Which one of the following o s0 -9fmk2 zp0rx,k8uu pz5fois an example of a vector quantity?

  Which of the following operations will 5y1vtb gxmj)qhr ,k8ba*o rqq4g;6 v7 not change a vector?

  Which of the following is an fhu 4lgx)bsi fwo: ;p-dgz;-) accurate statement?

  The resultant of two vectors is the smallest when l s7w*;lo)1k4inluxn the angle between them is

  Two displacement vectors have magnitudes of 5.0 m anu )dnsw1u5;(mdzkj; e d 7.0 m, respectively. When these two vectors are added, the magnitude of nj;5(;e umdsd 1kzuw)the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the f6oq2rw(c8dt *uj aq9zollowing is a possible answer for the magnitude od w8q96cor*2( azutjqf the resultant?

  Three forces, each having a magnitude ofst8fx y( 8517y xg-iduo8etbe 30 N, pull on an object in directions thdoeg8 -5fx8s iu8ex yytt 1(7bat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vect11 hoeq)9,)e+vl o m ah4ad0lqz 6izzror is

  Ignoring air resistance, the horizontal component of a projectile's 4kj3fjlsv8.vj0 z0ul;yq r7pvelocity

  A ball is thrown with a velocity of 20 m/s a8p)hv ncj6scbu8,t .et 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 component of a projectile's accelerb6l 92qr; ooy 3r*f/z0 pwwkirationwyf32 *qz 6;oo/lwir0kb9rr p

  A soccer ball is kicked wit1rx40 iu4t4kjoowybl9f s 8i 4h 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 directed anti-parallel to the vej hshn-, do8omrboxsy6b;57 niy/t3; locity vecto;8d 76- 5ohsrn,bt;n /ijoy3 o bsymxhr,

  If the acceleration of an object is always directed perpendicular to its veloczn0 r.y,*,fpd oelwf.)if2a iity,i lfp 02.ed, nw o)ifrzay.f*,

  At what angle should a water-gun be aimed in order for the water to lyy+fn;m + tbr)n4 g(hrpq2r1 pand with the greatest h+gfn;ym1)4( p+hbtrp2 nrr qyorizontal range?

  An Olympic athlete throws afup)n,v- -jppnig-rcx 1mn( 9 javelin at four different angles above the horizontal, each with the same sp1f9pu,- p(pnnmgx-njrcv i- )eed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 y c/p+s)aot +0zfngez) our hand with twice the velocity it had on your first throw, its horizontal range R (compn/+epa f))0oz scz t+gared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle/v gss7hd6,l:aeh:yz 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 doesq1-wy+t h9-3tyi) *m) j (vnx ydbbmkn its 3*bh( w)y1--x9nm+ jkm tq)dvy ytnb ispeed compare to its initial speed?

  A stone is thrown horizontally from the top of a towc kw*.9pvo+) 7wnwh 85afq tsfer at the same instant a ball is dropped vertically. Which object is traveling faster when it hi owq+pasvk8 wftf.*7nw 5)ch9ts the level ground below?

  A bullet is fired horizontally, and at the same instant a second nbo8meebf ah 57x:ihp ; y5.q dshz.:+c;eb*z bullet is dropped from the same+e58 yd.iphz*enh;b: q;sfm o xbczbeh7 :5.a height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontale kyhs3h:s.guc(9g d gl,7s do29wc3tly at a speed of 118.7 m/s and at an elevation of 187 m drops a package. 4.4 seconds sd(soyc:lg ,7ghsg2w 3h9c9te.duk3later 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, and one second ; 4d8ijfmh, bnkr3pj/later a second package is /48jd bf ;phkjrn ,i3mdropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flyindmljkc/ s .iu3,ad py1g+56r zg horizontally at a constant speed. Neglecti6+g c/,d1dpa s mklj53yr.zuing air resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of thz3xy+p40lp3yyau1s i at on Earth. If you hit a buy3a0341i y+yp zplsxaseball on the Moon with the same 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 agr;6kyyu234 fwcna c,xis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative veawkc y;r uf ,6cny43g2locity of your car to the other car is

  You are trying to cross a river that flows due south with a strong )fjub-iu 0(z lcurrent. You start out in your motorboat on the east bank desiring to reach the west bank direu j(l0)izfbu -ctly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. xm;tgskl:7q/ How much time will it take you to move 12 km downstream, il :xmgk/q7ts; n a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of )v6jj3ih9n;9l nv sws30 degrees below the +x axis. The y component of j3; 6jsniw)9 hln9vs vA is

  If a ball is thrown with a ,uokcf k--g;ovelocity 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 dire xjw oz5zs(/ rbmi11s:ction north of east and you end up 2.0 km north and several kilometers east. How many degreess wz:1o( s5bx rzmij1/ north of east have you walked?

  A butterfly moves with a speedd;b/zek 2;mxg of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis must b2d ; mx/b;kezge

  A 400-m tall tower casts a 600-m long .r s ilo)o5y+s i- 2.nj wlozysfd0h,*xa c;,kshadow over a level ground. At what angle is the Sun elevated abnsy a w s)sy.zjcr5olii.fkl x 0-+,;2*,doohove the horizon?

  Two vectors A and i8) x skx-.tu ;sks+dqsd60l nB have components (0, 1) and (-1, 3), respectively. What are the components of the sum of thesns. 8k6sd+q t;ik-x d0 xs)lsue two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), re4 ylo4k z0ntjn7o.igm a60q.)+o u nbespectively. What is magnitude of the sum of these tny4i q.+6unb00 oa.kleoot m 7g )jz4nwo vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Whndw(b;+oyo o uw,5 cq-4(za byat is the magnitude c((54yww+o,odyoz b nub;qa- of C ?

  A car travels 20 km West, then 20 8*s7c9kzne xdb z;a/witf c36km South. What is the magnitude of its displaceme;fs wen c/c6xza79btdz3i8 k*nt?

  Three vectors, expreshay+ 4whc )tn6k6u 8a4x yly-m4d/vbssed in Cartesian 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 Cartesian coo)z)suh.tv ;q bvi r9ykr51t4 ordinates, 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 vecx1c30zqeft3 gs k+ xl;tor B = (+3.0, -8.0), what is the magnitude of vectoskx0 e c3zq3 +ftxg1l;r C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displta6vq:k zu8 s6u3baq- acement of the jogg6uv6 zt83sq-akqa:buer?

  Two forces are acting on an object as nh p+.6po s8 tjx7g gouax*1n:shown in Fig. below. What is the magnitude of the resultant forx86 u nno1jpa*t.xo7p:hgg +sce?

  Two forces are acting on an object as shown in Fig.e*w6ke).qjo( be1q,uicg n*z8ep mv8z, vkw1 below. What is the direction of ,b8q6eez q )jmpo(wvecz1 n.g*e, w 8kuk1i*vthe resultant force?

  Vector A is 5.5 cm long and points alo/ n(,,v r-zh+8eiklive0trr ong the positive x axis. Vector B is 7.3 cm long and pointr/e(z+ei 8,nr,v r-h0 tkilv os at $+51^{\circ}$ 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 52 cm long and points ajq+lx*cdzo*y s 6s3t* t $30^{\circ}$ above the positive x axis. Vector B is 27 cm long
and points along the negative x axis. Vector C is 39 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 183o:3ff2zzxi - w;bvwi m/s from the edge of a cliff. A stop watch measur3i-;i wfw3f zzo:xbv 2es the stone's trajectory time from the top of the cliff to the bottom to be 4.2 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 11 lm/la o- hwb,b*odkp d8/j 89guh16ptm/s, from a bridge. It falls 22 m to the water below. How far does the po8p9l1-dj* h h,ka d/l/umt wo6gb8 brock travel horizontally before striking the water?

  A ball thrown horizontally from a point 21 m above the ground, strikes the e 4;fc,0wvuxv- )pxarground after traveling hori 4rf;xx0e )u pc-,vavwzontally a distance of 23 m. With what speed was it thrown?

  A jumper in the long-jump vy5od: - 4lk;ntmk;gggoes into the jump with a speed of 12 m/s at an angle ofd:lvn;- mokyt;k5 4gg $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump gop*m*rgk bm-jl3 v3c;f es into the jump with a speed of 11 m/s at an angle of cvk*gmj3b-fl;r 3* m p$39^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an init r6 :+menvmk3s ht8n*lial velocity of 28.6 m/s at an angle of $26.5^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 32.2 m/s at an ang sl hdqq7u *f0 0nh6/pakt94kq vyn2u)le of $16.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an /+1 :u ghz 5b9yfgyy4kygvt3w 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 horizjpg7q4oa* w7xi k+jb15hdt*j ontally at 26.9 $m/s$ from the roof of a building 64.3 $m$ 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 init*lcfmkt(hx*3r/ik(g + kau*ykw/2n c ial speed of 61.1 m/s at an awimu/akk c(r /kg*tn*lcy*(h f+2xk 3ngle of $42.5^{\circ}$ 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 velocity of 4.0 m 0 + ;uzaoalsys,dt(g8/s. If you ran the same race onz ,ylos+ u( 8ts;0aadg 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 Norgiamz7j / ,klbid)(8uth, and is in a wind of 50.0 m/s to the West. The plane's speed relative to the ground d u)i,/kz 8bagmi7lj (is

  A plane is flying due Soudr d5p7jq(2 iith ($270^{\circ}$) 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 kbhpm *s g3n;0h 8 :d x5apqavz4n/3tuom/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 20 08rog;w vd (8(w.ct+nr: npia+jqijf0 m/s horizontally fires a projectile with speed 50.0 m/s piw+;0+nfcg vdrn qj8aiwt8.j (o (r:in 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 8.2wpw i 5p:iy5n0 m/s, is directed across a river with a current of 6.0 w5niwp y:5p i2m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 15 m/s in still water wifn5eo4ob)8m/g d )ntus3jp-m 7 3folzshes to travel directly across a river 1.1 km widp-3do7unm mez /)n t8ol)fgboj3s4 f5e in which the current flows at 6.8 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 wpf3mlv86aq7 zv;(kz:7zv m e::vap p kater wishes to travel directly across a narrow strait in which the current flows at 58mpvm:za 6q (: z7avv 3;k:7ppflkzev.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 2jmp .(0rwdu 8pczmd5qn3hp qiz4, ic1dh(l*+00 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast c8(ph1n mp.cddqqic5hmwu0, 4+izlpzd( j*3 ran she swim in still water?

  A swimmer heading directly across - 5hp0gsopn dz)7l;)kt zzkvx:u/ 9tka river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Wha/thz k0u-x :) do5k z;nkvsgzp7t )lp9t is the speed of the current?

  A boat, whose speed in still water is 1.28 m/s, must aim upstb9sw - rbvar4+ream at an angle ofbasv+-w 9 rr4b $12.2^{\circ}$ (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)  $m/s$