Which one of the followin0*/l8 plw8 jg3q(rv qjphrq1v g is an example of a vector quantity?

  Which of the followin37z c.n /x+ubi3suw wjg operations will not change a vector?

  Which of the following is an accurate s9*; 2nyxnkrlo ry lc*6q pw*,vtatement?

  The resultant of two vectors is the smallest when the angle between 6x az5w85rgjk them is

  Two displacement vectors ha 4.hsc/;q yagcve magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnituhc s/yc.q a;g4de of the sum

  Two vectors, of magnitudes 20 and 50, are added. Whk xxi4,g+dr5xp,p j kccz,l0uts80m /ich one of the following is a possible answersg8xt,kp zid lc rxj5m,p+0k/,4ux 0c for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in m2 gax-js7:3wg+xdc f,zsv 1 ydirections that arx 7 sf3s+2ac:zdgw gy xj-1,vme $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectogm.9 cv:1hfg iv4jtgh:0d w j(y s)i8mr is

  Ignoring air resistance, the horizontal component of a projectile's velocity)r ehr54 isdqac o;+k+

  A ball is thrown with a velocithd mer2l0sqwf- 4r /a6bpp-4+ mue ,uq ibij-9y of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantau mh-eb -64sl,qebri f0/pw2-piq 4 9urdm+j aneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal componenexjx 4k.f 25,30qftzi dw/rtdt of a projectile's accelerationfq4xt05d /zw2jtdf.er, i x3k

  A soccer ball is kicked with a velocity of 25msvd h1zi;yn9s n 4:)h 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 oft5czp8xfszaa61c jh3 tk53a )c 0hp)z an object is directed anti-parallel to the velocit)h5cah0zca)zat c1t8f3xp zjp 5sk36y vector,

  If the acceleration of an obl- b 3v4un5ocoject is always directed perpendicular to its velocity-5c oln 3uov4b,

  At what angle should a water-gun be aimed in order for the wadcy0ugjio 1nr /u0(q*ter to land with the greatest horizontal 0 /ujqigo1 u*d(ryn0 crange?

  An Olympic athlete th:us0 p2o u39td*n jprfrows a javelin at four different angles above the horizontal, each wit:dtpu3*s2p 9o rfj0unh 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 ball leaves youw m)a*(dbsp h-r hand with twice the velocity it had on your first throw, its horizontal range R (com hdsw*ma(b -)ppared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s a8qote 0gv ;h:ft 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 ip8v 8txvy5j7:0 s1vatpqf2gr6 f onf0 ts maximum height, how does its speed compare to its initial spee f68:apr12g 5y v8t ptvx fq0fjvnos07d?

  A stone is thrown horizontally from the top5ol76 m 4 ,qrf+1htosk3ft jnb of a tower at the same instant a ball is dropped vertically. Which object is trabfrt6j3l ht +o 5n74o1ksf,qm veling faster when it hits the level ground below?

  A bullet is fired horizontally, and at t o21wit49dbr k9qx7 .+ lridathe same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two1w9db 74k drxilq.+9taot 2i r bullets.

  A plane flying horizo r xf*2wfn:2 pwg;e:5 cpetbm:ntally 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 land on the groe xc*22m; wp5ef bg :t:frpw:nund?

  A package of supplies is dropped from a plane, and one vxs)5j*m-bdx second later a second package is dropped. Neglectingxjb)v x -5sm*d air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at w-/yspt l(m, na constant speed. Neglecting anpy (/ms-,tlwir resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on ftl(rn.j60tdf8 i s aq; qss8-i/d6p.)lezy oEarth. If you hit a baseball on the Moon with the same effort (and aypnf/s ; q(rqlad6zf8j lt)ti8ed.6 .- ois0st 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 roswm9u:v n.i3l a a75lhad and pass a car traveling at 45 mi/h. The relative velocity of your car to the other caahu5w: ln li7 mv39.sar is

  You are trying to cross a river that flows due south with a stron6ugslk:b 0tym d- z-0ng current. You start out in your motorboat on the east bank desiring to reach the west bank dire06m :g-kbl-ystdzu 0nctly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. f o13vmgwa4g;;k/v scHow much time will it take you to movgwvg;c;s 3 a 1k4/mofve 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrefh1rwby * vu r22s6tv-es below the +x axis. The y component of*2v-r 6yh2svb1 wutrf A is

  If a ball is thrown with a f(5 0o c71rcrzdi3pohvelocity 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 yot vtxo*,6 vcnpgx/-,j u end up 2.0 km north and se- co/t ,px6vvnt*,jx gveral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The yd0ig8 y x)hi7x component of its velocity is 8.00 m/s. The angle between the directix8i d7)0g yhyion of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long sha*jl2ac4 wro )(3:qu7/doflayuk 8w ardow over a level ground. At what angle is the Sun elevated above the)luwq8(7u*lcy4 roafd:w/k roj3aa2 horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), resptoky:yi5)x-t2s2ue nhf c ;xw/l-)3ee ww- acectively. What are the components of the sum of these two vector--klhwne;t)2ic w we euyoa:x5f c2t/x)s -3ys?

  Two vectors A and B have com+d: fr(trzy-qr 36w xc*m zk:aponents (0, 1) and (-1, 3), respectively. What is magnitude of the ry+w x6q-f:r( :rzczd m3*atk sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). k06ag* tcucdo/ nu r,d.l2*xpVector C = A + B . What is the magnitude .r0ul dc*pd2ka*/gxo,c u6 n tof C ?

  A car travels 20 km West, then 20 km1z fbx ,0nlii2 South. What is the magnitude of its displacement?z 2 i0xbnil,f1

  Three vectors, expressed in -cbva6ouo3r) lw z-:eCartesian 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 Cartesian coordinates, a0qe ujy c,(o(ji.j.uteppmyzi b174,re
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 1pfdipm/m9 5y = (+3.0, -8.0), what is the magnitude of vector C = 5mm d fy9p1/ipA - B ?

  A runner runs halfway around a circular path of radius 10 m. +o5yc ); zwiaw(ht2sc ( 98qwaz9j czz What is the displacement of the jogg y(zt;waa8( q) c cho+ij9s 9cw2zzwz5er?

  Two forces are acting on an objepko xxjo60 m6 :xr.14pkpd c+q9bfhz7ct as shown in Fig. 3-1. What is the magnitude of the resultant1p 90b7zpp+rkq k:jxmx h.fd4cxoo 66 force?

  Two forces are acting on an object as shgfjie,c;ait - pod40o4jg8 *oown in Fig. 3-1. What is the direction of the resulta egof ,aji8poc o*it4 ;-j04dgnt force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.xwxb89 0yz iig ve0y045 cm long and points at +304viyg98 0y 0bez wxix0e 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 po .5f iwo8bl/e5ya 5-tpy5 rlooints 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 o k 2(ycnsq.x/ds3ea o;f 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 sn/ kc3( eso2dqa.;yx the cliff?

  A girl throws a rock horizontally, with aiv- l6ev-f pi( velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontallyfi6v-pvl(-i e before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strilt0xbz.: tlb.q 07yir kes the ground txqlbtl:z.ybi r7 0. 0after 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 d;8 jlqejp 6frvwk- 41m/s at an angle of r f w4vp qj;d-ej6kl18$20^{\circ}$ 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 xy+ *amjk/kg9(so3bu- b * eitm/s at an angle *3xie*bk jb(tsa gomu y9+/ k-of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an angle ofi ji/pc-g7 cs/cj)jg) $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial v vv211 fcg38-dt ryviwelocity of 60.0 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 o,/ xu-k jw3nf(qw.v1pstyi +f 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 buildingdmil6 2 f*o it;*da6jd 55.0 m aftl;6jo62d *ddm*i itall.
(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 anakni n73uq jz8zzm30 3 initial speed of 55.6 m/s at an angq07kizzznm3 n aj 3u83le 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 wpm+)f k d.037dnjjztjk8+ftvelocity of 4.0 m/s. If you ran the same 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 b3t.08tw z f7pjfkjn )ddk+m +je

  A plane has an air speed of 200 m/s du:b1 .1;eeft5,wv -n y3m hj8dc /lcpndkvg5w ue North, and is in a wind of 50.0 m/s to the West. The plane's speed relativew:81bp ;/ .um,fg3w tn n55kcc dljeh1 dy-vve to the ground is

  A plane is flying due South (s v6zij a+z 24h4p(8 wsqmvd6s$270^{\circ}$) 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 xl.7xjja3bf ua3 . d5fof 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 movinmi;v06pz/9 aci o ;ulwg 200 m/s horizontally fires a projectile with speed 50.0 m/s v/ 69wiclim;0u a ;pozin a forward 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 uj1 r/,lwcg(xx jv/lnv5 3o9w a river with a current of 6.0 m/s. What is the sw u/ jrjgnwvxo/l5,93v1x( clpeed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in stilxzhr o0bg9( 6ql water wishes to travel directly across a river 1.6 km wide in which the current flowr06z9gxbqo(h s 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 wishes to tr03mbnd 1z7 1sn 4jr .gxq,rtaravel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstreajzx. r4gm710ratn3sqnrd ,1 bm should the driver head the boat?

  A swimmer heading directly across a rive:9vjizc6g th .r 200 m wide reaches the opposite bank injv h.gtz :9c6i 6 min 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 wide reaches t(2dx m7rcba8cws-e,fxmx: )whe opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the spc-xba d s,8wc we7:m 2m(rx)fxeed of the current?

A boat, whose speed in still water is 1.75 m/s, mxvw t /2aocv.i9i10qpust aim upstream at an angle of 0t/.v x9 2cpaoi1 ivwq$26.3^{\circ}$ (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.