Which one of the following is an example of a vectfg8t y3ef5+k hor quantity?

  Which of the following operata.zjbcv -me2ny 3 )9/uawsjp0ions will not change a vector?

  Which of the following is an accurate geb+a)7qbsenk(li* hf d* y9)statement?

  The resultant of two vectors is the smallest when the an4 et 8b;v(ia9ve :f:r xtxoaa(gle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, resp 8s3(gixdqcu-sv :- zvectively. When these two vectors are added, the :v3 g8sc ivx-(s-udqz magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Whi :zhfxg lj86x3ch one of the following is a possible answer for the magnitude of the resul3z:8g6lxj fhx tant?

  Three forces, each having a magnitude of 30 N, pull on an object i u6kazcmw86;kn directions that are ;68k cz6 mkwau$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectofrhr +bq t c40912kuh a:g+ ha/y.atser is

  Ignoring air resistance, the horizontalvd.xn4o m1mhvn4+ g8 t component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angll:at/2 fkb uc24 zytx;e 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 projectilev zo, jozz cilj.i96skj9:/c2's acceleration kz9vjl zc c j2:soi,/6ji9z.o

  A soccer ball is kicked wtb.k k 4v7y9eiith 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 2 ze7be fdv32tz .zrn7qt*t2q to the velocity v3 n.q*z7 2t2e2zrbdfe vztt7qector,

  If the acceleration of an object is always directed perpendicular to its vesvsrg m,l4./2p 6 y1mo (vbfzelocit62zlr,v4vm/ o s ep1 (gfmbys.y,

  At what angle should a water-gun be aimed in order for the wat (c+b.ybev6kwfelk u e47 b85ver to land with the greatest horizontal racew8u bk (e57 +64.fbylkbv venge?

  An Olympic athlete throws axac8*w+p e- s e3kr0cx javelin at four different angles above the horizontal, ea3e w x*pcxsr+-e k80cach 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 hand with6tl2qun q2*lw twice the velocity it had on your first throw, its qwtl2l62qnu* horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s af0urap5njwn(o7z / y5xa*u15ed b2 z5kk. bf dt 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 doesv0t 2z/ gvu1)af9p)hnxpa9 r/f3d s cs its speed compare to isn)u 19a2t c)/r/ asppxh3fgv 0zf9dv ts initial speed?

  A stone is thrown horizontally from the top of a towe d ) q7grfz7+jdwyep;izg(+a4)z)nyhr at the same instant a ball is dropped vertically. Which object is fw; ++py4y)qr 7g z)h)jeiz dg(zan d7traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bu.qbzv /m7rx vd 74az2ellet is dropped from the same height. Ignore air resistance. Compare the times of faqzax 2v z 7e4m7bvr./dll of the two bullets.

  A plane flying horizontally at a speed nazrj 6chqu*x3q+g,gn )(9kiz v y-d7of 44.9 m/s and at an elevation of 289 m drops a package. 2.9 seconds later it drops a secondn 9ud)r,zhv3-7k cqz+gx( qj6y* niag package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second layo+qpm/zl 6y v3x*w9 ap)qfrdlhl38. ter a second package is droppeqwzhmlpr.8y3 q)3lfva*+pd 6o lxy 9/d. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speet ) fxamej()piq44 )jed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will )qipe j(4jeaxtm)f)4

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. Ifqj)bzzn c73yfya1c4cz4b a-26yt8w s you hit a baseball on the Moon with the same effort (and at the speed and angly s 6ba)tc7nq ca8443-zy yfz 21bzjwce) that you would on Earth, the ball would land

  You are traveling at 55 mi/h inl8m t lm2it+q4 the +x axis relative to a straight, level road and pass almt48+qtl m2i car 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 with a strong current xn:8al,pizp; . You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboalpxna ;: pz,8it

  Your motorboat can move at 30 km/h in still water. How much time will i( smy1 m4 tzokdt08q6qbyyn3)t take you to move 1mdks0tn1z)y yo 8y(btq36m q42 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude e 61paha65vzl8.0 m at an angle of 30 degrees below the +x axis. The y la5 ea6p1zh6v component of A is

  If a ball is thrown with a veloci csfm,( 37pcxo(.1mc )+qg pkf4mygki ty 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 znt7s: b ihl )0akyb:3straight line in a direction north of east and you end up 2.0 km no::lyzk 7in)tb3 ba0 shrth and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its vely a bvzss2q1 gi .m67kco4k6-socity is 8.00 m/s. The angle between the direction of its k 4o .qb7 z6ysvasg1c-i2mk6s motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what ang(j ttd.vxq ;d)le is th. q(tx;tdd)vj e Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3)swl6bgp/dd 80u b vnq-g,5tz., respectively. What are the components of the sum of these twov6 ln0-. tqp8b5b,dggszwd/u vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), r)fkyn/fp -2w0ad 9fbd espectively. What is magnitude of the sum of these twdf-ny)kbpwaf /0 d2f 9o vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Whq- rzs nfz xlvf4if85,. haw5-at is the magnitude of C 8a4fx-s.,n qzz rw5fi-h5lfv?

  A car travels 20 km West, t/v *ky rq kksh8fuhg,(w kx458hen 20 km South. What is the magnitude of its displacement?v,g/48 kwk 5*skyhu(k8 qxf rh

  Three vectors, expressed inq 8e5 25vsx8 z iu;drfebq3l7inll s1*;c7owe 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 coor8gk;z3igoy):f 4cf nm dinates, 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 i2 sfaqgo5 9 r,,tjt)nlt(sak . f,qb:qs the magnitude of vector q9,.ojrb) sl( fntqatt:5q ksg,af,2 C = A - B ?

  A runner runs halfway around a circular 4 opb- fdt3.6 ;hkxwl(q9lublpath of radius 10 m. What is the displacement of the jogg ldqb( 3owh9b-ux6;4lt.fk pler?

  Two forces are acting on an obje67pizdiv/zbar s52h / ct as shown in Fig. below. What is the magnitude of the res/ z i5abv6 hzp2si/7drultant force?

  Two forces are acting on an object as shown in Fig. below. Whj dgykm(/z5z deq88 s(at is the direction of the result/yqsjd ek5z8(g8(m zdant force?

  Vector A is 5.2 cm long and points along the positive x axis. Vector B is 9.a iw 8q/5:ap mxxjam(l*-)a vg3 cm long anq w(gva*:i m)jp-am /8 a5axlxd points at $+47^{\circ}$ 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 55 cm long and poing0n 3vrhs:ld -eazh i+eh. (j1ts at $30^{\circ}$ above the positive x axis. Vector B is 30 cm long
and points along the negative x axis. Vector C is 44 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 25 m/s from thm :2gxra cf2aoi; piky(76:th e edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to (h6at;2 gi p:rikm2fay xoc7: be 3.8 s. What is the height of the cliff?

  A girl throws a rock horizontally, x(l kwsm 4uu;;with a velocity of 13 m/s, from a bridge. It falls 29 m to the water below. Ho su;x(w4u;lkmw far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 3 a.l h)gst3qg*59 vdue0 m above the ground, strikes the ground after ge t59guva 3q* .dl)shtraveling horizontally a distance of 21 m. With what speed was it thrown?

  A jumper in the long-jump goes into the amm6j jdz 3 p3yu;c-3njump with a speed of 12 m/s at an angle of 3j;cy6n 3zjup-mdam3$20^{\circ}$ 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 15 m/s at an anglqe;wmu g(a2 nhst syn+v:(t8.jhf: f o*3d8wve ofw8t(d (jngvfe a2hw:s*:fo;q 38nv. tmyh+ su $30^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 43.3 m/s at an eqdyz+rv)4 ,bangle of $46.4^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 58.8 m/s at an angv1mvodg0 jo)7 mg8ybb 7r. u6kle of $19.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired avm8 2)ir sbi2yt an 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 horizontskd o2(1an6jw hb; z0lally at 26.7 $m/s$ from the roof of a building 46.8 $m$ 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 initi-l+y u 2dnmh.pde8qv8 al speed of 51.1 m/s at an angle2d un h+l.ve8dympq8- of $39.0^{\circ}$ 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-h.0 lno 9r0(v t0hgpfxm race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant he0p(vn tr0.lx9 h f0ohgadwind 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 is i-: +i r5qcvvkr+fmqrz; i 0jf7n a wind of 50.0 m/s to the f-z5m rqc7+vqfv;j0+ki i r:rWest. The plane's speed relative to the ground is

  A plane is flying due Sout hlg5xa +arjs(hjf(mr2).o8 qa0 i fmh-9 r(fzh ($270^{\circ}$) 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 speel0 u.wm bb 2v97q90zdfp gtig0d 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 50.0)p:,m2ka lwbx8:q-gyj jmq7 1ud 1 1 ncf2ycmc m/s in a forwa bcu)c qdnycjj lwmqp: x-11 7m f:2,ykm1g82ard 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 stilyi3i7de q3j5e dbd1* l;8etgc l water is 8.0 m/s, is directed across a river with a current of 6.0 m/s.i1; c7q5el8 tdyb j3d3ie*d eg What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 9 m/s qddo0:445, l smrobn nin still water wishes to travel directly across a river 25rnom s :4l,dq0nb4od.0 km wide in which the current flows at 7.0 m/s. How long will it take to cross the river?

  The driver of a motoryx1* x2sthl/e -c- xfcxr6nl-boat that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the dr1*/-x cx-ryfs tnec-xxll h6 2iver head the boat?

  A swimmer heading directly acroobwjwj:5 i m *-hapm( 1)d3zdyss a river 200 m wide reaches the opposite bank in 6 mi):myh 5bmw31*jd (ozp wiaj -dn 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 wid;sn g(foko)q9e reaches the opposite bank in 6 mink qnfo;g9s )(o 40 s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 0.87 m/s, must aim zd4z 7u9 p;unyqm o v0n)-tm5+ihcsy+upstream at an angle of ztos-5pmz ;d uhnu)+ cm4nv7q09 +yyi$20.2^{\circ}$ (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)  $m/s$