Which one of the follok*m1,4nwlbnh wing is an example of a vector quantity?

  Which of the following operations will not change a vn:le r 4 :xblwj;n+p m),n)mosector?

  Which of the following is an accurakwou1 fzh6u)mdg*f, i p*k.z9te statement?

  The resultant of two vectors is the sxw(8 ui38gvys:odj ukm; s(26lug gp+mallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m ando(+yxq3* wa xoek k*-3mcimf:;is hc4 7.0 m, respectively. When these two vectors are added, the mag*ikmxf *(oqohcws-3yxe k :+3ic;am4 nitude of the sum

  Two vectors, of magnitudes 20 and 50, are ac ssfa-2wa/he /xhv1; dded. Which one of the following is a possible ansx/vc 1;es /2aha-hw fswer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N.gp . 6hpqb(qgkwc;l5 , pull on an object in directions that arpqh b.g pwl5q6k. (g;ce $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the ua+vpsyuo /, /;tk:p zfnknown vector is

  Ignoring air resistance, the horizontal component of a projectile's veloci 22th-5bix:) uvozkb2 x(kvpo ty

  A ball is thrown with a velocity of 20 m/s at an angle of;p6 ,id0f b4dp.e 4b5lbcgayn 60e above the horizontal. What is the horizontal component of its instantaneous veloc4pc;ledipg0,4b. bnda 5 yb6fity at the exact top of its trajectory?

  Ignoring air resistance(l1kac vy*t:j, the horizontal component of a projectile's accelerationc( k*:1tyl jva

  A soccer ball is kicked with lae 2t k (ac+:*cy)yxaa velocity 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+c(5,h yf fgtr directed anti-parallel to the velocit+g (rftfc 5h,yy vector,

  If the acceleration of an object is always directed perpendicular to its velocbp s)w vyfu8v(2l1t0pity,lvy 0)1spfptbu8wv 2(

  At what angle should a water-gun be aimed in order for the water to land with wa77b.n(/(i ;+i u atjjreb qsthe greatest bn(jqau7;/ (t7ji r+iabwes.horizontal range?

  An Olympic athlete throws a javelin at four diffe) x zmbcnal/g)8ryu(: rent angles above the horizontal, each wxb :mz8 yrnu)ag()l c/ith 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. If7- pbnigwkn 9, the ball leaves your hand with twice the velocity it had on your first throw, its horizontal7b i pnw,g-nk9 range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8p3nyr/pc.jhjp( m..in oy 2e6.0 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 height, ho/ m3.,v nuicdm.qw h7bw does its speed compare to its cqmuv7..dnbihmw/ ,3 initial speed?

  A stone is thrown horizontally from thljo l l5wb3-b.dwp; 6ie top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the l6bi- wl3;jw b5. lpdloevel ground below?

  A bullet is fired horizontalfm34,jc mpp :hxe3eod*yc:n 1ly, and at the same instant a second bullet is dropped from the same height. Ignore airm:o1my xc,34dfep: c*npe j3h resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed o)h6l n -gdlg(tss jk(5f 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a seco6d5l -hs )gjn (kgstl(nd package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a zjl w; ;ug9-2fszlfib4b/ h j(second package is dropped. Neglecting air resistance, the distance between the fal9lzsf gw2 ; /z4jhufl (;bjib-ling packages will

  A pilot drops a bomb from a plane 4 5nrjvd2(b1sh / y9tq n+gpypflying horizontally at a constant speed. Neglecting air resistance, when the bomb hits th bnyhj5 p9/tsy24 ( gr1vdnpq+e ground the horizontal location of the plane will

  The acceleration of gravity on )c(oax s+kwezy3)y4k *po/d*exurk6 the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (a4 u cwy)x *resek*kzak3oo( /xyd) p6+nd 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- kj1sur, pxy(th 5si* to a straight, level road and pass auj1,y*-h5pss i( ktx r car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a riverf8ef /:rsg .mc that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboatfef rm8g s:/c.

  Your motorboat can move at 30 km/h in+96pw,hgy2 qpuuvo :t still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0t wgu :y2ho+v9,u pqp6 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreesyhe4) m2y7fx b below the +x axis. The y component of A ym27x4e yfb)h is

  If a ball is thrown with a vdp 92o0( drrxu1ckd;n zvae* +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/0g7/ r2hdb n cmugfy.7zfbr* direction north of east and you end up 2.0 km north and s.* yn/dfr2b zumcfgh 07rg7b/everal kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x componeoyz-0fl * gvkr9 b;k3gnt of its velocity is 8.00 m/s. The angle between the direction of its motion and the ozk3;90 v- rfglybg k*x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level gfa74g)0 rm85,p-p pnkqadd uj round. At what angle is the Sun elevated above the hori j0)fnp dq -k7,rum8ada4g p5pzon?

  Two vectors A and B have components (0, 1) and (-1, 3), rerndl;v,+ 2ujxd9;yfyoi) 6 wlspectively. What are the componef ld6vwuy2no lj; y;)x r+9,idnts of the sum of these two vectors?

  Two vectors A and B haxef48 6c,uvd guw3 g4hve components (0, 1) and (-1, 3), respectively. What is magnitude of the sh6 vf xgwud4u 4ce3g,8um of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vo8+j+t;kqj u ;ncz h(eector C = A + B . What is the magnitude czeqhj (onk8;u+t+;j of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude o;/1dc ,)6ym qepnop xsf its displaceme; 6pd so1/pyemcx) ,qnnt?

  Three vectors, expressed in Cartesian coordi*.- x3gqh nu9ycz -pmywoicm z5h9;a0nates, 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 coordinnsst l aj ; :dci,n-mt(67m2kzates, 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 theq 1d5o/y5*zatwtys 4 ;q+he .x4mxqmh magnitude of vechesx/qmo yz yt;d m 5 h14q.a4qxw5+t*tor C = A - B ?

  A runner runs halfway around a circular path8 p8gjm3z2h9kvupbw enybs+u*e( a+ 4 of radius 10 m. What is the displacement of the joggerhw2zg4*ekbyn8sbpue 3v p8a9(j m ++u?

  Two forces are acting on an object as shown in Fzxw9cug /3)id zxc +le c5+wd2ig. 3-1. What is the magnitude of the resultantzxduw dgi cex zl+/9 c5)3wc+2 force?

  Two forces are acting on an object as showu1h( tm2imszqp1 w;i1n in Fig. 3-1. What is the direction of the resultant f1i11m;sm p2t q( uwhziorce?

Vector A is 5.5 cm lon,1r0bypbhciw:jt .ncd2. 5l1,xup xc g and points along the x axis. Vector B is 7.5 cm long and pointct,y1x 21h,niuc :5bcd..wprb xjlp 0s 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 *k2dcoz/v* w kc -l;mkdkw)3r 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 in,kwte5m+fob m9;l;oa am(h w0 itial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from thetkea l+o,mw5 mah0(;bfom;w 9 top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rockf v(: d1if)1awihis) r horizontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally beforr:i (s 1)fidfw1 vaih)e striking the water?

  A ball thrown horizontally from tcsikb + -2/+1cz leapa point 24 m above the ground, strikes the ground after t-k bal+i+2se z1p/cctraveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into th)xpd83m;gf o q3 b zxt,.fugttgbnwi4p1 (75be jump with a speed of 12 m/s at an angle of i p dg,t g4x btbxn;(tpg378wq1f5u3).fbzom$20^{\circ}$ 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 speedo pubf8vbs 7p.)t-z1a of 12 m/s at an angle obo)avb.z pft8up17- s f $20^{\circ}$ 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 ofsa2z ox1tlpi 6gc jbd3.p, c)yc 54w0d $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s at an angle o 5 l:f* j60rejv8fpgr tmeh )pm6su-b0f $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angl/mv 9lpyf,lo ,e 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 horizov lvpt8;+( dstntally at 23.4 m/s from the roof of a building 55.0 m t(vdltsv+ t ;8pall.
(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 agdq: gbpv.hvxczkn5 0* y+r- ;n initial speed of 55.6 m/s at an ang nrxdk p;y0v ghq5gc+*z.vb :-le 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 wingixto8eez q333:j q8 kd), you 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 speed by 2.0 m/s, the time it would take you to finish would bek i3e3t8 jg8qz 3q:oxe

  A plane has an air speed of 200 m/s due North, hd. rbjc:7nnln-5) 8rgkggi7and is in a wind of 50.0 m/s to the West. The plane's speed relative to th rr- gckigh58nnjgl:. ) 7bnd7e ground is

  A plane is flying due Sgvu; 2kt;iyf w9:7 orogq7z(d outh ($270^{\circ}$) 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 headl* qt jsrv3 3+on ncbq9m*v ikwnj8wiu( -q4/:ed $30.0^{\circ}$ 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 firovqq js+ u19x2 .yiw:xes a projectile with speed 50.0 m/s in x w12qsiu oyqj:.x+v9a 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 zh75iav 0chcgv(p7n 4water is 8.0 m/s, is directed across a river with a current of 6.04zv hgc(57nv07c hp ai m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move atfwi0p0)t bh/1 -jjfk.ezr - jw 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the curre-e j/z0)0fwjkt- f h p.r1wbjint flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboasnfy8 e5;2w lwt that can move 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 852lenyws; wf should the driver head the boat?

  A swimmer heading directly across a river 200 m wide ;s9i ;fzf/gwl reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast cag 9s; fzliwf;/n she swim in still water?

  A swimmer heading directly across a river 200 m wide ream6g/por v bue+3kv55k ches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of th5v3 ko6m/ ve+5 rgkbpue current?

A boat, whose speed in still water is 1.75 m/s, must aim c vowh,7z :q:oeu )nqmcqz..hc2 * n:yupstream at an angle ofe)oqz 72n.,h. m cn:couvc h*z:yqw:q $26.3^{\circ}$ (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.