Which one of the following is an examplwez4x+,b t+ cle of a vector quantity?

  Which of the following operations will not ch15mle33ik9fv1nh.nvz*zr m yange a vector?

  Which of the following is an accurate statementoal yu6r d739m?

  The resultant of two vectors is the smallest when the angle betwea8 s s;wen.7tben them is

  Two displacement vectors have magnitu(t cg dwn5 t3vr/7xcs0des of 5.0 m and 7.0 m, respectively. When these tdcwc5/s t t70xvn g(r3wo vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the following as(hu)n9bxy )is a possible answer for the magnitude of the resabunshy)( )9xultant?

  Three forces, each having a magnitude of 30lh;./ug)tky. ,nn .k j 3scgsf90trzm N, pull on an object in directions that s,3g);s.rhjm 9/tyk.ugk .nf cnz tl 0are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector i3d hkh,wgwv h .vx6a m-06jjd+0p/ppns

  Ignoring air resistance, the hordhwzh07e9 - ccizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above thfyzkou 7 1i/xjf8eu-4 e horizontal. What is the horizontal component of its instantaneous velocity at e y7f41z8ui/k fx-uojthe exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile'zz*omh6*/aacg-i 98gn 51 3tgbxerfb s acceleration3zm68 g 5*ahn gez/bacirfg-xob9*1 t

  A soccer ball is kicked with a velocity-57fw8wir+ kw q w/xfe 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 8tel .*0 oa4 am wi3ea2uzhi .q2md-hlto the velocity vector,lqt2 0eaaw38ohl2ha* 4imd-i.z.um e

  If the acceleration of an object is always directed perpso+ t2 o(i8vknendicular to its velocit2 8iko(ots nv+y,

  At what angle should a water-gun be aimed in order foveq4+b x-;g1x 3oedy nofx17 rr the water to land with the gr+d-1foex 1bv7g ox;rqn3ye 4 xeatest horizontal range?

  An Olympic athlete throws a javelin at foulmlc*n -;zo. or different angles above the horizontal, eanzl;co- m.o l*ch 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. iw7n ;taz)n/j *eq2k dIf the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R*a )wne;k /qztnj 2d7i (compared to your first serve) would be

  A ball is thrown at an origx3dp9ctchd 81 qs7dx1inal 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 heig 0m68fkvjcji 6d95vvxht, how does its speed compare606jm5v divcxf k9jv8 to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instan2 5xh)/izad,efjkb. jt a ball is dropped vertically. Which object is traveling faster when it hits the level ground bk)/5 2aij z,fdhj.x beelow?

  A bullet is fired horizontally, ancy2p)w- ;rn9 dypfq;ujrg 4c; d at the same instant a second bullet is dropped from the same height. Ignore air resistanceyr;2p )p;jg-w4c9; qncyrf ud. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation oc h3xxoc-ft 1mus- );of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages l )f1m-t;hcx3u-o csox and on the ground?

  A package of supplies is drot5y oru,rr /+dpped from a plane, and one second later a second package is dropped. Neglecting air resisur,rt5yrd /+o tance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying hori q.y*;:z wcjwczontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of thq wzcj*cw.y ;:e plane will

  The acceleration of r:hfzwj 2,s(8yxe9n dgravity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the samexw( yj rs,e 89f2hnd:z 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 straigh-+q3wxm8tce tt, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other car is t3cqtmw8-e+x

  You are trying to cross a river that flows due d 7li;t v8t 0xji2//r:o hzrixsouth with a strong current. You start out in your motorboat on the east bank desi8dxz ttii;:0vx/h riljr 2o /7ring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30.ckm y)dm7xff kkg6) / km/h in still water. How much time will it take you to move 6m .kykdf)xg c)7/kfm12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees bhhzxtet (nu0de1ao 7l0 *h2 a;elow the +x axis. The y component 10e; h0xhznd2* tah (l eauo7tof A is

  If a ball is thrown with a v.bd9+ua4;pouczoyvww; r5cdkd+( +m elocity 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 of east and you enz;12 ubgk3: s3 zgjcrsd up 2.0 km north and several kilometers east. How manzbku 3jc;s:z1s32 rgg y degrees north of east have you walked?

  A butterfly moves with a af*(j3bx1jal speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axia31 lb*a(fj jxs must be

  A 400-m tall tower casts a 600-m long shadow over a4lqpb9u3d ucbhz 6-83wouhb4 level ground. At what angle is the Sun elevated above the hbh6lwh 3u89dzqc 3bpuub4 o -4orizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What ap-gb(,sate pl z)n;0 dre the compon)dbgl s -,azte(pn;0p ents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. y h +:0wqc/-ogxeaae*What is magnitude of the +y:hqw xg0e a/-*aeoc sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What it /g,n u,c8qjts the magnitude/8jtug,q tn,c of C ?

  A car travels 20 km West, then 20 km Sou)wd**am- pu/f1 ezv vuth. What is the magnitude of its displacemenz ev/1a*uu w-)v* dpmft?

  Three vectors, expressed in Cartesian c1n e n-v7xshn9oordinates, 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 Carte6x- fij*yac 9isian 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 = (+jeva3;d(3pbvh r y v5(3.0, -8.0), what is the magnitude of vector C 3vvj3b y(rd(v ep5h a;= A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the dispx migx(rqj+ )7lacement of7gq+ jmx)i(rx the jogger?

  Two forces are acting on an object as shown i vngx,4 op;ma*n Fig. 3-1. What is the magnitude of the resulta*mg ,aox4v ;npnt force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the d kur9tp31*chz pv(z0i -z,lrd irection of the resultant forck,1p-0r hti(lp cz r9zudz*v3e?

Vector A is 5.5 cm long and poiren3x8 xbsy55ag8 vjt7 u+wn/nts along the x axis. Vector B is 7.5 cm long and points at +30a tx8g w8n5jubse rvxn/y57 3+e 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 pointst t,)(d9dbx1j 57vfi-ktpr y e 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 wi4 g+)f-mbwn 7za 3s0zp eg7zey6w5fauth an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory tif5z )a gwzeafpswg4 7ue-bmzn607 y +3me 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, ufce z44rtld3di4*bw n3)s c7from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally befoed44c3 fd3) 4s7t i wbrlc*znure striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes tat hcv4xi(xed n/ddb;p1r+ /q3u (, qehe ground after travelin d+i d/;c/rd(3px(q,q4tnb 1xuehaveg horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spee- mweo;7jlp+x0dbki0 d of 12 m/s at an angle wx 00 ;7pl mk-+bjdeoiof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes in,s gd(/9fhl pnto the jump with a speed of 12 m/s at an angle of 9pf/gd(hl,s n$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.c-6ye j)m :8u dt.axsb0pzzz ite,u6b*+,wid0 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 ok)ej /ka x5ti6f $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an moaie fs4y*lp22+ox z*q j.p(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 23qnx t(k lf*lt26f::ho.4 m/s from the roof of a building 55.0 m tallto :l:ht* q6fkxnl (2f.
(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.k3:6a)ieqo-w cbp q.u6 m/s at an angle of q .up a3iceo)qw-b6k:$41.2^{\circ}$ 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/s. I4j(o z6w c7y,ejt3r7ms4hvp n f you ran the sap7 s 7vjrc6jhwt,me3o4nzy4( me 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 swb5-)huvow+/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to t swv)-wbuo 5+hhe ground is

  A plane is flying due Sout;i)u5 pz l *d.mj;mahvh ($270^{\circ}$) 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 is headed +zlojc89u ug7 lrt6(s/b8yfc bbr*7e$30.0^{\circ}$ 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 ;.woa lcva9mx(s 58n bm/s horizontally fires a projectile with speed 50.0 m/s in a forl8s9 o 5xbvc;.wa( namward 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 b1gki9 hvx4 .ain still water is 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 thv419 axg h.ibke river?

  The driver of a motorboat that c h 6( za/gbl++im(zgydan move at 10 m/s in still water wishes to travel ymb z(+ gi6/ld+z (hagdirectly 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 mocm b1)4x *jxw/0 ravenve at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head 1jxm/ec 0rvw *x ba4)nthe boat?

  A swimmer heading directly across aps1v2(e gg++ crajlb/ river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Howag+ r 1(svj +pc/2elgb fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the oppositqhl 9+pi7u5r ee bank in 6 min 40 s. She is swept downstream 48lq5h u 9rie+7p0 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 ia q-0mw(t(rkoy zzx*l l3./ps-et-a angle of -oek wyt0(q3i m(z.lltxr /za*sp-a- $26.3^{\circ}$ (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.