Which one of the following is an example of a vectorhl a+.;h iaga .nme f+j h.0s;0jvubw5 quantity?

  Which of the following operations will not change a v* /ie pr+/1qm9 yfmrzl+kt ostz91. mvector?

  Which of the following is an a07hpt 0 -ng)z,y/ gqduu/ezyva8h: ytccurate statement?

  The resultant of two vectors is thefh o xp)vw5ma / o;akidryo0m582ja69 smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m (0/ n4tbyn7ycvkq aq *and 7.0 m, respectively. When these two vectors are added, the magnitude of the su/7aq0vtnc(b ky 4*nyqm

  Two vectors, of magnitudes 20 and 50, are add1 tiohe;8xf8;gtj6dcj gq-a-x 3(xgyed. Which one of the following is a possible answer for the magnitude of the reqfgg-x-ahj1 t td(;;je g8 ix8cyx 3o6sultant?

  Three forces, each haz* ql;;5l qvuoving a magnitude of 30 N, pull on an object in directions that l*z q5; vqul;oare $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknowny/ojt6wu n9+nf r1t8 i vector is

  Ignoring air resistance, the horizontal coepvp+pfvt ug -f y9+q;1b:q2 wvo8fr/mponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e abo iu:gl j)o c9muy6mgn4mn0 i;*ve the horizontal. What is the horizontal component of its instantaneol0 ggin;6nim y:mou uc*)4m9jus velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's accelerationt:w x28l5rlq/n:rrz,h3 j tx twxt z r5 :rx t8,njth3:l/qr2l

  A soccer ball is kicked with a vsyca/v 4l8:j kc)i2sd r;fst*z a84khelocity 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 dsp saok p.*/1hp (y3cthe velocits (ho*a3skp/1 ycp.dp y vector,

  If the acceleration +.wgda:mp(l(hx6v ch3k:fycof an object is always directed perpendicular to its velocity( ya+ .dc cgxmlph:(v: 3kh6wf,

  At what angle should a 219ifikag66v lrw la)water-gun be aimed in order for the water to land with the greatest horizontal range )giv1 fklr9aa26iwl6?

  An Olympic athlete throws a javelin at four di2j :;q9whkvmhp qwpm ( v6*tt)fferent angles above the horizontal, each with t*2 qq: h) pmj kwh6m;tv(tvwp9he 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 bx 9my . y9q v:xl5/rtbvgh4qo-all leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) woubyt9v4 5 yrv9-o:xh l .qgqm/xld be

  A ball is thrown at an original speed of 8.0 m2 o ln3k3xh- da4pw*vz/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 rewil( 14z 0: bi2*cbwu,dl xyvkaches its maximum height, how does its speed compare to its init(bkw*i ld24uxy 01z cibwv:l,ial speed?

  A stone is thrown horuzxl-u5 /.ry gizontally from the top of a tower at the same instant a baluxry .5-gu/ lzl is dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same ijb(;om3 kq,4;exmn* cuftfl 9h-ow .knstant a second bullet is dropped from the same height. Ignore air resistance. Compare 9 j.lt;o*bx, m oq4 wfkkfc;h me-(u3nthe times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 160 m v- 5r:ugaj1lwc u60 bl n)d7ni/o5xsndrops a package.1lc7 /gx)0wun55 n6 on:uv s-rad ljib Two seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from u l/r-agf m3r 53tu)gkqx(4j k4xzb*9ep7afl a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packagesb3zaek7f5kj 4u lgq3ug9(lxr )* 4/m x-fp tra will

  A pilot drops a bomb from a plane flying horizontally at a constant s f7 qw jg)guw ovib.ml6zs/-7)pch v23peed. Neglecting air resistance, when the bomb hits the grouwlvj2bcvpf6mg 7hu7 iwq3os).z)/- g nd the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixt, ynyk5.rcm r2h of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you ,y.ym2 rr5cn kwould on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relativekwd:)z75oxnvg k8: e v to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car tv87xzvoe:)kw gd5n k :o the other car is

  You are trying to cross a river that flows due south with a strong current. ktyp) 8wkz6prr4r9dk a;y7 , fYou start out in your motorboat on the east bank desiring to reach the west bank directl rtf zak;y,96d r4kyr8pwpk7)y west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How mucbdg5+o bemyxg97 y. t.h time will it take you to move 12 km downstream, in a river flowing e .b.dyg b+ 9gom7ty5xat 6.0 km/h?

  Vector A has magnitude p9gzo6h40kfl 8.0 m at an angle of 30 degrees below the +x axis. The y c6zh9glkf4p 0o omponent of A is

  If a ball is thrown with a velocity olgf 7(mkjdw qefxc,v*:a;miy4)l2 +bf 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 directiovu -z)pr,jg7ir5a ol(n north of east and you end uzl7 orrgv5ap(i-,ju) p 2.0 km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velm;m+v v2, w6iqu gw-rlocity is 8.00 m/s. The angle between the direction of its motionvr,m 2w qvg lm-wu6;i+ and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level grou4at gl93 ygjqx3i.1 qwnd. At what angle is the Sun elevated above thei3lqgx 13qt w y4.9jag horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What srdo/d1 g5 ,*sfz(yovq x2u9d are the components of the sum of these two vectors?qd5s *r osxg /,f uo2vz(9ddy1

  Two vectors A and B have1lhtp 3x(t:ix components (0, 1) and (-1, 3), respectively. What is magnitude of the sum oi(lp :xxtht3 1f these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = An:4q4fv 6vlm cdssmf8y21d cy98:y ic + B . What is the magnitude of C ?s8idv 8 :y9 mc6n:yv412 q4cdsmlyfcf

  A car travels 20 km West, then s1bxcvo-t8y g fefy +4p ,u-3y20 km South. What is the magnitude of its displacem4 -ogcfey ypfu+-s1,t bv3 xy8ent?

  Three vectors, expressc 7a tim-js:o a79xf8ted 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, expressed4mzpo kds+;7 ea o81gf 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 mb 78b0g np*tkm w(*zk= (+3.0, -8.0), what is the magnitude of vector C = kn(0b7g m*mwk*pt 8bz A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the disf+ayr0w85yq : 8 wcrxeplacement of the joggery+recr w: 0f8wyxq 58a?

  Two forces are acting on a it/kr bgikljehe0:(ng;ius 7,6 32xvn object as shown in Fig. 3-1. What is the magnitude of the resultant f3i gteexr kg2/: 6li vn,h0suib;7(j korce?

  Two forces are acting onn0o7xk tcvijke5oh.(hk ;rt) *2nip 9 an object as shown in Fig. 3-1. What is the direction of the reo(vp 05x.kc i9treonih k 27j*n;t hk)sultant force?

Vector A is 5.5 cm lon(y: t;y0ovame g and points along the x axis. Vector B is 7.5 cm long and po(vmt:y;e yo0aints 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 and points kia. sxd+ h48)xec 3lyy55t xgat $30^{\circ}$ 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 frzf,u8p, d0brv om the edge of a cliff. A stop watch measures the stone's trajectory time from the top 0 8pfubz, ,rvdof the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontalfwk0 1-akx :* s;hf9sfm5vsdwly, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water bek-m5; safksfw1* hds w vx:f09low. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strx ;symfg + ll.9k:io4aikes the ground4lgf9ms lk+ .oyx;:ai after traveling horizontally 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/z2lvt 2qn57;nfwrq9n s at an angle offr;72z w t lqq92n5nvn $20^{\circ}$ 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 ah3egx(+ qx fxa-l 27ibn angle g(xxl7 eib2ah qf-3+xof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity ofxh/ bg8idnk+ kj1)q1y 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 i(/ha l7alr. v60.0 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 /bwq1 tu y 4nw9qfq gt;n(u0:f$30^{\circ}$ 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 of a building 55.j(e)twe+ m mb;wy77gr 0 mryg+mw); ebjt 77 we(m 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 groun7iqbjxp6 pa2j 3q 6dc1 uzul;1d level with an initial speed of 55.6 m/s at an 63z1d 6bpj2clq u;u1p jxqia7angle 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/sh2 b)a5dudjxvk .s8,s. If you ran the same race on a day whexvsu5djh.asd)b8,2 k n 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 North, and is in a wind of 50. 8+ .mk;sl3 nvz7rfgyv0 m/s to the West. The plane's s.ksymv87+lzrvgf n; 3peed relative to the ground is

  A plane is flying due 7:ry8fmsg .s6no7y k99 e9m hsllxa s)hh3:v oSouth ($270^{\circ}$) 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 z3sz-dfgaf.( 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 with speed g m1+o8slf7ar 50.0 m/s in a forward directio+m 7lgfroa81 sn $30.0^{\circ}$ 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 it 0l 57ppu (;fzvo7woas 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the rivev o0l (w7af5;ou tzpp7r?

  The driver of a motorboat that can move adjaw +5schdd8 .oep1,t 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. Hdhjp 1cea+d ,wo5 .d8sow long will it take to cross the river?

  The driver of a motorboat that can move at rst+qupl*x87 +vgn:d 10 m/s in still water wishes to travel directly acrgunvs 8 qp+dxt:7 rl*+oss a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly as.l w8i l:jyejy:3w- h4ol:jkcross a river 200 m wide reaches the opposite bank in 6 min l wyl8:h.-li o:jew3kjs4:jy 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wk j+j(x8* c/9somv l)kb ckt;yide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the current?skj+mklyj ; 9c */bkcxv() to8

A boat, whose speed g83nya bj5w rp8*m2r rin still water is 1.75 m/s, must aim upstream at an angle ofam3y*r52r8 gwrb np8j $26.3^{\circ}$ (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.