Which one of the followin-(h iow f/et d+s7zo7ag is an example of a vector quantity?

  Which of the following operations will not change a vy +0p8i+6umgq0n; we to 1thpxector?

  Which of the following is an accurate sta8 dk9krj ((a o6p xneun;un)5ktement?

  The resultant of two vbg3dd) ny c;h(ectors is the smallest when the angle between them is

  Two displacement vecto60alfam *+nf +akch2jrs have magnitudes of 5.0 m and 7.0 m, respectively. When amafh6f2 l+c+*nj0 akthese two vectors are added, the magnitude of the sum

  Two vectors, of magnituko(6cg n2zps ,des 20 and 50, are added. Which one of the following is 2,zo6npkc gs(a possible answer for the magnitude of the resultant?

  Three forces, each having a magnitude ofwa*k hob,+hf0 30 N, pull on an object in directions that aohw,+ *kbha0 fre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknorl f;edp77h3xwn vector is

  Ignoring air resistance,0 3-gae w . smb)mofv8benzv u(-jn,(z the horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the horizon (nabd4o,.6c b4xbpsttal. What isotns (6 ,xpab bbd4.4c the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projvi sv8f;vpap8((l vo-ectile's acceleration ;a-v( vlf8ivs p(8opv

  A soccer ball is kicked with a velocity of 25 m/s at an angle of , h)joo7uu s88xngy;j skd1n 4$45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of uwa9w(or a 5*u83j5u f..t;noc:psw hkd aa7t an object is directed anti-parallel to the velocity vu* kr5jp;d59a uw. w(:h7a8a ons3tfautw.c oector,

  If the acceleration of an object is a4urv ys+nm .5elways directed perpendicular to its velocitre4v+.s 5y umny,

  At what angle should a water-gun be aimed in orderg kzlv j83hj.;(d 4brf for the water to land with the greatest horizonta.bv zkd(fl8 j3hrg; 4jl range?

  An Olympic athlete throws a javelin f 8h w9e3mz;4 fqxvq2kat four different angles above the horizontal, each with the same speed: fkm 4x83w2qv9fqzh ;e $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball fpc* bmn;x7 0sqor the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range nqxs c07* ;pmbR (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an anglzw; k ln1-,kyde 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 ueox b4/7q h- f+*jlwagess 7;field goal attempt reaches its maximum height, how does its speed compare to its7 hbufqw+*;/g xs7s e4-eojal initial speed?

  A stone is thrown hoz6uaz3 * 1vz))hmtsxw4jiu 5erizontally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling z zv)a ewu tzu3xij56m*sh14)faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullwd4-6d kp2tcu.p kjx. et is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bullets ukpj2dcd. xt-.pk 64w.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevatiop7 )8j mku egl+x0ok9gn of 160 m drops a package. Two seconds later it drops a second package. How far lku7g+e0kx9m)o8g p japart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second2j0vqo5qkyjcn ,,n q8/ fygq5 packag,no yqjnfq8/q520q5 , yjcvkge is dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Negl:,0eqld;:ao2 cjk *ap (5pad1an qhsuecting air resistance, when the :opl*d jaquada(;q5:nc2 1e0k spa,h bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon ismw.pj9t g9n 1p 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 w99.pmjtn p g1on Earth, the ball would land

  You are traveling at 55 mi/h in the +x a-hn dv,nrh4o4g ,brb+ xis relative to a straight, level road and pass a car traveling at 45 mi/h. The rb,gh r,+bnor-h n4v d4elative velocity of your car to the other car is

  You are trying to cross a river that flo/s0 e )qdchjz7 0z1uf; wun;4ozr(;jrn5ulokws 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. Yo0u05 4;lqd z;nz/o r; kou(7fcjnerw )jz sh1uu should head your motorboat

  Your motorboat can move at 3 1i8.-b 0 cj(oq(m(f judpaxjs0 km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6 -(fp c08ojjb(.um1 qjsaxi(d.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreo ) ykeo6fo7s9es below the +x axis. The y compseo yf)ok976 oonent of A is

  If a ball is thrown with a velocity of 25 m/s at sx7f iw282s04hlwiblf4w k l)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 you3 0(;x e tw5wbowc9 u2 jf1wfoy3qgvj+ end up 2.0 km north and several kilometers east. How many de 3fwwqfb539guoe w1 x+;j(0yjvwt o2c grees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity is ffngrh.m6h(l4-ur6 qu*+vf qt( o k7k8.00 m/s. The angle between the direction of its motion and the xhhuf uln(6r7gro v4* t.fkf+k q( -6qm axis must be

  A 400-m tall tower casts a 600ol z;/6 l5ex.qgl+yxd -m long shadow over a level ground. At what anglex5 .lxeq o6dz+ y/lgl; is the Sun elevated above the horizon?

  Two vectors A and B have componp d :49liiz1 krtx+ 1dx4dkpn;ents (0, 1) and (-1, 3), respectively. What are the components of the sum of these tw1xpd:;zr xikpt4 i+ dk14d nl9o vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whs-t* a -brb-t4fi9gch at is magnitude of the sum of these two vectors?abt h---i4 9gt csfb*r

  Vector A = (1, 3). Vector B = (3, 0)v ;lvj 1e-,0 ts*flmzh. Vector C = A + B . What is the magnitude of C ? *zl, -jh1 lve;0ftsvm

  A car travels 20 km West, then 2qw1ml7es 9s2 l0 km South. What is the magnitude of its displacesw27ql1ml 9 esment?

  Three vectors, expressed in Cartesian c pi -bbvp37c(poordinates, 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 Cah ):kv2. h;anoayi cb0rtesian 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 isf dlirw8f5vg+8s l7c5w(+tjpwv u-0 b the magnitude of vect85pljd sb5 lfwiuw t0 +cf+gr( wv7-8vor C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the dsa zni07(ez+pw v *q+eisplacemvzeaqp0+ (*s+nw ie7zent of the jogger?

  Two forces are acting on an object as shown in Fig.lv2hco: mps5 :ei.. i rilc+u0 3-1. What is the magnitude of the resulta cvlphuoi.5:0lrm: ceis.i +2nt force?

  Two forces are acting on an object as showno5m67q cbr3 f8fg7qn v.rgms- in Fig. 3-1. What is the direction of the resultan8- sgc. oq7fm3vf6 rbm5grq7nt force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5,xwk) .-fgzfvef p+s 7 cm long and points at +30e t+f. 7s,gzp x)-w kfefvo 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 pointhcfoy+h oykh/dg0 9..s 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 horizontall3to z)2fs w)hsy with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the s sz3o t)2)hfwstone'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 horizontally, with a velocity (gioxhxs9;0oxejpa c7 7lqdc 99gv 3;of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel hg x0p7dhx9a9clv; csoi3(je7x9g ;oqorizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the gq d5; 0aqo:7 rzfdon.ground after tra rzg07 d a:.o5nqf;odqveling 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 im/ ex9/)fa0psfp .3dku z/yc12 m/s at an angle y/f 3e)9cu0p fspm .kzdx//aiof $20^{\circ}$ 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 jumpcxf-(bd 7 .+pnzziqz9*vaw.v with a speed of 12 m/s at an angle qv z.z7f d9*pwz(xv.ibcn+a- 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;k jh hipy3aar8- 4xw l.ge+5kqcg(.g angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launche,4jfu v9xyfv0h;tu 6kd with 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 a nb*5tgl5+bc jn 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 23.4 m (pb i0p;sohbo7(jz 5r/s from the roof of a building 55.0 m tallorpsi h5o(;0j(7z bbp .
(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 ,c ge.4(nv ;tnrdaf u2j-gb-pground level with an initial speed of 55.6 m/s at an angle 2rue-.- jc4n, vgp ng;f(adbtof $41.2^{\circ}$ 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. Ifh+w,2ll- o0 vzq danv2 you ran the same race on a day wheqw+o 0lhdz-2v,val n2n 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 isvx)sc1urdr3cub + (3 .9izfcp in a wind of 50.0 m/s to the Westu(.purr)cvs c 9+f3d 3z1ibxc. The plane's speed relative to the ground is

  A plane is flying due Svi(uc;hn0a i0 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 k+d.iao .rhpabja ;5 u:m/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 pr0.m2jprs rc7-3i 9mu;u bjv8p t2 zdxmojectile with speed 50.0 m/s in a 32rxb zimum -9d7pus.m ;2r0jpv8cjt 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 dirg )q rt(tu :+7jcsos0kected across a river with a curre7tkc(+ts0q jours: g)nt of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat tha, -jwk(ev xi;ut can move at 10 m/s in still water wishes to travel directly across a river 1. ,jki;u(ex- wv6 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 :y((0q7qpzdocgn:u n that can move at 10 m/s in still water wishes to travel directly across a naqog( d0ny(7znpqc :u: rrow 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 reaches th1 h gs,v:yf: 8y tug()kdaef.ue opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still waterudfkeas .g) fu(1g, ::t8h yvy?

  A swimmer heading directly across a river 200 m wide reaches the zlm0 jx5k9*xf opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the*m0k 5zlxf jx9 current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an angle u b( j,bszhb 21,xyxfbw7bob;4n /v*dofv,bxbbyhwu b ozs/b4d*b 7(x2n f ;1j, $26.3^{\circ}$ (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.