Which one of the following is an u v c;uh+ub,39w*ou/6nvjcnaexample of a vector quantity?

  Which of the following operations will not change g-l( gbnb9lw,a vector?

  Which of the following is ankwk + wshi*e5m -2;ssn accurate statement?

  The resultant of two vectors is the smallest when the angl18f xs7vrd z negt)5g s)6o64o (qpkeie between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivenzlzejnhz *,*3r7b. ply. When these two vectors are added, the magnitude ofnhz 37n* bpj,ez* zrl. the sum

  Two vectors, of magnm 2/i36sdz8gng5t2p f wsjv r yqo55;aitudes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the resultantss8tjggi o ;p 65dy 53vm f2zqwna5r2/?

  Three forces, each having a magn+kse 45onz5d/; 2dlulu u fm1uitude of 30 N, pull on an object in directions that /ld us5mn dkf ou1 2+l5u;zeu4are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectorv*e:.pjf+x0cp8ar remqfh8 6 is

  Ignoring air resistance, the horizontal component of a projectilqv,,v a1;gm+rdsk. e xe's velocity

  A ball is thrown with;w b)i4mrp lvel2ni, e j-m2vy*7kaa) a velocity of 20 m/s at an angle of 60e above the horizontal. What is the horizont klvrblei*vj))mi72p e;ma42awn-, yal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a pyr:hiou5w gtx 6o;73gevk 7) zrojectile's accelerationegzi7yur t6h5 )w7; :kgov ox3

  A soccer ball is kicked with a velocity of 25 m/s at an o76 wldi-y/d.a lrl4 uangle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vec nxcj 164b1qb3u ug/jhtor of an object is directed anti-parallel to the velocity vector, jb6bx qu4gc3/1uj1hn

  If the acceleration of b(l1hq-:4vu bp 4gc r+qj/vovj4xz3 ss92vz f an object is always directed perpendicular to its velocityx 2gj:br4v- 3 vo94pls+ v1jb/zqshqvz4( c fu,

  At what angle should a water-gun be aimed in order for the water to land withi3-hx 0kqw7ix the greatest horizonta q7hxiw0k3xi-l range?

  An Olympic athlete throws a javelin at four different angles above the horizojsmc/gsy/s4 8mg c7*u9jz3v i ntaj39 m/8zssvu /ig4 cjsc*7my gl, 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 qkrhlei7 w9+ +ball leaves your hand with twice the velocity it had on your first throw, its horizontale9hq+7k +rilw range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle of tr+j.bkok0fi en0 - o ;epd-q3$35^{\circ}$ 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 g w-avws:vy ,7 1:molbdoes its speed compare to mv: o1s 7b,wvgwya:l-its initial speed?

  A stone is thrown horizontally from the top ug,/3c ;u bthlraa,:1 .yqdgmof a tower at the same instant a ball is dropped vertically. Which object is traveling fast;rac.m1 u,thbdl3g,qyau /: g er when it hits the level ground below?

  A bullet is fired horiz 3lq *uqsk4og7ontally, and at the same instant a second bullet is dropped from the same height. s og 4*7k3uqlq Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of k/nlw-0mdig f /l-zyaur7. (v50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops wl0maiuydkl(z / /vn-fgr7. - a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane,y1dr 157hqmc e and one second later a second package is dropped. Neglectin7yheqd 1 crm15g air resistance, the distance between the falling packages will

  A pilot drops a bomb fromw,qp -u(iy 8 bi1mdb9u a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the groun-9 u1p,8uqym bi(d iwbd the horizontal location of the plane will

  The acceleration of gravity on the Moon is onld /m8;t9p7cms o okha/y one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at themd//t89o; aokc h7psm 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, leve(ovxh1uc h 2ze-9bo.9-w hm jol road and pass a emoh9-xh.u-21 b cw(jz9 oohv car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due +o5v bshcnj6 y r54,mfsouth with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your startic5 rsoyv 46h5nm,jbf+ ng point. You should head your motorboat

  Your motorboat can move at f:sy( edej 5 e+(ncwt 6)b/nur30 km/h in still water. How much time will it take you to move 12 km d:t efu/5ery(w)6(j+n ec sndbownstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 3: 1,vu7dgg4qecwyzdp w7k. /5* s.3kben fh tm0 degrees below the +x axis. The y componenv,cqep *g7 bhuk5f. .s1w4 7ntd3 z/ dmeyw:kgt of A is

  If a ball is thrown with a velocity of 25 m/s at an an,uy+8u qleth8 . g.*f qe2nivngle 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 of e/jf*z9 b2 zsv01 p zykjzf+eg(hur53kast and you end up 2.0 km north and sevehgufj f10(+zzz e y 2v/rps3k*z5bjk9ral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed ofqdqv5,b+guv ;6, stm5 xdcl j0 12.0 m/s. The x component of its velocity is 8.00 m/s. The ,;qbsjv+xudv gld, t5 c 56mq0angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what a3ya3c tqn0 h1dngle is they dh qn133tac0 Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) a2xnvqzg9. +hr nd (-1, 3), respectively. What are the components o 2 v+h9nrz.gqxf the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What ia0f jkwfwb+h-*fs9 e)ez/,v0xjqf 8t s magnitude of the sum of these two 0f, kw*efj+wb h/qv -9 fjzfxta8)0sevectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B9jf: oq5m)n mpbx g.d0 . What is the magnitude of C ?m.:pf xj9)m50q ndgob

  A car travels 20 km West, then 20 km Southrc( ke)(ucl7b q9hil/ . What is the magnitude of its displac il)lqrh9c7/cb (eku(ement?

  Three vectors, expresst jd9,gkq-afv91p)zs6ja l6xb 2ypl:ed in 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 Cartesia/yisfa:ug af5keyc 9,0n 40 yun 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 =6 j.i9c* vm.vzf 0rrdp (+3.0, -8.0), what is the magnitude of vecto.z rip cvdm6f *.vjr90r C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is theqnm 8-p0l i;ht displacement qhtp;0li n-m8of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is2.biff(og i 8t the magnitude of the resultant forc of8f2 ib(.gite?

  Two forces are acting on an object as shown inrav;.-wkc2n m0ggm, mb( lg3 )ika,);g ongfs Fig. 3-1. What is the direction of the result-r,)gflnvm2 a0,ibggs ;)mkw mg .n(c;go3kaant force?

Vector A is 5.5 cm long and points along the x axis. Vector B i 7rum,* pr3ihx1kc9tks 7.5 cm long and poinm,3cxurikk 7rt*p19h ts 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 a4 wbxmwe0thi.l)jt-)nd 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 horizontally with an initial speed of 1uwcy5 g p2 sek0b;r j-ef(2;rr0 m/s from the edge of a-s2k y0br2p5rfuer(jc;g we ; cliff. A stop watch measures the 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, withoqf;hade97;f ok+;7;usjmnok) iz o9 a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far doeso9ko+uhn;;9fk) a;;m esj77oizdof q the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the grt2(zel;mijy 4criw 4v2x4iy4t t((p/cndb v1ound after traveling horizon2nbi4 xle4 cti(p y(2idm j(tw;tz cy1v/r44 vtally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s 9 f950/rmp zdki, jwixat an angle or0ijzfm9 pi9k/wx,d 5f $20^{\circ}$ 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 of 12 m/s at an angleqd:.030 dszq/ );dl1azbq mm, uoxva l of o)qauml, 1zz; ddq0 x/0avd3:.sqmbl $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s o)up t p(r1rkucb35 (5 hr/venat an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.xk omw w7/7*nt0 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 2g924qq brtyj7a,huw 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 dsx:,s a *3 wp+xfze(5 *nwuqb23.4 m/s from the roof of a building 55.0 m xb*q+pw3:ezn*,au(x w 5 dfss 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 grou iy.cx0 : /irjvq:93ssdoats0nd level with an initial speed of 55.6 m/s at an an.:iaiy3xsrvd 00jsq :sct o 9/gle 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 nz8uh,qatp rm-2)v;z a velocity of 4.0 m/s. If you ran the 8 pn2r) ; qhuzmtv-z,asame race on a day when you had 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 rt+b* 2/hqn7g ki 5lc;vq-tja North, and is in a wind of 50.0 m/s to the West. The plane's speed relativk/ +r*; tcti -q5gql7h2bnjav e to the ground is

  A plane is flying due Southa:/ij cz)d..,umm ,ki jd; mr0cro 2om ($270^{\circ}$) 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 120j : -s;w(mfa(mtf) mgk 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 firessa 6d0yb 8hc9v )kk*jw a projectile with speed 50.0 m/s in a forward*jwd8bkhyv k)acs6 90 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 across a river witmfjy/uj.0; 2tub fq l dle2y9xu07ve8ux;u/ yh a current2 u0fm0vj2y uy/byq 79;lu xx;teju/ e8u.dlf of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 5 il0m4o lynk.10 m/s in still water wishes to travel dn05l iy.m k4olirectly across a river 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 motorboat that can move at 10 m/s in still water bph;8qn)uzjwf /hh-0wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the hu qbfh h/0)z8;n-jwpdriver head the boat?

  A swimmer heading dir5h o.-rympuionk j. b nrv3-9e;qd;o2 ectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast nyv 3.r; oo 59bjhpqi.m-dk n eruo-;2can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches t/ l4 lnm;-l6hr(dakz ci +gi,she opposite bank in 6 min 40 s. She is swept down; nk,a-c 4/gsh+r( zi6lilldmstream 480 m. What is the speed of the current?

A boat, whose speed in still water is g36b 6r bkcoriq ,;mm81.75 m/s, must aim upstream at an angle of 3 ,bkqb6r8;6oc gmimr$26.3^{\circ}$ (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.