Which one of the following is an example of a vector quant8jpgm. tq9 ee88so-gd8td w4e+op+rlity?

  Which of the following operaog mx0e+zbt1as e+ 3:ttions will not change a vector?

  Which of the following is an accuraccae: h-c c rg0/ao 3lgta2 ,:ggxy7g*te statement?

  The resultant of two vectors is the smallest when the angle between th7r jm55 tzxxly00bj 4vk4dwv9em is

  Two displacement vectors have magnitudes: (klnhp l/mqr./q tz; of 5.0 m and 7.0 m, respectively. When these two vectors areh.tqr/ mk;p/l : q(lnz added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the following iqf.9u: r.t fprl/f,av s a possible answer for the magnit/t9a.f. :vrpruq lf ,fude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object e s)y00g3nwvg in directions that are v g0ns3 )0ewgy$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknowna2ra6lk)m+o3;rn ojdnry 8t; vector is

  Ignoring air resistance, the horizontal component ofstt6,t g y5ng1 a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above . r0g* x o./rbzr4afn4 ps zb:d0/puvpthe horizontal. Whps r.4a/4f0nzxpzo bbvu 0 dpg/:. r*rat is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component 4d8w8kb0. cxtftvp8uz- x 53v,eqwbtof a projectile's accelerationt ,q-ttxw8vc e w 5zud04xpb8f.b 8v3k

  A soccer ball is kicked with a velocity of 25 m/s,qm 59*rb f pmn8fic0*n n7drr 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 directed anti-pararj)zh.(z 4evip 7g+qk llel to the velocity kgvi+.)er4zjp7qhz ( vector,

  If the acceleration of an object is always d e62w/yo1y85exg,( jtr ttcp,zg-pwkirected perpendicular to its velocity,5/2, yp ew yc ge6wk8(t1 tpxorzjg,-t

  At what angle should a water-gun be aimed in order for the water to land win/95 umm7ktz d pe(z0pth the greatest horizontal/0 t p9 kz7nm5meu(pzd range?

  An Olympic athlete throws a javelin at four different anglj9 t6qyts6zvbk4-mt 88vmd2n es above the horizontal, each with the same speed: 6t m yk8z 2m8vbj6qt4nds9vt-$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 bal4d9y*jx rddcgu s)) f;l leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first servydj) ;s ud94)dgc xf*re) would be

  A ball is thrown at a 7qu ussr(30h4/wksjin 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 attem g, h5-hdypp)v6xskyhvc-7g,pt reaches its maximum height, how does its speed compare to it7k,6 ygsx cvvdy h )-h-,5phpgs initial speed?

  A stone is thrown horizontally from the taomr+r6c)d n :op of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ground berr:c+n6mdao )low?

  A bullet is fired horizontall9 yq:ir+o6lya 17 tdlmy, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compart qd:79lyolyria + 6m1e the times of fall of the two bullets.

  A plane flying horizontally at a speed s,m)2k; hy/ ;)k wnqhstj qoe.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 )/sk)ny ;wk shhqt.j ;o,e2qmthe two packages land on the ground?

  A package of supplies is dropped from a planec:g ocly2t9evv)1b x,, and one second later a second package is dropped. Neglecting air resistabt :vg9e 2)1 vccxyol,nce, the distance between the falling packages will

  A pilot drops a bomb from ak z,hl,h7o-l 23hzmej plane flying horizontally at a constant speed. Neglecting air resistance, when hk3ej,z2l 7,h zl-om hthe bomb hits the ground the horizontal location of the plane will

  The acceleration of gptpo 1u+b( 5ei 9vwy,oravity on the Moon is only one-sixth of that on Earth. If you hit a ba(9iu,opote y5+ p1b vwseball on the Moon 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 av9(;i: 3m24q8kqd li xgsnx cq straight, level road and pass a car traveling at 45 mi/h. The relative veloci(ixqgkq9dx;s4c mnq2 i :l3v8 ty of your car to the other car is

  You are trying to cross a river t*5f e/c:i rdzxhat flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your ci/xfz* 5r:destarting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How qw8wh5kto*7 lwh, ov.3d(rbx much time will it take you to move 12 km downstream, in a river flowing at 6.0 kmh* v8ob3rwwt,q okxd. h5w(7l/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees b smk7 rwt 4m,(/ws+cit+k jc/nelow the +x axis. The y component ofm tcr/kjni w+/ tscw,ks 47+m( A is

  If a ball is thrown with a velbrlyo fn:(z,wkb.257blqoh p0 smdjr.3c:n ( ocity 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 line iu95e3nn8o cdcj9(dl ,eo nb5tn a direction north of east and you end up 2ten3oced5jcbnl95u 9( nod8, .0 km 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. The x compokktxa g *q0ce c0r9y7q7ct2 g1nent of its velocity is 8.00 m/s. The angle between the direction of its motion andq *10rccey g7 9cagqtkxk0 t72 the x axis must be

  A 400-m tall tower casts3l+ut+ l nqcs80 ppy0e a 600-m long shadow over a level ground. At what angle is the Sun elevated abovp+sutylqe0l+ 8c 3np 0e the horizon?

  Two vectors A and B h0i z+5sqe6s/q:eza0 m.5 oiamoa w b9jave components (0, 1) and (-1, 3), respectively. What are the components ofsi+zmm6j5a zqw as /q:5i0oeo .abe9 0 the sum of these two vectors?

  Two vectors A and Byxrsa +al2ju; f)2ll) wc3 i 1sbqe7t6 have components (0, 1) and (-1, 3), respectively. What is magnitude olr jx i+)w1u6l7fals3 aty;qc)e2b2sf the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is tcvn::3kn 3tf dhe magnitude o:t fnd:n33cv kf C ?

  A car travels 20 km West, then 20 kmxu/ 0-+0 lj uuwq*p gshc4e4aj South. What is the magnitude of its displacement?0j ch p wq-s4+ *ga/uje04xluu

  Three vectors, expressed ij23fi(jy m3hr n 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 Cartesian coog0 nwo1erln 53rdinates, 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 is the magnitude o zoq,c 8547lkuy8bqrof velcy48 qzo5,uqbr78 okctor C = A - B ?

  A runner runs halfway arfz8ecti4 o . p5zdm/w6n, )pcaound a circular path of radius 10 m. What is the displacement 6 zc)ow zdnmi/ppte54fa, c. 8of the jogger?

  Two forces are acting on an oxri,6(cd4.*bnmx 0w+ mzm3 w g)ebumjbject as shown in Fig. 3-1. What is the magnitude of the x mwnj6 0e 4u r* (i3.gxbm,)bcwmz+mdresultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What hs ft2h8(vpd43 o*fsa is the direction of the res3f(hv ats ps 8fh*2od4ultant force?

Vector A is 5.5 cm long and points m/rjjf *d 87ozalong the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axirm f78jjo*zd/ s.
(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 atmx*8 j4djvnc ( $30^{\circ}$ 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 tx bqey6s0rg+n2oo(;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;2t r 0o (e6ybgsonq+x to be 4.3 s. What is the height of the cliff?

  A girl throws a rock , z2c udad7zo:horizontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to th:o7, zdaudz2c e water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a po 21;jpko-hw lqint 24 m above the ground, strikes the ground after trav;k ow lp1-j2qheling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the ju il(59uq qmzt(mp with a speed of 12 m/s at an angle oqq( 9ti(lm5z uf $20^{\circ}$ 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 spek unx* fi2:by5ed of 12 m/s at an angle oi x:yk2bu*5nf f $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launch yt0d* +-iowiq:)b)noj (p8fzl dgi2 oed with an initial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velohu,) : o-b3judjyk- yicity 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 a52lu 8fmve xhn 9e*wrujc*:n 3n 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 4zyk1 4x-foztthe roof of a building 55.0 m taty1k -z4fzxo4ll.
(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 spe u*;ai qdt9czg y:.e.ted of 55.6 m/s at an y dg9* ez;cqt.t:ua .iangle 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 150deh: h5)kj5cq mg d-zv.n,y7e 0-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which)ecy - zm55qh.evdd,gn:j7 h k slows your speed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed *3m39 dm8z q6tggb jmnof 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to the ground 3q93g dmtbmg6m*8 njz is

  A plane is flying due Sou;k8f;59mawmz czz5 k-dma3xtth ($270^{\circ}$) 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, o0r 2wknawn5fn-d9z 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 firesva a(6y(y)i 88jleehk;9ntof a projectile with speed 50.0 m/s in a f) ( 9k; envfei8y ja6h(laoty8orward 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 -baj tag4-k3 pd78pwe(m ygv48.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of td -7 p8ey(4aj4mp vk3b tgw-gahe boat as it crosses the river?

  The driver of a motorboatsz:8rf,(mg m p that can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long wi mp,gz(r8:f smll it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to t-r 0s(qe rechtu2 y txan.95dt+.mjl:ravel directly across a narrow strait in wht:y+t.9es20- n qr(et h.caxr mud5lj ich the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly acrossw6(ci a)rzqz7 a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept dowr7w zz6qi()acnstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposiu, zako81m4ni te bank in 6 min 40 s. She is swept dom1a8u4,kz inownstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream as oai+gae;llb6b:. e)c39:u a6d yyont an angle of 9:: oiae ; soa3ye) bldb g.6+luycan6$26.3^{\circ}$ (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.