Which one of the following is an example of a vector 6e:ax e s41wwzddbr(lb: .4pvquantity?

  Which of the following operations will not cha70 o,cmpg 0w6jnf g+abnge a vector?

  Which of the following is an accurate s3cb 6nay;+ feen*w:tutatement?

  The resultant of two vectors is the smallest when the angle between them is w wqtz3x be.3zx:.v.v

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, qb-w1 v0vtei2respectively. When these two vectors are addedi-v1v0eq2b wt , the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. n k mvo9kn,(tq h-z(l*Which one of the following is a possible answer for the magnitude of tkzvlmo n*hk(n(9tq, -he resultant?

  Three forces, each having a magnitude of 30 N, puqzf pv (. t0gb0as/-rwll on an object in directions that0z/v pfqb0 tgw(sr .-a are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown veco;52 d rc5ku ilk:fsq:tor is

  Ignoring air resistance, the horizontal component of a projectile's veloc g,s ;)t42 ahf,aci2jx+y zvdaity

  A ball is thrown with a velocity of ;m8gs6x4 o djtm mad+.rd9d4p 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instan dr aod m.49+m8dsx64;pjmgdttaneous velocity at the exact top of its trajectory?

  Ignoring air resistance,akf w3uxlunx3y0* km:z */ v1y the horizontal component of a projectile's accelerationf/yy n wkz 0xu:uk1l*ax*v3m3

  A soccer ball is kicked with a velocity of 25 m/s at an angle g)6ec6e j;mxsof $45^{\circ}$ 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 the vk,u 362p cgkbhelocity vectg,32cu6pbkk hor,

  If the acceleration of an object is rr+ir2/l -xizalways directed perpendicular to its velocit2+rzr-xili r/y,

  At what angle should a water-gun be aimed in 2lsgtmzq89n3 ) p(*xwbf mau:order for the water to land with the greatest horizontal ranzam pg82(ql*bxs 3w9 n)fmtu: ge?

  An Olympic athlete throws a javelin at i0kx(yb 2,)uh rfcz 8ffour different angles above the horizontal,ifbh8f) yurx20z ck (, 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. If the ball leaves your hand z r)l .qd*.drmwith twice the velocity it had o)*d d.rl.zmrq n your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angltu;.ws+t v4ck e 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, how does itl. o8l2rzloe.d/uus, +l v l9x3fd7nu s speed comu. el llfovl.o 37z/u,d2 uxs+dnr9 8lpare to its initial speed?

  A stone is thrown horizontally from the top of a towtmd2if o2u,uv6fqs/r;vi2 , di*7 prver at the same instant a ball d7*io62divv ut/2,v;sfpq 2rf r ,u imis dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired hori /h)op/qw5o1npas bwses1 42m zontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of thebe4h1n5 ssq owp o a2p/m)sw1/ two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of(, i:hm*j3 1xosklkir 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages lanrx ,hli13(j *km:kois d on the ground?

  A package of supplies is dropped fro h;x;etwx(rkp0i7zm 4)j i) iem a plane, and one second later a second package is dropped. Neglecting air resistance, tr;) 4pi eie(k0;wzm i)htj7 xxhe distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speedmjh ;bs(pc)+p *;xwvy . Neglecting air resistance, when the bomb hibs+jhx)cm w;vpp (*;yts the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of th :rohmy4xk mwwsv*9 h*m ;bo3)at 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 ball wouldwhm yhsov)mow* bk:4 * 3;mxr9 land

  You are traveling at 55 mi/h in the +x axis rel 3 s7nwfl4x(wegv rb7k)b+u 3sative to a straight, level road and pass a carsg wulnk+() 3fwx77b rvs3b4e traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to crosst )-uaudjhq ,h79xd6 e a river that 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 starting point. You should head yd, ) dj-67uu t9xhhaeqour motorboat

  Your motorboat can move x5/cr bb g/g,jik, vt1at 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river floj5/g,1 bg/v brktic ,xwing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of lksx21 /xsnlyrv/ .a0 30 degrees below the +x axis. The y comp02/ys/nrv. xaxkll 1 sonent of A is

  If a ball is thrown with 0gi-f8f6fcwnm*adenry c*7pe1 . 1 tk a velocity 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 in a direction nortdtw0 . s0kpwxwhw6) h9h of east and you end up 2.0 km north and several kilometers east. How many degrees north of eahwt09dwhx w k)s0wp.6st have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocitj,k+v ;lr rwv *vidb+;q+.samy is 8.00 m/s. The angle between the direction of its motion and thrvv+v +jm b;a,.dqri;l *kw +se x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level gpwzb52wl6x wam(xemc38 vs 4( round. At what angle is the Sun el34mp5wcwxbv e6w 8s(l 2xa (mzevated above the horizon?

  Two vectors A and B have componur7o5-b .ru yoents (0, 1) and (-1, 3), respectively. What areour 5bu-o.y r7 the components of the sum of these two vectors?

  Two vectors A and B has1)svprji xyi 286q+ttce n3ms 68w.azbs 3c 2ve components (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vecits2px)2s6tmjq63v+ c1.n8c8se a3 zrbsy iw tors?

  Vector A = (1, 3). Vector B = (3, 0). Vba9p/ro wdc )*ector C = A + B . What is the magnitude of C ?9pboa*c w/)rd

  A car travels 20 km West, then 20 km South. What is * r.)vzl7latonm.g bm 9kok56the magnitude of its displacement?bml56ookv n*.akt.9rmzl) g7

  Three vectors, expressed in Cartesian coordinates, bg6 wj4p2n.-) i3+nhdbdta;z ugw;hn 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 Carkd w u7 5lhmvecc; (:jpym6*.mtesian 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 v5w 7eg qtj2zm/, (cyxvlf)r t8np.a*vector B = (+3.0, -8.0), what is the magnitude of vector C = )wq5vjt2gpe (fy m7l8/racvn *,.zxtA - B ?

  A runner runs halfway around a circuv6ty1 bw f2co fr)z 08ph kg3m0ek+i8jlar path of radius 10 m. What is the displacement k8op yg 82ke+zvb frwihfc0mt3106 )jof the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the -sl c3e kzan8ub5a)f4 magnitude of the run3)-4 8sab5eck lafz esultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the0kb5 (gmu:yoap ;x-tu g e +/.i)rntvc direction of the resultant forc+0a:vu te-oy nmp;.gg) 5tk(ub/i r cxe?

Vector A is 5.5 cm long and poin(uis6ia *v zgxv))*h r2i5mfpts along the x axis. Vector B is 7.5 cm long and points at +30e to the negatir ausx6vfi)*h)g*2i v(z5mpive 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 angnf)z/( ahh3 t $30^{\circ}$ 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/sp taco 5xp yzci:n8fo1170l8g n v5:qc from the edge of a cliff. A stop watch measures the stone's trajectory axg1 cnqopn0pccoi5yvt78:flz1 5 8: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 horizontallop /u:pi+hn(c y, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally befo u+:hop/ ip(ncre striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the gzy/5o)gbk1 zrnel 8k 3 hf) .niy)lp8oround after traveling horizontally a dishn)bpkn) kz188 y/.o i5z)g el lr3ofytance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 1*y9ly , o73 6tkzkir fd.ty6a:/q jsip2 m/s at an angle of * ,tpkjyf/36t7droy silyq a6i9 k: z.$20^{\circ}$ 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 7*axcqmg.,y9ik e4 )g+qfv:oxn m 5a cjump with a speed of 12 m/s at an angle of:xm 7aa+ v4c5c mio.,qgnyf *e xqg)k9 $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an anglekf0 o7o7 4ffsp of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial 2z-,: f6*vv rjwd edycvelocity 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 ofr 7kpdj n1)8th $30^{\circ}$ 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 olo:1z itn.fmo,0 o s6gf a building 55.0 m sgo ni60:omo.tl zf1, 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 from ground level with an initial speed of 55.6 m/sza l,on(:ouv 0 at an anzunao l (,o0:vgle 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 velocity of 4.0 m/bq5n+87(a l /-tgrw w/ stpgfuwbbh7.s. If you ran the same race on a day when you had a constabg+- bq tfs h wwp utb(/87w.agn5/lr7nt 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 speed of 200 m/s due North, and is in a wind of 50.0 m/s to hp hy+ o *lcje8;4sbb;the West. The plane's speed relative to the gro oyj+*s ;hp;ch4e8lbbund is

  A plane is flying due South (nl jiwx.)(0w:;ldj w5(yn yqp$270^{\circ}$) 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 speedd,)l+ 4bd vyed 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 200 m/s horizontally fires a projectile ew* fe, zf9kmsu3; im;with speed 50.0 m/s in a forward imefu;wf3; ,skme*9z 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 acrg m.;-ovrwyo ;oss a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the rivervm;;wr-o .g yo?

  The driver of a motorpdu7 ; kiwc gf1oka/m, )+yrr,v 0p+dqboat 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 will it take , mr)pr;cygi 1d k+,/udokvapw0q7f+to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wis36l3 dixre0uxhes to travel directly across a narrow strait in whicx0 e3r 6ilu3dxh the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across 3m+. *dle,/ flo2 p+er upwwukxs/y8ea river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstreaku,./wedo 2plel p8 mux*/er3s+ y +fwm 480 m. How fast can she swim in still water?

  A swimmer heading directly acrossm oke349t yxd.3n j3kk 1ae3mi a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480jmn3eom k3 d9y13 3k4ix tek.a m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an angle oul84 +n)s dzofu+ hkz9h1rv.:7 mxm ftf +h1f7ud)mrzx+9v of8t.nhlz :k4um s$26.3^{\circ}$ (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.