Which one of the followinpx u ojy+1+em/bp6m3o g is an example of a vector quantity?

  Which of the following operations will not change a veceow /om4 (1dggtor?

  Which of the following is an accurate uv qwe ,j54dhve;99 ckstatement?

  The resultant of two vectors 6erw g9lg22w np0cz hllwt01+is the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 dgj.b/b ,9nm -zd gldw* q3kj4m and 7.0 m, respectively. When these two vectors are added, the magnitude of the jbd- jgm dgq 3l4*,/zk.bwd9nsum

  Two vectors, of magnitudes n .mg/jr(p k:h ;qca p)eq jdvlm-,6z)20 and 50, are added. Which one of the following is a pos ,je (mz-p/qrdn)lkvg. );chj:6 paq msible answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an 4npywc /bdh;tju+ ;iua(lhro5 v2*8qobject in directions that2 dn+;w /bphvuyr q4*h5ocjtui8l(;a are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown ve/ fqd.wq mal30ix x3i7ctor is

  Ignoring air resistance, the horizontal component of a projectile( 87sr5ztqev5 uvbd ;c's velocity

  A ball is thrown with a velocity of 20 m/s2b uv/f7t wgf0 at an angle of $60^{\circ}$ above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal componentmd:)zd3r 4b:x s,ynuwuwjx() of a projectile's accelerationuwx)d4 :ud()nxz r,ms wy:j3b

  A soccer ball is kickceakx8pd78l b 49h9taed with a 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 zb5-vd1hn8 wtsz0:qs ws db7d6ib(6 idirected anti-parallel to the velocity-1zt8sdb : hdwiz5606s bw ndq svbi7( vector,

  If the acceleration of an object is always din +84- qoy1f( ie)yp0qis dcaorected perpendicular to its velocity8y1y cs)+ oao 04iqfe(-inpdq ,

  At what angle should a water-gun be aimed in3, po0 g,xgo btb)avx1 order for the water to land with the grea tvxboxg1o0g)p3, a,btest horizontal range?

  An Olympic athlete thrvxo kw(a tyqkud;od3+ -v/f5 8ows a javelin at four different angles above the horizontak d/xaqfwuv (;o8o5d3tvky+ -l, each with 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 your ha; a (4+imvtrj40eyifknd with twice the velocity it had on your first throw, its horr a+itk;0emj 4fvy i(4izontal range R (compared to your first serve) would be

  A ball is thrown at an origg eu; +0 3z*mv0togyiyv4url+inal 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 retm tvm+5 69fubug8c)eaches its maximum height, how does its speed compare to its inimb9 u 8u6c)ftvtg+5me tial speed?

  A stone is thrown horizontally from the ,qu*z y,fl;r.y q*qm4cx.is wtop of a tower at the same instant a ball is dropped vertically. Which object is traveling.f *c*y. xlryqmqi; 4qw, z,su faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a secondkw ,w7hsml 0i9 s)rbm1 bullet is dropped from the same height. Ignore a9ib 7rmhsmlk 1),0wswir resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 79.2 m/s a,h*r *k 0yko.:aalqmg nd at an elevation of 237 m drops a package. 6.5 seconds later it drops a second package. How far apart wi* a*ky:,hg0r qk.lmoa ll the two packages land on the ground?

  A package of supplies is dropped from a plane, bz8 lvxh;) zi f)zvu+w-n i*,zand one second later a second package is dropped. Neglecting )zbw*;x8zi+ zzli ),vvhn u-fair resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a consta7jitvvt y+ used ),1.aol 5i /gvkad80nt speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of/vv 07+ lttia8u1 ,joseik yagvd.)5d the plane will

  The acceleration of gravity on the Moonuwo + kebi1,tiq2m26s is 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 on Earth, the ball would l 2i2s m+,eqo1tikuw b6and

  You are traveling at 55 mi/h in the +x axis relative to a st rj 0mlrn)f63draight, level road and pass a car traveling at 45 mi/h. The relative velocitn0 ml6d r3rf)jy of your car to the other car is

  You are trying to cr(ynixt(s4v1y w9; r c6 twu.wqoss a river that flows due south with a strong current. You start out in; i9 (cqn4usvyw(t6wr1.yxw t your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 kmwm )cat)mo4 s:/h in still water. How much time will it take you to move 12 km downstream, in a rivao 4)s:tcm)w mer flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The yw+w y 3ajicx ,2b+4,g+dx tp2kg.yize component b egpi++t.,yxwa 2,+c2d z4xgk 3 ijwyof A is

  If a ball is thrown with a vepiv.ih rp,)0d locity 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 you egxo2ps bf: 04fnd up 2.0 km north and several kilometers east. 2fsfx: b4go0pHow many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The xvi,;h*a p 5xp5*e4r-z zf24m ueae jen component of its velocity is 8.00 m/s. The angle between the direction ej*uznmiahe4pvz5parxe2 4; ,e f5- *of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level gxs o7oeb2hm s78 l-m8 pm*da9c81 lstsround. At what angle is the Sun ps 8ooa98d- *s81s7x2c ml meltsbh7melevated above the horizon?

  Two vectors A and B have components (0, 1) and j.j4l( r h:w w)uc :naqz9xa9n(-1, 3), respectively. What are the components of the sum of these two vectors:zwn:4 )rq(x9cwj. lu9aanh j?

  Two vectors A and B have components (0, 1) and (-1, 3), respt-y4bd, e((wco pshe(ectively. What is magnith(4wbye det,-po (c s(ude of the sum of these two vectors?

  Vector A = (1, 3). Vector B q8nb .cm4r upsaj 0(rr.*g* gp= (3, 0). Vector C = A + B . What is the magnitude ofb (r0 mcn.q *r.psg8r4jpaug* C ?

  A car travels 20 km West, then 20 km South. What in.. js2p,smi;aqkkcc p+ b2:us the magnitude of its displacement?ba . sc2;2jic+u:,skm qk.npp

  Three vectors, expressed in Cartesian coordinaxolbb*g8);s fz(( jc ptes, 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 Cart 0qoe8xt4jx jme8 vy(ub+24mwesian 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 = +ys r,j4lobz h;qb(; b(+3.0, -8.0), what is the magnitude of vector;bh (b4ry joq+b ,szl; C = A - B ?

  A runner runs halfway around a circq ykl2e v m6e7,2yr-ezular path of radius 10 m. What is the displacement of the jog7y,r-lqe2 m6ezv eyk 2ger?

  Two forces are acting on an objrjdd(4lpy a +m7a a(ez; 3d6i.q6ez zuect as shown in Fig. below. What is the magnitude of 4 a.e za+mzl6r6ijy ezdda3 q(7;pu (dthe resultant force?

  Two forces are acting on anqm g4 z12xpr4m object as shown in Fig. below. What is the direction of the result qr xzm4m1gp42ant force?

  Vector A is 4.5 cm long and points x:+kc24ae -zx9c,-qw drjeux along the positive x axis. Vector B is 5.6 cm lon a:xwuq xer94-j,x k2e+ zdcc-g and points at $+38^{\circ}$ to the negative x axis.
(a) Determine the x component of Vector A $A_x =$ (数值)  $cm$ and y component of Vector A $A_y =$ (数值)  $cm$
(b) Determine the x component of Vector B $B_x =$ (数值)  $cm$ and y component of Vector B $B_y =$ (数值)  $cm$
(c) Determine the sum of these two vectors in terms of components. $R_x=$  (数值)  $cm$ and $R_y=$  (数值)  $cm$
(d) Determine the sum of these two vectors in terms of magnitude  (数值)  $cm$ and the tangent value of the direction angle (measured from the posive x axis rotated in the counterclock wise direction) $\tan \theta = $  (数值) 
Please only fill in numerical values in the above blanks!

  Vector A is 90 cm lo:q xr88aypx(w )ueu5v ng and points at $30^{\circ}$ above the positive x axis. Vector B is 15 cm long
and points along the negative x axis. Vector C is 24 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A: $A_x=$  (数值)  $cm$ and $A_y=$  (数值)  $cm$
(b) Determine the x and y components of Vector B: $B_x=$  (数值)  $cm$ and $B_y=$  (数值)  $cm$
(c) Determine the x and y components of Vector C: $C_x=$  (数值)  $cm$ and $C_y=$  (数值)  $cm$
(d) Determine the sum of these three vectors in terms of components. $R_x=$  (数值)  $cm$ and $R_y=$  (数值)  $cm$
(e) Determine the sum of these three vectors in terms of magnitude  (数值)  $cm$ and the tangent value of the direction angle (measured from the positive x-axis rotated in the counterclock wise direction) $\tan \theta=$  (数值) 
(Please only fill in numerical value in the above blanks!)

  A stone is thrown horizontally with an initial speed of 14 m/s er wpf49 -0fs2)oc uewfrom the edge of a cliff. Afs0 erwpoe 2-fc94u w) stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 3.8 s. What is the height of the cliff?

  A girl throws a rock horizontal39ea:wmgp 6 - j9mynrcly, with a velocity of 18 m/s, from a bridge. It falls 24 m to the water below. How far does the rock travel horizontal6nej3 - :9ryc 9amwgmply before striking the water?

  A ball thrown horizontally frot1d(6 qbcv gf.m a point 20 m above the ground, strikes the ground after traveling horizonta1fc .(q gbdvt6lly a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the j ushdu*,gc5 b9ump with a speed of 12 m/s at an angle oh95dg,usb *c uf $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-j7 lsmcx ,e; ist)73ssdump goes into the jump with a speed of 14 m/s at an angle c t),eds377 slms six;of $31^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched 4fu; :m;fhq abwith an initial velocity of 33.1 m/s at an angle of $36.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 29.0 mo7l ozg p..v 2ntq4sj)/s at an angle of $20.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ang8bmbr e- );rykle 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 ;d q it(.(rw,ay3 nsgryh.ea9 19.7 $m/s$ from the roof of a building 36.4 $m$ tall.
(a) Determine the time necessary for the projectile to reach the ground below.  (数值)  $s$
(b) Determine the distance from the base of the building that the projectile lands.  (数值)  $m$
(c) Determine the horizontal component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$
(d) Determine the vertical component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$

  A projectile is fired from ground level with an initf(u)lho gx8: cial speed of 65.6 m/s at an an (o uxg)l8chf:gle of $38.6^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.  (数值)  $s$
(b) Determine the maximum height reached by the projectile.  (数值)  $m$
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height. horizontal:  (数值)  $m/s$ vertical:  (数值)  $m/s$
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height. horizontal:  (数值)  $m/s^2$ vertical:  (数值)  $m/s^2$

  On a calm day (no wind), you can run a 1500-m race at a veloc(u )dcfyoz 0r*+e+/mxxw sfc+ ity of 4.0 m/s. If you ran the same race so)*(+w zemr +fux+fxc/dcy 0 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, ancbvu11l.6) ikcj5, zuac)jmi x rpm8+d is in a wind of 50.0 m/s to the West. The plane's speed relative t+ )icuv,jl6mikj1)c 85raxc1 .mupbzo the ground is

  A plane is flying due Sou 4.51cshpbzfz+1usku ewf,a 6th ($270^{\circ}$) 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 speedbg)l d9p/:zja of 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 moving 200 m/s horizontally fires a projectile with speed r ,vmbv8 cnacj(s8*;m 50.0 m/s in a forward dir(*8,ra vjc mbvmc; n8section $30.0^{\circ}$ 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 a l g6c+7dqf/t 3vl3ylqriver with a current of 6.0 m/s. What is the speed of the boat as it crossedg67 l c tq/vl3f3+qlys the river?

  The driver of a motorboat that can move at 18 m/s in still water wishes to ty47vr3;dyqk,svz lb , ps8if8ravel directly across a river 1.0 km wide in which the current flows at 4.7 m/s. How long wis8b4kzys py, fvq8 r,di;vl37ll it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to traverocq8u ac8ars0mg:,*p2c fc.l directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head ac8 82q 0g csfrc u,cr*.moa:pthe boat?

  A swimmer heading directly across a river 200 m wide reaches theb g yu*mkf274a8dny 5e opposite bank i87fndyguk 4y5ebam2 * n 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 reas sgqd3 ;wmwmbu e7ik5-5r 69zches the opposite bank in 6 min 40 s. She ike-id55q 3rzbw 6s uw;7m gs9ms swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in st 5dz),fjwfeg;ill water is 2.11 m/s, must aim upstream at an angle of fe;dg 5,)jzfw$24.2^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.  (数值)  $m/s$
(b) Determine the resultant speed of the boat with respect to the shore  (数值)  $m/s$