Which one of the following is an example okas+n41c hq 1af a vector quantity?

  Which of the following operations will not changef. k64sh yu 7i-kqm/u (ovsa :nx-jzn0 a vector?

  Which of the following is an accu 0/reojpl4ok04rem zkj 9*;cmrate statement?

  The resultant of two vectors is the smallest when7m 5uxj6u1 idl the angle between them is

  Two displacement vectors have magnitudes of 5.0 m a5p4+-(j dywzp(tia6r qp0ftand 7.0 m, respectively. When these two vectors are added, the ztrtja pp4w60d 5yf+-q pa((imagnitude of the sum

  Two vectors, of magnit*dz,v ikps *8budes 20 and 50, are added. Which one of the following is a possible answer for the magnitudesz*vk*, pbi8d of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in dire gd vvmc,scw:i (a- dc21,q tfrfe,z7)ctions that are am ,)zc fcg,evidt( fv2sq-dc:rw17 ,$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknm8ux6 ,;snupqsgg f). ajas (j/8,jy rown vector is

  Ignoring air resistance, the horizontal component of a projectile'swr3biymxth+5 -9e ..tq keez)-th* y o velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e c-epc)yxeb 5r(5(lve akh1 *q above the horizontal. What is the horizontal component of its instanta ev1p*lbc5a5x()( yhece- krqneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the hori iippd30i x6b,zontal component of a projectile's acceleration i dxp,b06pii3

  A soccer ball is kicked with a velocity a7;.as4 r eetld+f.sg u kot96of 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 adbx (iuci4ln5 s ((p8jn object is directed anti-parallel to the velocity vectopbs (cdn8i i5jux(( l4r,

  If the acceleration of an object is always directm3fa)5 oqk* hked perpendicular to its velocity5m3fh qokk a)*,

  At what angle should a water-gun be aimed in order for the water to land wi(sm o f9)wz.dj7eu ki6th the greatest h i)6uwkm7fjed9 oz s(.orizontal range?

  An Olympic athlete throws a javelin at four differi2a:b ; ioe* qrp9olhuqc5f, .ent angles above the horizontal, each with the same speed: 5c9 lo.,2iqpu*:a qhire fo;b$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 ball leaves your hand 45 s/ zb ),zj*nu; lwjg33rbbvd o*yrjwith twice the velocity i 3* ;3vy rjz 4lo)dsbj/nbw, jurzgb*5t had on your first throw, its horizontal 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 o/1qjp7dmz:1 n jhn 4 obzk.k)ff $35^{\circ}$ 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 maximuo(p:x 6vcs9qca)ozhyw ,*mm /c urvak3s 576xm height, how does its speed compare to its7sm3vp9cz x6*o mvcc ( xkqs:)u r/a,yo5ahw6 initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant l q7e2f 44jvhwa ball is dropped vertically. Which object is traveling faster when it hits the level ground below7qewjh42lvf 4?

  A bullet is fired horizontally, and at the same instant a -iruqf7v*is fv 4e 6*wsecond bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bullets.6*4w7ves-v q f*if riu

  A plane flying horizx ;th-0af( zq)nwxl3i ontally at a speed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages l0 ;tqaz-ix3 wx)ln (fhand on the ground?

  A package of supplies is dropped from a plans7jl m lyme y*3(7a(gfe, and one second later a second package is dropped. Negll7 mmle*((y jf3sa7gyecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant4b f ycf i2;m,dj97ofx9atfjys u.x(8 speed. Neglecting air resistance, when the bomb hits the ground the is84d, yfjf (x2btfxja;y.um9oc 97fhorizontal location of the plane will

  The acceleration of gravv6bak 5j22jl 1bpmc 7xity on the Moon 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 angle) that you would on 7blxv2c j 6p15bm 2akjEarth, the ball would land

  You are traveling at 55 mi/h in the +x alk7w*kbt(hxc i36,ws z+( duzxis relative to a straight, level road and pass a car trave6 zzwhkd wu3kbs(t7 i+x* ,lc(ling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows duqwfqrs, 7hw;0o++cbk e south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank di+h07wqw,+oqbs kc; rfrectly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/dpi a-l;d, pg4h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/h-4pa l;gdpdi, ?

  Vector A has magnitude 8.0 m a5:(f7r:vf9y3 dvjes ta/bhq vt an angle of 30 degrees below the +x axis. The y compjq5 v7vs tybfveh(df : 3ra9:/onent of A is

  If a ball is thrown with a velocity of 25 m/s at an angle of zqdsb3b+h0zr )5xqygwm/b7s f9 /r7z$37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight lineu)5aq 5lpdy*u in a direction north of east and you end up 2.0 km *)ulu pdq5y5anorth and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 -,u8zfpv c qa:m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis musp qfz-a,8vuc:t be

  A 400-m tall tower casts a 600-m lonp7 mh-2a zz1zfepq)e(g shadow over a level ground. At what angle is the-qe)z1 ep7(mzh2z pfa Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 9zdq v*xh c;x/3), respectively. What are the components of th xzc*d;h xqv9/e sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whr z4eyk7v 7y)nt-d guzw;4zx*at isdz4z;rzu*g )y7v 4-ktxw7n ey magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What a++gcds rpz5*kwkka.m 3k+;a is the magnitude of *5;kkz+aaprkm+ cg.w d3 a+skC ?

  A car travels 20 km West, then 42yst42/hgbuhsjd r ;20 km South. What is the magnitude of its displacemj;24ty hhu/gss 2b 4rdent?

  Three vectors, expressed in Cartesia mx /e 0r5h*uaa5ej:ivn 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 Car es/ aw(25:q2fr/vybpx*k3 3ekl citetesian 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 magnituu8 * 2g l ivdzhh,.(7knd4pyaode ofl,h 2 (.n zv h7ypaui*g4d8dko vector C = A - B ?

  A runner runs halfway ar-ob3hea hfv,;,( ym85x ogtmcound a circular path of radius 10 m. What is the displacement of the jog otb;v m h(am, o538heg-cx,fyger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnitude o;sdw ( 1sq 0kl*l/nms-kz+y uaf the resultant s(+-0dkqyaw*l usnzl;k /1smforce?

  Two forces are acting on an object 2h7 h8i 9a*qs az:hcryas shown in Fig. 3-1. What is the direction *: caahis8q9 h rz7hy2of the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vectoi w+dom enwgb;8 z m+gyt1n*1)r B is 7.5 cm long and points at +30e to the negative x a1t)in8z+w+g w bmd ;gyo 1*nmexis.
(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 poiomu0d ilz(x97 nts 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 an3p:o13ufnor4*xat o:j u* ,ba mjt rt: initial speed of 10 m/s from the edge of a 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 x4njoutmpt*ra3j o:,tb3 : r1ua*of : cliff?

  A girl throws a rock horizontally, with a veq1bctwifi (a+x*645 r 1, /no zmdiyfjlocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before stiwr54 6/ 1+mfzi*xt 1qcidnfba(yj,oriking the water?

  A ball thrown horizontally from a point 24 m above k8:wsy7*nr40( (ewfrj2dlbd0a j jh c the ground, strikes the ground after traveling horizontally a distance of 18 m. With w(*r:wry 8hns(0 w72kfd jedj j04ac blhat speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at a9 ukg*9ene k/u bww6,e pu(+y(j0zjbmn angle of g, * 09 wukez(enpwm9k6/ bej buy+(uj$20^{\circ}$ 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 angle +)w m-hdpd :fq ,((ddlbztp1wof)w-w: +h q(1pdf tmddz(blp,d $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity rz+e9kqg /un15h u+ y u8o)awaof 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 me::xpp6f oa d k2xx1s-/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 ofhs;ac 6 .s 9emorne66d $30^{\circ}$ 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 hv.rwm j xuj:(0orizontally at 23.4 m/s from the roof of a building 55.0 m tax j. :(uv0rmwjll.
(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 6bui p/q8qmjc+/2 cmx initial speed of 55.6 m/s at an angle of+cc xiu / qb28mqpj/m6 $41.2^{\circ}$ 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 xw(4l r0-ou giin4*ib59vzwdmj2xq , can 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 a constant headwind which slows your spjgxi *- vod4i9(uw20lqr4 iw bz5 xnm,eed 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, ah (/3yya u ./awke*nxond is in a wind of 50.0 m/s to the West. The pla .(ay*x//nea o uwy3khne's speed relative to the ground is

  A plane is flying due Soupo.l 4)a kth6 wlvuz32th ($270^{\circ}$) 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 ofum+ x.oy ;;(o *xljove 120 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 projectile with speed 50.d f ykr454jpj8zy5dv;f; ik v30 m/s in a forward direk y dy58j4 ivf45;jv zk;fprd3ction $30.0^{\circ}$ 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 with a(p s527-wd6kc jyx ixe/w d;ji current of 6.0 m/s. What is the spe2 idk7 w-eiyj6x ;pswcd5j x/(ed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in stqrkyj lwb (akb2/s(,*ill water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long jsa2,yqr/(bb kwkl*( will it take to cross the river?

  The driver of a motorboat tkyeaq(/5dl/ j9w z r4yhat can move at 10 m/s in still water wishes to travel directl/lre9wdz y4( y aqj/k5y across 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 across a river 200 m wide ; qnju (zvwbh -uyy:)(reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fayyv)uu ;(:n-qjh zbw(st can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches bdtv5 w9../ e:kflfc/flx i7p(qb8f fthe opposite bank in 6 bwk8ldf9i/p5f(:t/.f f cl qbf 7vx. emin 40 s. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream*+1q0 vh-nqufh.etsq :.i 2fg w m+mua at an angle ofhnqa-g20se *+hu1q.+.:uvf mtiqf mw $26.3^{\circ}$ (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.