Which one of the fol(y/lxa(sxy 2 slowing is an example of a vector quantity?

  Which of the following operations will not che , ;m: ,pfq+b,6vyuugrnuwd*ange a vector?

  Which of the following 81g:mw*r+o3 .a aec) voe aicwis an accurate statement?

  The resultant of two vectornrelr4c tlod 5m30(/ ps is the smallest when the angle between them is

  Two displacement vectors have magnm fe:x96afn3-gzvx;mo yd/ a(*gm +b gitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the mg (on;6eg-x* xd /bmzy fgmav+f3 9a:magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the ft,wve 2-l2ptj ollowing is a possible answer -vt,tpj2 wl2efor the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an objectc3qupvv t*9, bv24z. mis vr9b in directions that ar9 .vb4m* z ptsivc32urv9b,vqe $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown v4p f4 yln8nqnv4pdm(xt1+2s-nmqj +c ector is

  Ignoring air resistance, the horizontal co, eu 4lbcfr4o9mponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an a6m4omge4 f pd9ngle of 60e above the horizontal. What is the horizontal component of its instantaneous veloc g4o md4mfe96pity at the exact top of its trajectory?

  Ignoring air resistance, the hori;;y q.av0e.eziaot el(f:ps*zontal component of a projectile's accelerationizayeav(e:;l;s. * 0o fpqet.

  A soccer ball is kicked with a velocity ofp/qh p -9h nk(3xqut7s 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 directed anti-pal:5 :vz.bt3uv8 tqijqrallel to the velocity veqvzbti 3lj:5 u.v8:qt ctor,

  If the acceleration of an object is always directed per jc j1pm :o9l;8oxbdo7e g7n0bpendicular to its velocitbn g o7x87cl;mbodp j:e1 jo09y,

  At what angle should a water-gun be aimed in order for the water to lad j( .o/mnpukt;;ne 1qt -wms5nd with the grea;p k(ntm 1jm.5qo /-dtnws;ue test horizontal range?

  An Olympic athlete throws a javelin at four different anglem-6-, hest ufn ;devz,s above the horizontal, each with thnvde 6-t;z-hfs,ue m,e 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. If the ball leaves your has caxwz* vb/h:d u*y8srj9f1(nd with twice the velocity it had on your first throw, its horizontal range R (compared to your first h:9xdz*j su8b (awc rfys/1v*serve) would be

  A ball is thrown at an original speed of 8.0 m/s akm91n m8)mh tlu3n w+zt 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 a.8mg 3(crr);vtw6 mh9ow 1 jhic+wxflttempt reaches its maximum height, how does its speed compare to its initial96w j f;ro1 wihlr(hc+mg)t .v m38cxw speed?

  A stone is thrown horizontally from the top of a towerji)(uqayn0 s pw3cb2 : at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the sa0ynj3c(2: uw)piqb level ground below?

  A bullet is fired horizontallypwwo *z gnts2dla/6a- ibk0 (5, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the(wta0bn 6i/askdlo2p 5* -gzw two bullets.

  A plane flying horizontallo0qmqpsd ; h5bg. s82ry at 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 packages land on the grour2q.8dbqs 5ghmo sp; 0nd?

  A package of supplies is dropped fr; g lbz ri,myyuva05y5gsc-:4 om a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packa5vz:y0yags, i4g uy lb5m-c;rges will

  A pilot drops a bomb)jjli 1q ,aua cj-ss86 from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location o,6qaci)l- s jj1sua8j f the plane will

  The acceleration of graqnx6 mees) 1e3vity on the Moon is only one-sixth of that on Earth. If you hit a ba emx31e)6snqe seball 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 inz 1vzbyofr7 uv /py,,nt/ut el7 ;n7(e the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity u/t lz7 vpto, e n,;17 e(yry7nzubfv/of your car to the other car is

  You are trying to cross a river me1 urqvi6 *zg 06+ow/6v 6fi adat+imthat flows due south with a strong current. You st 6i+ofi6 e +z iv0g*wmvmra61q/utad6art out in your motorboat 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 ate v- sz/)y 0pp)06s5bvqah9jcif)vn3alic 2 d 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 kzdv6fp)) cqip5i/nv2j) l 3s0a0v-h cbea9sy m/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below thehvp wsd69e)i 6 +x axis. The y cvi sh ped66w)9omponent of A is

  If a ball is thrown with a velocity / .svv5yhp 6mwof 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 l 0+wzls: qhzq 1wio7e8ine in a direction north of east and you end up 2.0 km north and several kilometers east. How many de1s:0 wiz+ qwql 87ohzegrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x compn0id ou2o2o2m)hjb 3c onent of its velocity is 8.00 m/s. The angle beoh o2 2u32jm)cb o0nditween the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadowli.b/lz)m : :* *6:z/h : telaukjms (hrfuwap over a level ground. At what angle is the Sun elevated above.l:/m*bar:ps:/ k imla(zt6f)*:e whuhuj z l the horizon?

  Two vectors A and B have components (0, : +wegyqvuw5+ j g6:dk3eko d01) and (-1, 3), respectively. What are the components of the sum of these two vector3uj:qgd +5 ek6 :0vewydo +gkws?

  Two vectors A and B have components (0, 1) and (uxy7 z.u2oy1jfn7q r+ t00x fd-1, 3), respectively. What is magnitude of the sut2odu yx0yu+fj f n.r17q7 zx0m of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the madf5y f-+id ep+gnitude of ++i-pd f5dy efC ?

  A car travels 20 km Wesgij;bg 4fbh,2 amn r6mv;n.*p t, then 20 km South. What is the magnitude of its displacementj g. m;hgn m,4v2;ar p6*fbnib?

  Three vectors, expressed in Cartesian coordinates, p)d/ecz :*rukare
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+: dqj g,)mowv in Cartesian 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) and vector B = (+3.0, -8.0), what is thw959fb6s:buefg5 a(pmyn yr +e magnitude of vector C = A (9 fny:pbs 56ay bem9w+fug 5r- B ?

  A runner runs halfway around a circular pathtltoz c74v2+ j yfc ;j.b*w.fl of radius 10 m. What is the displacemen+.j wojff72z y ;4 cll.tbvc*tt of the jogger?

  Two forces are acting on an object as shown i f7 dz jqf60wod8*ptpo s37yh1q90dtyn Fig. 3-1. What is the magnitude of the 67fdyd9 qj3fhywpz pt*01toqso 078d resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the direction 7p 9;3og ma +evqo.5 siwxbsz(of the resultant (+eam o bg9q ;v5s3 i7zwxsop.force?

Vector A is 5.5 cm long and points along the x ncve- +ql20ug6pf jg4axis. Vector B is 7.5 cm long and points at +30e to the negativen2 el cpjfu+g46-q g0v 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 points at w8vwuors0*+ riqekpt3(k z 3e.b;deus k :12t$30^{\circ}$ 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 wit 9 irhrxqf:*91ile k1ky/qx3 nh 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 cl /nl91h: qrrk xyiq3xeki* f91iff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with 1w 9 rw s3adg8a0pk4vka velocity of 10 m/s, from a bridge. It falls 20 m to the water below 4kga8 ww0dk93rasp1 v. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the grounx yp3oi i5*dwc; 0i1gb/pnfh7d, strikes the ground after trav 75 d3iyip 1bgc;/pih*of0nwx eling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-r +9:rw.t(t dgs1pqmg jump goes into the jump with a speed of 12 m/s at an angle tts:g1p9 g. d r+qw(rmof $20^{\circ}$ 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 akm (qx(n;whdc/-6yfp ho9.e of 12 m/s at an angle .(h 6 e;odch/amp f9xny -wqk(of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at : :s2uyv 9 faocr3l*mgan angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launche ra(ciu8iz* 1ad 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 angle of trwa2w tpju+ol- 3/ a9$30^{\circ}$ 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 roopw;:ils)r r(h f of a building 55.0 m ta)whpil( sr;:r ll.
(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 witms3uof4w qbx39xo +ump g:*-: bnqv 7oh an initial speed of 55.6 m/s at an anw g-s u:47ofb9bo+3x mx o3qqvup *m:ngle 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 x 86zf:idst1 xofn. u2a 1500-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 slows your speed by 2.0 m/s, the ti21ot8u:zfix .sfnd6x me it would take you to finish would be

  A plane has an air speed of 200 m/s due North, an sx9kb5gy d khos4o4np,yw+:+2,wx awd is in a wind of 50.0 m/s to the West. The plane's speeaps+s :xd og9 +ky2 wh5x,4o4,wnw bkyd relative to the ground is

  A plane is flying due Soutz+uigmdj* 2k6 p)d8k-0al szad8s;ev h ($270^{\circ}$) 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/4jsea ( ;eeyak)ts/o 1h 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 2 )0*bghhehy af-1nm 3o00 m/s horizontally fires a projectile with speed 50.0 m/s in a forward di1yeh 0fhgah-m*bo 3)n rection $30.0^{\circ}$ 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 omau 56q*4z egwith a current of 6.0ea6gm*5q4 ozu m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat )p1v*tpjs k. rthat 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 will r.* vj1sp p)ktit take to cross the river?

  The driver of a motorboat that can move at 10rg/,5vycedh t3: vxk* m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/stdg, ck5/v:rv x*ehy3. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite bank qk gm7pvd* msf1 .t0ltd 26a0ain 6 min 40 s0dda7 0sm gt vpf2q6ltak*1 .m. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading dil;amf 3ly/lv y/rk*qz3p z4-yrectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the currentr4yl3* -/amq/y3ylf;z pzvk l ?

A boat, whose speed in still water is 1.75 m/s, must ql+av.vb.w-zaim upstream at an angle of a vvwb.l- q.+z$26.3^{\circ}$ (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.