Which one of the following i8 t 6zejetp)ighh*9h( .hsf:d s an example of a vector quantity?

  Which of the following opepd z qnu,hl77y2pl+m//mxg*arations will not change a vector?

  Which of the following is an accurat0v/*td4s-4sog h,-x ggf x avmj7 -anee statement?

  The resultant of two vectors is the smallest when the anglpylwxwg7 hgd/q 0kdek oj 63w 7zu16/:e between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, res+*w jwb dv zo/y.5eo)ppectively. When these two vectors are added, theo )boz 5*/v+yewj. dpw magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the follo5/ hr+ kc1ed n0rf/txseoe5 8cwing is a possible answer for the magniturn8cc5x1 t+/ / skrdfhe5 ee0ode of the resultant?

  Three forces, each having)ey,a3p.pe e:4sz npv /md7gr a magnitude of 30 N, pull on an object in directions that arez e4/pepes) , gyvapd7.r3n :m $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, t cjr;73yeea s/he unknown vector is

  Ignoring air resistanb/dbtwnw(v g,*/jxj- u 3 neg(p(ks/z7kz d/dce, the horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angleuw j*ics)jn u*r4x1bxylc,. ) of 60e above the horizontal. What is the horizontal cn,u wy1rcl4 ij ux)*sj ).*bxcomponent of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horize8cr1btvt 7r;.dl v .gontal component of a projectile's acceleration vrr e .;7bt.gd1lt8vc

  A soccer ball is kicked with a velocity of 25 m/g .-6fw9 xvvzh.5ch kvs 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 vecto6lw md23ejw h7r of an object is directed anti-parallel to the velocity vectorld7wjw2h3me6 ,

  If the acceleration of an vl/d j3 (dz9lrobject is always directed perpendicular to its velocit jrz/93 (llvddy,

  At what angle should a water-gun be aik1w)ki /cna v6qs 4qa0med in order for the water to land with the greatest 6anik q4/ vs1)ack 0qwhorizontal range?

  An Olympic athlete throws a qz/dtni 3 08cdjavelin at four different angles above the horizontal, each d d3q/ct8i 0nzwith 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 balv+ln * zzx4e-v0lvl:i l leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would vzv4eiv-lz: l *0lx+nbe

  A ball is thrown at an original speed owl3bm9 k;wstb0 i. ev3-9q bbnf 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 heicy0h dosl 3g2;asriy,y2c,,95-z g q nvwf s6lght, how does its speed compare to its 6s5f0 g scsyhl3dy;w ny ac o2, 2i,qvz9-r,lginitial speed?

  A stone is thrown horizontally from the top of a tower at the *qrljbvw ;uqj17x7, mn ktl44 same instant a ball is dropped vertically. *tqx;m, l41u vn74ljbw k7qrjWhich object is traveling faster when it hits the level ground below?

  A bullet is fired horizontupj+ 7 s (sbepqo5cy(k72i c)e8tmov1ally, and at the same instant a second bullet is dropped from the same height. Ignore sp8i(5cbsjpk+2etoey7 q u) 1mvc(7 o 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 elevatr4kc6vi* ergpba,v8r)mhwz51l,8n : o n6kx kion of 160 m drops a package. Two seconds later it drops a second pacr hvvmk,)xl 6b8z*won15krk8:a c,p6 r gie4n kage. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one seco4.dxn5xxqu8u(anyy.xll-3 g: ltx ;ond later a second package is dropped. Neglecting air resistance, the distance between the8du yx ga x4 yuln.lntl 5(:;xxoqx.3- falling packages will

  A pilot drops a bomb from a plane flying (1-/iaubbkj5i cuk- khorizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location o1j/a5b c -k-biuikuk( f the plane will

  The acceleration of gravity on the Mo4k8nr pda o..con is only one-sixth of that on Earth. If you hit a baseball on the Moon with the s8crkdo n..a4pame effort (and 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 straight, level road/co(2 v/u;3pgjb:pbat c e gf( and pass a caf g (jeu2 pb/t o(pbc/c;3a:vgr traveling 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 with9 0vxdeq)ux0b a strong current. You start out in your motorboat on the east bank desiring to reach the west ban9x0 0b x)udeqvk directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still wat2i2z ;1yxro gyer. How much time will it take you to move 12 km down oy2xy21i;r zgstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axi++c,ab ,k0b.u2ugqu 4(dnycp9v r rim s. The y comc4bkvn ,u+m2,y+0 .(g urcpbu9qdiar ponent of A is

  If a ball is thrown with a velocity 0j:e6t;rbc jz ),igm. zbw8jpof 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 nor6euxfphsxx17 l: rou4 /3xx 1yth of east and you end up 2.0 km north and /xlx413 7u6yxpx sxr he1ufo:several kilometers east. How many degrees north of east have you walked?

  A butterfly moves wip2 em2v:cbp*w *pail u3;*ogsth a speed of 12.0 m/s. The x component of its velocity is 8.00 m/sp*; gm 2*s io ap3velc2ubw:*p. The angle between the direction of its motion and the x axis must be

  A 400-m tall tower castsf.tj*b ew;u66 bdlz 5l a 600-m long shadow over a level ground. At what angle isbwlu*6.td 5efz; b6 jl the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1ae;7,2/1 bgi/d9hz wmn3w l3: dupiepow xpy5) and (-1, 3), respectively. What are the components of td3xwnp:7 5z,3bdoal e u1w29pw;/ iyp ihegm/he sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What is u+m0*r2)xegn1q mqqd magnitude of the sum of thesq )q*02m1drmexu ng+qe two vectors?

  Vector A = (1, 3). Vector B = (3, 0). 9ti6n7td of /hVector C = A + B . What is the magnitudoiftt97nhd 6 /e of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displ lard; 0(of.hva.rlhdv f(0a ;ocement?

  Three vectors, expressed in Cartesian coordinates, 0 nlvx5zm;5ooare
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 coord7fm dnq9n/ft(o :k wf.inates, 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 fgm6 h hr+wksu2.qr x3. )e9cn= (+3.0, -8.0), what is the magnitude of ve .hnrs23wc .6)qh+r9gxuk efmctor C = A - B ?

  A runner runs halfway around a cir.ii 1, a yejcxhia93k3cular path of radius 10 m. What is the displacement of the joea3ax h .ki9c3j1yi,igger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magn (y: h51gh7nq5jxo7 ndhsvl8)c ruo:i itude of the resuhyij()nx7r s : lvu1o8 oqc5hg5d: hn7ltant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the didcn3/g mlw1z2kal l: /rection ofczn ad/3/2g :1ll wlmk the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector :/ q7jnvuzzap 2 (eav-B is 7.5 cm long and points at +30e to the negative x axivq a-u:p( zeaz7 j/nv2s.
(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 poin4wlbor/fadp7. ,c ui:ts 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 horizontally4espto:l2l(7 rpcs4 w with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory timwts7:pleoc rl 24 4ps(e 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 of 10 m/sua 5p0z j*f/jb, from a bridge. It falls 20 m to the water /jbp uf5aj z*0below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m-uwd9.pl 5xvyov o)w( above the ground, strikes the ground after traveling horizontally a distance of 18 ).u 9ldvowp5w vyx(-om. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s /yrhm2idnf-a)o 9za.wn )bi* at an angle o)h a wn- ranbidz*./9o2)ymiff $20^{\circ}$ 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/sw/c2rl8wt :jrm4/p0*iplm3de c w:re at an angle of: mep/llew wc0p:rw4t 8ir3m*/c2dj r $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 mk6wqm .+mc4kkjxjf 6s, b*xd)/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 6jda5j u1f ass1n9m74:hwfxfr n 0l4x90.0 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 angljx) +7su9zxb re 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/s from the roof of a building 55.ph*3p,ami7rzjn0(zp vd 06rnte+wx, 0 m tall.njnd+0pwz ip,67pre 3t*x h,mv z0r(a
(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 grounlkf(la b 4q2er5-vp +cd level with an initial speed of 55.6 m/s at an angle ofr4q5clf2+ e avkp(-lb $41.2^{\circ}$ 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 k5x; pe2aspok;l+ e8x.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 woules8+ ;;lk kpx e2x5poad take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/s tl0 7vkhjax2q+( qj9 xt.m,wy mo the West. The pl2h.tqxvmka 7xj q,+m9 wy l(j0ane's speed relative to the ground is

  A plane is flying due Slv-k.xwyvhgl,n7 ) 7i 3gos,gouth ($270^{\circ}$) 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 jscng*+z/1 b q .qxre;qlp+ 4qis 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 50.0(+ dfnt;g w-d-hp/wcpz,d ) pj m/s i; )pw+-jnw(/td-cz ,fdgdpph n 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 acroseid)8d zfek7kw0 b5/ms a river with a current of 6.0 m/s. What is the speed of the boat as it crosik m7k8b f0ew)e/ dd5zses the river?

  The driver of a motorboat that can move at 1 ohk s8z5h/ +gbgwcj6;0 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long wil ggw8 ;s /chhb5k6z+ojl it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stin0h:b t)c ypw8xr9eze5j ,9kvll water wishes to travel directvc)9tnex 59zhw y,r:8epj 0 bkly 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 reaches the opr (spk )eepx;yrzxl.hlz- ;,3;3hx fyposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can ,xrrke)3.z;z xx-sl pfplhy 3;(h;eyshe swim in still water?

  A swimmer heading directly across a r8dkww 4+any y6f4 2tcjiver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstradwnk y26fjc+ 4w4y8 team 480 m. What is the speed of the current?

A boat, whose speed in stin9k,dx.9ihup)qo,v t, ef o5 jll water is 1.75 m/s, must aim upstream at an angle ofo ,,t,p95)e9.iqk jvnhfud xo $26.3^{\circ}$ (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.