Which one of the following is an example of a vector quantitb wwrhh: hig 1qmx7 n*+/m.ro((zae6pmz63jyy?

  Which of the following opef .urgg/w6j3eipcjm:x(d3 .t yd. cj4rations will not change a vector?

  Which of the followinm- .au;/idkp rg is an accurate statement?

  The resultant of two vectors isn.zl1rtzw 8:q, 9ywk5qcr ,xi the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivelhk o1 4q-tgtmz;f3s(.g n/i kny. When these two vectors are added, the magnf;/.tmg-n 1 kqgn( zihkso4t 3itude of the sum

  Two vectors, of magnx)(qp *ae,,0dmyq ( o .hjxbzxitudes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the r,x0oyh(a xq ,(p*me.dz)qxj besultant?

  Three forces, each having a magnitude of 30 N, pull on an object in dnju4u.p:3snw2gs 52tkj n)okirections that a:3n2j)spnnskt.k ou45 g w2 ujre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknowni s+mevoy;prs. 67iq)pv6:iy5 spg4 f vector is

  Ignoring air resistance, the horizontau w;6w /k53ym3gbh,uf +xgk +xytbs,r l component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e abkcmv7abbow:/f kx/ 4-ove the horizontal. What is the horizontal component of its instantanec7 -kx/w mbkfvb/a4o :ous velocity at the exact top of its trajectory?

  Ignoring air resistance5:9 ys mqhkw-ndqaqzyp9 ;+ j4, the horizontal component of a projectile's accelerationd9a5z hmqkqq4 wn;ysypj +9-:

  A soccer ball is kicked with a velocity of uk 4;a(ujnfags61y:n25 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 oc*jov7u/l:ymon y1p 9bject is directed anti-parallel to the velocity vector,l7j*n:1 pocyuy /ovm 9

  If the acceleration of an object is always diri4qxj2 jbpm1bc 7v3o1 ected perpendicular to its velociti124 x jo1mqv7cj3bpby,

  At what angle should a water-gun be aimed in order ;w6fkeno m-*rfor the water to land with the greatest horizontal ra6wokr ;-*fne mnge?

  An Olympic athlete throws a javelin at four different angles above thebo g 6ps0y;0barzz7amo uk* 6) horizontal, each with the 6sb a*gb0a6;ky 0zu7po o) mrzsame 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 timeaf*64p qstv8zqbx .j5 . If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) wo*q x.5zvp a qj8b6st4fuld be

  A ball is thrown at an orilr+r0 kzb z. 4;gbsbj8 1ko6oyginal 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 recnblu 8yd082kgrxxc 455l0b+zuc 2p xaches its maximum height, how does its 0ku2px 55uxlczbldx n8r4+ybcg0 2 c 8speed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at thr 76nywc4q 7jo1 4j/izkx3 m+qi4ld lme same instant a ball is dropped vertically. Which object is traveling faster wy/k7 do7z41jx n+milj q44w 6mil3 rqchen it hits the level ground below?

  A bullet is fired horizontally, and at the same inssyk(aww v: hj5 c0(k0ttant a second bullet is dropped from the same height. Ignore air jwwk(05 a s0:hytvkc( resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/d iveb gxj.; mb;li86 9.1bodus and at an elevation of 160 m drops a package. Two seconds later it drops a second package. Ho.di1 l9;m ;6x.jo8gbbud ibev w far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second -dptku/u: :-w bpfkx/ later a second package is dropped. Neglecting air res-kbu p:u tw/-f/px d:kistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontalo4o om,l-t293(vqvu 2*a0 veajqvdsbly at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal locabv,e*tq2 uvv s 429jaqo30olad(v m-otion of the plane will

  The acceleration of gravity on the Moon ishe z k7 phpuxwuy*n;/( :j0vf* only one-sixth of that on Earth. If you hit a/kw vu7 nh y0zphe(* *;fj:pux baseball 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 a straight, level ro-( l4cvbn mfr- zod9fsk) j,,kad and pass a car traveling at 45 m4n,kkbf (sv - f)clrzom9,dj- i/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows du;v e- n y4l2esdiux2rr,,(jp te south with a strong current. You start out in your motorboat on the east bank yn(2j u;er4 ev,pdsli-,r t2x desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30a24wl(e8 8yzucx k+f d/t*j wv km/h in still water. How much time will it take you to move 12 km downstream, in a riverl kjxw+z84 (tcu*vy /f82a edw flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. Tbah0lz t*1ol8q enk6 5ng:v )dhe y como:hlzdtln)nv5a0kb81 6qg * eponent of A is

  If a ball is thrown with a velos rh3 + 9ss6xomgv /n5hg:nnb+city 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 north(:nb44oi4 jcom2sw qt of east and you end up 2.0 km north and several kilnqs4ot2b( w44comi :j ometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x compone4bnr3hh.tj. q nt of its velocity is 8.00 m/s. The angle between the direction of its motio j 34r.bnhhqt.n and the x axis must be

  A 400-m tall tower castk zo7ono :6 xwuk,j.5bs a 600-m long shadow over a level ground. At what angle is the n:kuwb zxk ooj67 ,o.5Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), ul+ynx yr8 tr/zrg8 r) e-3i,trespectively. What are the components of the sum of these two v-+83r g truerxzr yi)/,8tnylectors?

  Two vectors A and B have components (0, 1) and (-1, 3), re (yv wfl:lsiv)li()1c spectively. What is magnitude of theyl)1:f cii l s((w)vvl sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A c/f zhb8jq nk-4 hdg4j/ (d6wz(,ksux+ B . What is the magnitude owgn kdhfu, qz zs4/8 k6j/4(bx(jhcd-f C ?

  A car travels 20 km West, then 20 km South. Whan 98 zuhyh4h1wt is the magnitude of its displaceuwhh4 zh19ny 8ment?

  Three vectors, expressed in Cartesian coordi-)qhw;d; 9/ addfiijo 9 svv(inates, 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 Cartesilx1 q +2h6e7k mugpk+.)gdnri an 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 vo0z9 o vi7kcp7v5 w*uB = (+3.0, -8.0), what is the magnitude of vector C = A * vovvi 9k5wz c07uop7- B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displa: hjkv.h; f6vicemf:. ;ih6kvjhvent of the jogger?

  Two forces are acting on an 06cw4k(*0ou tues dx jobject as shown in Fig. 3-1. What is the magnitude of the reu0(e do s6u4*twc 0xkjsultant force?

  Two forces are acting on an object as shown in Fig. 3-1. rc /f; cgtnh3mahb pb++87g n,What is the direction of the resultant forc+gr8+c bm3tcagnb ,;hfpn7 /he?

Vector A is 5.5 cm long and p ywiayxc6;thm ( gvuqjp( c2r5-p2(*voints along the x axis. Vector B is 7.5 cm long and*y2gi x cp;j(y av(c-62mr5vw uq pt(h points at +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 a:.6bk fk rb+2sgx c*eqnd points 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 horizont6jksu 8rkz8k 0c a30woally with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory k kj0z638 o 8wakrsu0ctime 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 m/s, from a bracj0baz: esk23 nq+vpc k+ 23xidge. It falls 20 m to the water below. How far does the rock travel horizontally before striking th0n3jp 23+abakxez+:kqv 2scce water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the grounzu frd3 (iu83kd after traveling horizontally a distance of 18 m. With what speed wasfiudru33k8 (z it thrown?

  A jumper in the long-jump goes into the jump with a spj7fc x4)odaqx,1aai zdbl/35jn j) 8oeed of 12 m/s at an angle of oqi3ana7)bldf5x dj,co)j/jz4 a81 x $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jumpvq5(2u:wvfapue2,0g bq5l(fq 7jgj. cigii8 goes into the jump with a speed of 12 m/s at an angle ofqgc5u85ai:g,pewjiqffu2( big( q20.7 vvlj $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velociti g,9 (eprghh1atq; f/y 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 an angle of2t 5mubhfe3 s,b-78f+vzdt1m hfm5xu $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle f- q 2hgc tca2od0;ubs -mh8;sof $30^{\circ}$ 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 p;se 2lz eklx81; igu:4/nnyyof a building 55.0 m tn2e pu8 ne:l; lgyi;4xyz1/ ksall.
(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 vdhq6z x-2*w pspeed of 55.6 m/s at an anghxp2*q d v6-zwle 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 1 ir*h h/yldg2of 4.0 m/s. If you ran the same race on a day when you had a constant h 12y dlg*ih/rheadwind 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 sx uecu. i;o +n7(ry3vm/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relativev(e;ux.uoni7 c + yr3s to the ground is

  A plane is flying due Soumgp(jhi-+on:9wa +ou2r0bq hth ($270^{\circ}$) 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 pde asf5a9ga*l726 hvc9x ,tdis 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 200ib es,8itt3c,tl2ix + /. sbrh m/s horizontally fires a projectile with speed 50.0 m/s in a f 8,,.3c/ hitl bexi+trtiss2borward 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 wate 22 (yzgow5jgvr is 8.0 m/s, is directed across a river with a curre5yg(w2z g 2vojnt of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can mtrsfnxj 7v s,3ye:9 9oove at 10 m/s in still water wishes to travel directly across a river3vtey s so9x n,9:jfr7 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 motorbo.+- apglkw)ow f-7sxv at that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the curreg7.-ps o-w a)lvw+xkf nt flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a u qqsz*+ ,,jbmriver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still wabu, s+*zqj, mqter?

  A swimmer heading directly across a river 200 m wide reaches the opposite baz++ f6:3awuza,suxg w nk in 6 min 40 s. She is swept downstream 48azu ,6g w:+fs 3a+zuxw0 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/skc71k hd8d8v f, must aim upstream at an angle of kd1kv8 fh7cd8$26.3^{\circ}$ (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.