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the ,e+o5zx-) y mn dix34odsde-.4kpoa h sum

  Two vectors, of magn1e3zq.rm4m z situdes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of t 1rm ezsm.4z3qhe resultant?

  Three forces, each havinnh(: 8wi0 of5ma3mod b5 d+fqlt a-*koko0h4 rg a magnitude of 30 N, pull on an object in directions that ar: kfk5noo0o dwo4lam-r +b*0f(hdmqa 3 h85ite $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector .tv d4keci.dw yupb ,bp, 8x9,is

  Ignoring air resistance, the horizu nl ygqe5*bu(zhkb-(9v19 xaontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e a5)zv z2kbs7k )xgf*idbove the horizontal. What is the horizontal coz 2g5 f zskb)*dkx7iv)mponent of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistancebajca tix5s/b7tj3 /i .w w.h9, the horizontal component of a projectile's acceleration.ib 5as whca/93txbjwi7./ tj

  A soccer ball is kicked with a velocid/ ji7am6 /;a quw )fhfpu3i1o6ah c3s,u-q qkty 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 object6 a9tve oif5eux 6(rpmw(7 rm( is directed anti-parallel to the velocity vec w9i7 (pr 6mavr6 teemfxo(u5(tor,

  If the acceleration of an object is always directed perpendicular to its velocit 6,3 1jt;aaksv2j5ajrv+f rfmy a1vj3vkf,rf6rjsa;mja 5 2t+,

  At what angle should a water-gun be ai1nx r-:i4uhve*f34m 39,eexx bvwc jbmed in order for the water to land with the greatest v9 uwb bhx1 c*4:mer43ee fx,j -x3nivhorizontal range?

  An Olympic athlete throws a j6k6ak+kdh +s3*r1w pbj b -ojgavelin at four different angles above the horizontal, each with the same+k h3wr*pgj6s-bkb j dk16+ao 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 baurwz)9q bm,c+nql l*z4ue 5 -all leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your firstrq95*ll - uwnqemzab z+,c) u4 serve) would be

  A ball is thrown at an ori55tb9yig,1; u wg beb 6bj26nfaktqk8ginal 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 goa;/q 7c,xfthbh e*3a iil attempt reaches its maximum height, how does its speed compare to its h,3ca t ix;iqb 7f*/heinitial speed?

  A stone is thrown ho8ymo.q6j2*d5 nq vo jzrizontally 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 grooy jm2jq6*d8q 5vo.znund below?

  A bullet is fired horizontally, and at the swjx4q-17qc4r ;tqdhsame instant a second bullet is dropped from tq4t;x 4 q-r1j7dwschq he same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation ofstq n8gf r:;ekh-+w -gwv2t av lrz-(w 3-i+el 160 m drops a package. Two seconds later it drops a second package. How far apart wille wv:wq + zwngi+kr2lvraet-8t-sf--3; (gl h the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later:o7f* jj 4umdz x58qirm:i z+r a second package is dropped. Neglecting air resistanc84j 7ziur: qx5rjm: m f*oizd+e, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a conuyklz hx*w6mq *68l 8fi+ar8qstant speed. Neglecting air resistance, when the bomb hits the ground the horizontal locatim*6* +6z k 8qx8lfwhiulyq 8raon of the plane will

  The acceleration of gravity on the Moon is only one-sixth of tha/t,/x 3wffd hrt on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the fw dx,tf/3 /hrball would land

  You are traveling at 55 mi/h in the +x axx x-nx;*jts/xis relative to a straight, level road and pass a car traveling at 45 mi/h. The rxnx;x-ts* j/xelative velocity of your car to the other car is

  You are trying to cross a river that flows due sexc hrjppxx7918u+ m3outh with a strong current. You start out in your motc3e7+x p8 uxh 9rpxm1jorboat 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 muc xd*3rx k60apb( 8va0 qickpc6h time will it take you to 6bi0c kdqra0cx8 ppvxak6 *(3move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axisfqx cnp / 5gr5wvo5l5.. The y component of55v w5p/ olxr fqnc.5g A is

  If a ball is thrown with a velocity of 25 m/s at anr c,qxx/ 1;fad 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 ad3c4gcd5 rfn +nd you end up 2.0 km north and several kilometers eascdcnd+g 45r3 ft. How many degrees north of east have you walked?

  A butterfly moves with a speed of6(wnec by h +mwyv25g3 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction own6ygw mv +5ye3hc2(bf its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level groue76o r7qse:hfo(n3e )y( agtv t6lt 8dnd. At what angle is the Sun elevated above the horizt ftah6 3oy(s7 )tngl (erv:d87e qe6oon?

  Two vectors A and B have components (0, 1) and (-1, 3), respecte 8,wduyc29mu ively. What are the components of the sum of these twod,u9me uy2wc8 vectors?

  Two vectors A and B have componen +v 9ewoq+7afbgl 30rsts (0, 1) and (-1, 3), respectively. What is magnitude of the su+s af0r ol9b7wveq +3gm of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the maxf. l1 hl sqvi5m5++-ookoe5uzuv0- zgnitude of osl z-.u+5 e+m1l0vqzv- iu5f5kooxhC ?

  A car travels 20 km West, then 20 km South. Wh pl5gjdba+v+rh o* 8w,at is the magnitude of its displacem 8*p+,vwbojrg d+5 lhaent?

  Three vectors, expressed in Cartesian coordinates, v.y)lx, 7aifn 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 coordinafsa 73/jtsjrl+ o00w;y-qzm jtes, 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 2 i(ib(w.-5dmxefa9v a0b /dwt fo)vb B = (+3.0, -8.0), what is the magnitude of vector C = dbo2 fbw i(5va9w0ax.)emib/f(d -tvA - B ?

  A runner runs halfwa52uin.d- vnt hy around a circular path of radius 10 m. What is the displacement of the hn.tnuid2 - 5vjogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnitud:axx y*v2j :s3,sxjehe o sj:sxe 3x,v:2a*xhjyf the resultant force?

  Two forces are acting on an objmf-oza9s6 ; iqect as shown in Fig. 3-1. What is the direction of the o9 zm;q6-a isfresultant force?

Vector A is 5.5 cm long and points alon/;/g h1cf7ooqdklq6uxn a 1.6.y qe bag the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axik7h61ld1.c aeaxnqf6ogb.q ; q u/o/ys.
(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 p -9rfbx fqb58doints 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 from ;zgtz ptj/m13vi 3vb. - hiks+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 t.ts/vjpkb;zi i+-v zmt3g3h1 he height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, f8jzmin;8e.qf6t5: sf cc8a ct3ms3fe rom a bridge. It falls 20 m to the water below. How far docst88 c8cfe:nq;6m 5e. f sm3ijt za3fes the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the gr(wg q18ii v2utp,b c-q5xe pa*ound after traveling horizontally a distwx be q-i (tvgqc*51pi,ap2u8ance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump w sc2 kn ;dvxwy8.ubrct 0b+e/-ith a speed of 12 m/s at an angle ;s -rknv8utwecdb0x.+/c b2 yof $20^{\circ}$ 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 at an zob qzt:sg,wr .zj0uyo4-0. sangle of .-:w r,qytj4gs 0z0zobo.suz$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s atxo vgd k/8i kg3m-5aa;nf, mv9 an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an (( 7j ztqkzhdt,bgn,)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 anmvakou+;4f n (gle 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 fem *0h77sqri/s from the roof of a building 55.0 m talmie07s f*qr h7l.
(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 gb:;-6 dkas 7mzt-eg lj/fwy ,+gz1fbfround level with an initial speed of 55.6 m/s at an anglze-/a;ff 1g,gb 6+bjw-z:lftdmks y7e 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), yo1qbuidny 89sn. pt4(u u can run a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you hayn(1b84p.dis nqu t9 ud 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 spvy2m ucaumc1b( biv/ ;;kl-vkw;d5 w1eed of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plan;1 ub/(v;vviwy bacmdw lm25;-kk1 uc e's speed relative to the ground is

  A plane is flying due Sr+ ouool75tn( )hzy 2aouth ($270^{\circ}$) 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 i(:t u yjpz/t(ca0(t vheaded $30.0^{\circ}$ 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 ;nj;vums+ri .*vxrz *;s+m jswith speed 50.0 m/s in a forward direvs;+sniu+jrz; r *m.xs m;*jvction $30.0^{\circ}$ 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 mwl0 r(ffdet+5 /s, is directed across a river with a current of w5( elfrf0+dt6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 3xum erf nf3t*58j koap;x/p)10 m/s in still water wishes to travel directly acroxn 5rmk8a ofp/ up )je;t3*3xfss a river 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 that can move at 10 m/s in still water w*1) oss 6(7 qxxp4getmmcdw (fishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstx(e(f* cdos1tw4p mm x 7gs)q6ream should the driver head the boat?

  A swimmer heading directly across a river 2 5th8 w,5vhspwnsd/hpc 30c+ o00 m wide reaches the opposite bank in 6 min 40 s. She is swept downstre0dsh c+ts3hwwvop,h5 p/c58nam 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opfmc4p( (o rv0oposite bank in 6 min 40 s. She is swe (po04fom( crvpt downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstreambjkjm6 (om)c4y : 6agd at an angle ofbj)c4 :(mm kod ay6j6g $26.3^{\circ}$ (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.