Which one of the following is an exs 35b5e8, ;l dkc2exh+ t2hugxr6 erqrample of a vector quantity?

  Which of the following operations will njn20 tem,ca)vq1t; 64umx2y xb om-go ot change a vector?

  Which of the following is an accurate 3vewmng9eiveb:3l* ;w m /5 exstatement?

  The resultant of two vectors is the small/mm6 mkqrtb8 w4cmduld99 +y5est when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, vblcmy.(8ikm 3 fq8,wrespectively. When these two vectors are 3,cwi 8fvqlmbm8y k(.added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the fo4g u-rops*g4opfr ; -vllowing is a possible answer for the magnitude ofs;r- 44fpur -v oggo*p the resultant?

  Three forces, each havi gw3nzn( (ppj f:/lf pf41vdm8ng a magnitude of 30 N, pull on an object in directions tha :vz1(dp(ff 83/4mnpg wnpf jlt are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown9-i)h 9(*kziay us epd, the unknown vector is

  Ignoring air resistance, the horizontal componxic6- ;i*tguz ent of a projectile's velocity

  A ball is thrown with a velocity of.vbu a5g1( thz1/ fith 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory5 1u1tifvbg. a/(hhzt?

  Ignoring air resistance, the horizontal component of a p;:0j fffp c r(nb-)7pay*yqgqrojectile's acceleration7fq0 pf bg *c-apn:y(j )yqr;f

  A soccer ball is kicked (-5 +6jmf* yrzcvgqvawith a velocity 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 object is directed anti-parallel to theia xav,cg6s20hj);d mfpw, p0 velocity vecm,6 ap0v0p2f iac w,x;hjsg)dtor,

  If the acceleration of an obj 6ctwgf )3arhy vr26a+ect is always directed perpendicular to its velocityr63t2ac a6) yfhgvrw+,

  At what angle should a water-gun be aimed in ozs5mwmy5ti. d2g y.n9rder for the water to land with the greatest horizontal rangz g.mw i2d5.nmys95 yte?

  An Olympic athlete throws a javelin at four diff z, ka(a exuxnmxh92c(9gy.q-erent angles above the horizontal2 ( em 9zuc,9a x-xk.qyang(xh, 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 secbqe(ocjog)( (95ca 1ov kl :wlond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first sec )1a cwvo bo:5qe(( glo9jlk(rve) would be

  A ball is thrown at an original dxxt*(2mizt ( jr8k-n 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 hedom:uwp4v pu: djan2be3))o- ight, how does its speed compare to its i)e) d -pnmo w::jp d3a2v4uoubnitial speed?

  A stone is thrown horizontally from the top of a tower at the rob- 7iy4k;hy same instant a ball is dry4ho;y-rikb 7 opped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same invns)y yeg7zk20;t+p dtnlj 0ri ,8yl,stant a second bullet is dropply 8e; rt gd,)ykn jsl 0it07zv,2n+pyed from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a spv44nob83 t nti r; j(u3:tfivpeed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops obtvu pt: 4f38riv;(3nitj4na second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one secot t d+b.dhcc49nd later a second package is dropped. Neglecting air resistance, the distance bh.94 b+dc tdctetween the falling packages will

  A pilot drops a bomb from a plane flying horizontally at ( +sx l7lnlyqf( 0,ywhn5t,5bm*t eyl a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plqbt+0 sy (el5ln lhw7ml,y (f*,xty5n ane will

  The acceleration of gravity on the Mo0t )gg hpr9bhve(;2hgon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and an2r9e0)(h hvbtgp;ghggle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +xetn)k nruguc* ;7)4 fw axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative veloci;cgnw 7u*4)erftu )kn ty of your car to the other car is

  You are trying to cross a rive-+ pnv0yt owv -aszt(o2 00verr that flows due south with a strong current. You start out inyw-0o0- v0vszrpnv(ot+e2 ta 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 at 30 5z jt7mnhfdhme v 9sym: l++42km/h in still water. How much time will it take you to move 12 km74el+d9 2nj vs f5m:tymmz+hh downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an ,-e wzulou(q+angle of 30 degrees below the +x axis. The y-,+ luoz wu(qe component of A is

  If a ball is thrown with a velocity of 25 m/s at an a -h*gi -nba0e(3ebi1ymqyh, mngle 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 c18(ue fb/6cu byu 0csnorth of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you wal 06ces (cbcubu8yf u/1ked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity es*greq yc ggb w43vtv44pt- x*4k37ris 8.00 m/s. The angle betwe pv*g34tx4gve3 c -wbtg e74s4qr *kyren the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m tg -v2;gqonc hgr:x9: c 5;heslong shadow over a level ground. At what angle is the Sun elevated as;::oghgre 9 2 gh v-ctx;q5ncbove the horizon?

  Two vectors A and B havin8bec6 (2: wn c6dreds-tb9ie components (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vc68 e 2bwnd9 rd n6biist-c:e(ectors?

  Two vectors A and B have cod(,chwuf;*je i ux7cc+ r7 -pcmponents (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vectorf i;cecx- ,cj(ud7hr7 *w cup+s?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + ;)2c 2vv *jzapiebe 7sB . What is the magnitude of v ;2zve)saei72cp bj*C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of (qdmi-w-dk)ri* eo 7sits displacement7-r )q d oemk(dsi*w-i?

  Three vectors, expressed in Cartem37fuf 42hyy usian 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 :ctc :rw86;ojg k1ay )vqp:l7xbrsf4Cartesian 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 the magne br6jp (bkp s)*+kqq1itude of vector C = A (qe)1+b* j pskb 6qprk- B ?

  A runner runs halfway around a circular pat3u8pu )m3 a;m4 xl+wh7tgyombh of radius 10 m. What is the displacemeuh7b mo ;p)uwmlm8+3g3xa 4tynt of the jogger?

  Two forces are acting owxf60jnhr5.iwpwc 0 9n an object as shown in Fig. 3-1. What is the magnitude of the resultantwf0wpcjn 0.5hi wxr 96 force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the directio zlo 0cd620v.,3xwwe,pzbc y pn of thve, yw,z 0cb3xp.6 02odzwlcpe resultant force?

Vector A is 5.5 cm long and points along the x ax0vro, 1hae35kv l i9+umlkz/q ;p (wgdis. Vector B is 7.5 cm long and points ;53/l9k0g(, d qal1 uw zkvr h+moevpiat +30e 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 and poin5lj07u k7uhjjv7-adb ts 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 skgch7dc9t uyey1r:pn w d7j; 2a0)3gfrom the edge of a cliff. A stop watch measures tjgnekwy a y tr:1073ghsd 2)d 79upcc;he stone's trajectory 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 horizontally, with a velocity of 10 : s k.t-j5k8z bkbg p3/zezm+em/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontall. kztbe :bs/ kz83kg5zpm +e-jy before striking the water?

  A ball thrown horizoncsz 0 69ziz2l 0zppu)ftally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With whatu z0zscpz9i) 6zl 0f2p speed was it thrown?

  A jumper in the long-jump goes in 9hv,u-mcklb 4mjud8,to the jump with a speed of 12 m/s at an angle of k,-9bcudmjlhm4 u 8 v,$20^{\circ}$ 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 spek0 cbat ,5nhiopc );1xed of 12 m/s at an angle ox ;nk achi05cbt)o1 ,pf $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial vy*x7ei. acn9u/oa7 b felocity 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 velocity of 60.0 m/s at av 1 3-gbx 0p7k/ns3x)rrj9a ,qvsp5pxu 1 jwpen 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 o s 5y*x .xha;zlm9dq8jhg3hg0rx1t8 vf $30^{\circ}$ 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 fq-c tmo-3bc 4iipcop69m * l/yrom the roof of a building 55.0 m tpi-m/lqy ocm p9*43cct6b oi- all.
(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 55.6f mqe4x:c8h2f1z lo :s m/s at an a :z2f1oe :fsmqx4cl8h 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 j87b3e.-el kk p;1 ltuk+vrumsi:mo )run a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had.t3k rvu k+lie8m-)7o:pe u1kb jml ;s 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 speed of 200 m/s due Nz l(5dlpyfx 17ntd c5ro:u4:corth, and is in a wind of 50.0 m/s to the West. The plane's speed refy5 copl7tnudxzcld1 :(5:r 4lative to the ground is

  A plane is flying due 8kew ve a91x2eSouth ($270^{\circ}$) 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 126,gj*h7o3rd: c gwaoo 0 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 pr3+on5uet t19h 5b m9xkr dkb.aojectile with speed 50.0 m/s in a fo9uahn3 9t5kex bmo1 5.rbd+kt rward 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,mn 24d w nc40j-fjf1xmhbja8+ is directed across a river with a current of 6.0 m/s. What is the speed of the nn8-mj4fm +xfwb aj04c1dj2 h boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to t/;dtnun y-h 1- gdjjd1ravel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will itjng--jy h/d1 td n1ud; take to cross the river?

  The driver of a motorboat that can move at 10 m/s in sw dduxm 3a6 i*)t6sn:etill water wishes to travel directly across a narrow strait in which the cursmewu d3:indt)* a6x6rent flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wic-9jh 3 f6kxbkde reaches the opposite bank in 6 min 40 s. She is s 9-k3cxh6k jfbwept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directlyu 7/gkk,j0 6fi mr l;yn hg+d12)pttyi across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. mp;6y1/,j lkdg0gh k+ i fui) yntt2r7What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream ac.3zx,x1n2z4 gtedou t an angle ofx , uo4t1ze2cxn g3.zd $26.3^{\circ}$ (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.