Which one of the followinoypilmh (l; ht2 ;h:d3g is an example of a vector quantity?

  Which of the following operations will not change a v- pl8d f1sgoj;ector?

  Which of the following is an acc3tx1 5trbv k62java2g urate statement?

  The resultant of two vectors is the smallest wa-* -hvsptt(bhen the angle between them is

  Two displacement vectors have magnitudes of 5.0 m a8x0se,p ovbelet5 t;7nd 7.0 m, respectively. When these two vectors are added, the magnitude stx7v ,o;80e tbep5el of the sum

  Two vectors, of magni;/uq0q/w c;cded6c gytudes 20 and 50, are added. Which one of the following is a possible answer for thedce; d;ucwqy/cq 06/ g magnitude of the resultant?

  Three forces, each having a magnitude of 3 7u4q47fendp7r 2e+zr tul938 yygr; * uupgvi0 N, pull on an object in directions thavz2y34eu i +;upgr7*lpgernu4qr 78td u9 7yft are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector i8y55e8duy cfr(i ; gphs

  Ignoring air resistance,6wly6o*;df8/ wfye/ms iu,p d the horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at -k3i5i goa i0oan angle of 60e above the horizontal. 5 0 iio3o-kgaiWhat is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the hori q,m1 . b8swbn zbq-r4l+eojw/zontal component of a projectile's acceleration+-1j/mbzeqw so.,lb q4bw8nr

  A soccer ball is kicked with a ver*rq3xr2qg zje2.q j(ha9(9g 5ppub llocity 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 ofq*lo)mo+o o0s/r 3gwv4zo l u, an object is directed anti-parallel to the velocity ve,4s)*l/ zw0m vqlro+ o3oguooctor,

  If the acceleration of an object is always directed perpendicular t ypypx9:27 wcio its velocity,p2wy x9:p7yci

  At what angle should a water-gun*fpdka4m1 44 -yxvqnt be aimed in order for the water to land with the grea 4*4f xvd kn1ypaq-m4ttest horizontal range?

  An Olympic athlete throws a javofeerga9m7t, 3 -osuou co/-4elin at four different angles above the horizontal, each with the sa--oo oou3esmt/,guafe4 79crme 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 lep2yg8s4 )pz6 -ngan rgaves your hand with twice the velocity it had on your first throw, its horizonta p-yzrp6ag8gn)24 nsgl range R (compared to your first serve) would be

  A ball is thrown at an orig , b 9u i3l:m(iarn)4ovea:gx6g gv4sxinal 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 height, how does 8 u 0gx1)pmy0ojv)cbe its speed compare to its imgx0puec)bj8 y0)1 ovnitial speed?

  A stone is thrown horizontally p65u ,kt)j9oqs fqwu7 from the top of a tower at the same instant a ball is dropped vertic s,7ququ 9fj56k)tpwo ally. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is drh2mt nr )9tjs9opped from the same height. I2)thsrm9j9n t gnore air resistance. 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 of 16o t4wfs-m8irkb6l) b.l)y h1z0 m drops a package. Two secony) -fotib4km.lzhrb8l6 )w1s ds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, a;d.2 pw 586awrl:z szarq g,avnd one second later a second package is dropped. Neglecting air resistance, the distance between the fala:rw5vw ,p6sgd rq8a. 2l;zzaling packages will

  A pilot drops a bomb from a plane flying hnpfv8qn; x 04+ad c ilt;f1cs5orizontally at a constant speed. Neglecting qfac+c; 1t5xvl0ni 4 fp8dn;s air resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity lz ;2e1-9vo 9 qtqoacron the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (e qr2 va;-9qzclt19ooand 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 straigg6qj 2+s , rj6un/cnr/blpekd 3xm mu-4)yuj(ht, level road and pass a car traveli+k6g/nucj mle /yp,2us -4jrum)b6(rxj 3nqdng at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a s(jx j.cyv 1hgo 6s+t)ktrong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You sy xjv1hs j gt(+)6.ockhould head your motorboat

  Your motorboat can move at 30 km/h in still water. How much tif i5.m.b4wk *gkr 4pn m1ghdt3oa6)itme will it take you to m4ii 6kab1ngwrt5k.mdh topm gf.4 *)3 ove 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrecso u05b,rx r:es below the +x axis. The y component o cxu,50orrs:b f A is

  If a ball is thrown with0*rq0whv8n;n6d ) 5i6 vdlgivv r fy8q a velocity 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 ofi-pp gf:6odz b .la6f1 east and you end up 2.0 km north and several kilometers east. How m:pdo6 zpiga16bl f f-.any degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The*rof6;g 3prox x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the rpf oo3x;gr*6 x axis must be

  A 400-m tall tower casts a 600-m lo;a,zp btxn+,kng shadow over a level ground. At what anglezbkp,a;tx+ ,n is the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What;qkdcg,wo/(+x zy,e( y y,gl u are the components of the sum of these (uy,,d,gexl y ckqzoy(w/ ;g +two vectors?

  Two vectors A and B have components (0, 1) anf 3a0y*qbhmtl3ou ct n,d2pm 2y;4ff )d (-1, 3), respectively. What is magnitude of the sum of these two vectors?myqpd;f 2n t *4tf323y0lhcmou)b,f a

  Vector A = (1, 3). Vector B = (3, 0). 3cpn6gmuk 47s Vector C = A + B . What is the magnitud7 gnpkmucs63 4e of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its d)e.j5wez8 wq-u1 serrisplacement?) ewe.urrq8-j w 5se1z

  Three vectors, expressed in Ca a:*g litw/,y3a0 qpaartesian 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 zg7*l)q6i rqvCartesian 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 thrvp o8vm1r4 b;u1kdr5w 7x; okc2g8nrz :ni;xe magnitude ofi 1 xdo8krvm b5knz cr;7rp4: ;u18gwx2vnro; vector C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is th, vg6ie pz-peb0 otl;1o60vsve displacement of the jogp0,gtb1o li; eo 6s6ezv0-vvp ger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the maa sur* dg;i p/lef0t84gnitude of the resultdt 4arg8 fs0p/;ilue*ant force?

  Two forces are acting on an :b)mylaijj4 jy:4c h4object as shown in Fig. 3-1. What is the direction of the resultant fjc4jb a4yy:ijhm4: l)orce?

Vector A is 5.5 cm long and points along the b1rilde+a 9r *o zm;;qx axis. Vector B is 7.5 cm long and points at +30e tbr*q9iz1m oe+ ra;ld;o 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 poin7 ya4k klrjjgy()4(vjoqd .2zts 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 speedz*2i ds:jl n ,yj1,ddk/ hi6uyn+g8hp of 10 m/s from the edge of a cliff. A stop watch measures68zdn y hlnd/+g, kjsuhp,y* di1:2ji 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 cliff?

  A girl throws a rock horizontallyls,ch *+fvpf;:sw yc2, with a velocity of 10 m/s, from a bridge. It 2 swp*+ch:, vflfscy;falls 20 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the khzk x o:uf3oa/-:l,f ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was of/zu:, faoxlkhk :3-it thrown?

  A jumper in the long-jump 6p:w.+x q,0jkck 2zvgh0m fidgoes into the jump with a speed of 12 m/s at an angle of2.q f6d,0k cz 0:xgm+v ikhpwj $20^{\circ}$ 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 ,/rsp0r hhy zx; 7ppo;of hp;;yrxh /os70z,pp r$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s a;lj1ox8ql0 n8w)/ af:hse loat an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched witmf 64)khu: brgh an initial velocity 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 anloa8ja4)np4* ijoq6 ll8zsw:h a8 bc7 gle 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* ublmx9 ,hn;l horizontally at 23.4 m/s from the roof of a building 55.0 m tall.ll* n 9bhxmu;,
(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 firedwx7 d9v,t qd2uu5 cs,s from ground level with an initial speed of 55.6 m/s at an angle t9,q swc2dus5 x7ud v,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 b * situ2e.of.nvq,*qa 1500-m race at a velocity of 4.0 m/s. If you ran th.q,seo*.nv2*b i ufqte 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 be

  A plane has an air speed of 200 m/s due North, and isezygn nxfk5. o(o1 hv+a;qg ;9 in a wind of 50.0 m/s to the West. The plane's speed rela.eqnx;ay;g9 v5k 1h go+(nozftive to the ground is

  A plane is flying due Swo pkjzz:)c )1outh ($270^{\circ}$) 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/qqo n- qz 5ft0rh i,-ekm368fxh 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+sg -pfv8 qugfjt61+i 200 m/s horizontally fires a projectile with speed 50.0 m/s in a forward directi1uq6v fgit gj+s+8 -pfon $30.0^{\circ}$ 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 ziwt s9g7s2 +hdirected across a river with a s hzi7+2w9 tgscurrent of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to t,31wf2ft0b8q,fad xkly/hmsxl9c c( ravel directly across a river 1.6tq ,k , dlwh(s 1a93cx/cxflym82bff0 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 move at 10 m/s in still water wishes to h6fy9q3h w9edf y* yh4travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upsfhfhh 4d3yq69 *yyw 9etream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the5xc 8 r1 whs8db3hszaj+* bar) opposite bank in 6 min 40 s. She is swept dow1h d s35w *bj8 abrz)crhax+s8nstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a riv ) 6ome::atlbier 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstr ):e6litb :amoeam 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must ao2+1gn+on 6u cuh+c,9ecm dnpe6d f/ lim upstream at an angle of pucd 2u eoeo1+h,6nndc f+6g/c+ lmn9$26.3^{\circ}$ (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.