Which one of the following is an ex0kinr7e80si z:k v +rvample of a vector quantity?

  Which of the following operatioo h4cfngj87(o ns will not change a vector?

  Which of the following is an+5etb.qzf2xk krt jg6 s x-(.v accurate statement?

  The resultant of two vectors is the smal -btg1r e6qmzpns()kyhi 43t.lest when the angle between them is

  Two displacement vectors have magnitudes of 5.04wjulz tks :1ln)gxm 5 9yf))f m and 7.0 m, respectively. When these two vectors a9fj)54unfgy:zml)1xt) wlskre added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Whi-;t( ximcbvzd m2 m.m64.e warch one of the following is a possible answer for the magnitude of the resultantm bw6mv;4-r(.ci2 zam e.mx td?

  Three forces, each having a magnitude of 30 N, pull on an objectqx7t9-bxv p 1nl(u.g x in directions thatxx(1 lu vbtpx97.-gqn are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the uk e64tze;-db anknown vector is

  Ignoring air resistance, the horizontal component n 2chp8ihu* byuj 3u(p6wmue7lde5 rt --0ch4of a projectile's velocity

  A ball is thrown with a fay3f-f4bf 1(lng4wx velocity of 20 m/s 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 component of a projectile's a0vp n n0-medar kcm138ccelerationdkn3m ce0-80 vn m1rpa

  A soccer ball is kicked with a velocity o**erf il8ox siop *o6,f 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 acwee f4-pql)uv tj9:j 9ux rb 790a2aanti-parallel to the velocity vet leauj fc2 0vqrw)j9p 94eub-x97aa :ctor,

  If the acceleration of an q7mn-q 64ww scobject is always directed perpendicular to its velocit4s 6nm cq7-qwwy,

  At what angle should a water-gun be aimed in order for the k4y,.rju q6jsjs, y 0ewater to land with the greatest j kujyq46r ,j.0s,ysehorizontal range?

  An Olympic athlete throws a javelin at four 1w3 rm46loshu different angles above the horizontal, em6 4o wlshu13rach 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 td,/j -axg** wphup*i gs fy*(e6*ltyleaves your hand with twice the velocity it had on your ,jp*xsghti*6-twu elf g *ad*/py (y*first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at +k5 n,5k1/i yfqk r,jq w1lzbxan 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 doecpus3- ov p darrc1;7idr(9; ys its speed compare to its i31d r7;cc i;a9uvrrp s-dyop(nitial speed?

  A stone is thrown horizontally from thyaj gg+sv)b 6/aai8 :/tln r3fe top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits talibat6g+/: a/ys3v 8f gj)rn he level ground below?

  A bullet is fired horizontally, a/bel )81thxt c2bzm0mnd at the same instant a second bullet is dropped from the samezc28)lbm/ bt1e mt0x h height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a spe*2fc1atd u34 vzhub3z ed of 115.0 m/s and at an elevation of 215 m drops a package. 4.4 seconds later it drops a second package. How far apart will the two packages lauu2h3zvf*t z4d 3 ca1bnd on the ground?

  A package of supplies -gy)t pfe,h wdx:w d m*1:xi(uis dropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packg:dhdtu ,(-)p y i*xf:emw1w xages will

  A pilot drops a bomb from a plane flyineous1t+1sxl5 yy r6e+ g horizontally at a constant speed. Neglecting air resistance, when the bomb t1ue+y6 ylsse5o1xr+ hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Eartxmb7xnwjhvi: 3kx986h. If you hit a baseball on the Moon witj w8xbxhx93v m:6nk7i h 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 thxom :vb be78fkz)yb7 )e +x axis relative to a straight, level road anz x)bvmb 7kb8fy e7o:)d pass a 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 fl a:dtv(ki6*btows due south with a strong current. You start out in your motorboat on the east bank detv:( *6biatdksiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move a c mj;ypvap1;2t 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river fl;1mjpa y ;p2vcowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an anglm891 0gvbuo pse of 30 degrees below the +x axis. The y compone9o v 1sbm80pugnt of A is

  If a ball is thrown with a veloci0phtd/5q 3 seity 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 straibxr,6))xwt8z g j mi /dx4vy86z)gprpght line in a direction north of east and you end up 2.0 km north and several kilometers east. How majgx8i)/ 8yppw6xgt,6vz x4 ))rdmbzrny degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component+tmt4*kjk -ihb*yp 0d of its velocity is 8htim4 *+b- kdtjyk0p*.00 m/s. The angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadt/l9fho 2;mwbv uv+4qow over a level ground. At what angle is the t/4fv;lo 9+mhqv uw2b Sun elevated above the horizon?

  Two vectors A and B have components (0js+2m2ezwi m52ixu w* , 1) and (-1, 3), respectively. What are the cwix wjmm2s+iez22u5 *omponents of the sum of these two vectors?

  Two vectors A and B have comr f-s j4fvs 64dep6af9ponents (0, 1) and (-1, 3), respectively. What is magnitude of the 9f4svrefpsj46f a-d 6 sum of these two vectors?

  Vector A = (1, 3). Vector B xcf mh.4l;gt6wxs- c-= (3, 0). Vector C = A + B . What is the magnitude of Cx6 g.-l ;mhxtcw4- cfs ?

  A car travels 20 km West, ,4wzsx 6.jepo then 20 km South. What is the magnitude of its displacement? wj,sope6x.4z

  Three vectors, expressed i1yf.- qt.)zh s au5*k bm-cxhmgci.j1n 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 i.fu alkz62ito 2f-f4h n Cartesian 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 is ph ;4d y/d0me4r (mr/es(zleb the magnitude of vect; prbme /4(ee0 /ymd( hz4sdrlor C = A - B ?

  A runner runs halfway around a circular path of7gehi0 th6:;s :f.pjdwqxpjj92b8 t l radius 10 m. What is the displacement ofqjw7 hle.p0d 2gtjs p6;f:htj9xb8 :i the jogger?

  Two forces are acting on an object as shown in Fig. befcvu)pe656sa low. What is the magnitude of the resultant5ve 6sau 6f)pc force?

  Two forces are acting on an objeizvyt,h (bra* ; *d2mpct as shown in Fig. below. What is the direction b im ,z2;arp*(t*v yhdof the resultant force?

  Vector A is 3.5 cm long and points along the pos,p jmwb 53xyj;itive x axis. Vector B is 7.3 cm lx, 5;bw 3jjpymong and points at $+60^{\circ}$ 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 67 cm long and 0 fm9erij +1dwh g/lwkd5; :mdv,qb +fpoints at $30^{\circ}$ above the positive x axis. Vector B is 26 cm long
and points along the negative x axis. Vector C is 45 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 28 m/s from the edge of wg-,:+hp4 awnts b *mxa cliff. A st4hwx n*wtsab g+p-:m,op watch measures the stone's trajectory time from the top of the cliff to the bottom to be 3.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity o.huteuc)wlw n dd3fij;d 1odr2up*7 3- o c65lf 14 m/s, from a bridge. It falls 25 m to the water below. How far does the rock travel horizontally before striking the water lu*t7du ) wh5-3.f1ndpocce u6d3jwi ;o2dl r?

  A ball thrown horizontally from a point 2qa*r* m+yyg-sn6h-dbuxv p .3 7 m above the ground, strikes the ground u3 ys-.am6xnqpr+hy*v-dg *bafter traveling horizontally a distance of 21 m. With what speed was it thrown?

  A jumper in the long-jump goes im(tzk0ar0qdeef3.b p..9 enento the jump with a speed of 12 m/s at an angle ofk.9. 3n(r.tfe z d0aqe0b peem $20^{\circ}$ 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 4m xb(b.oqaf./ eafo .with a speed of 14 m/s at an angle oqa4b mx /(fo..fob.ae f $32^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 54.9 m/zj 3 qv5ihnl)i-1+.fa ftp8fc s at an angle of $27.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocne6 rn0d25s; ukgfid1ity of 44.4 m/s at an angle of $18.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fir.xv9fva*,dhow.cr6l 89bk/ pj /husf ed at 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 hb ;k2wvf uz26worizontally at 22.5 $m/s$ from the roof of a building 39.7 $m$ 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 initial speed of 51.0 m/s at an ncng8k, v :0saangl c:8sgknavn0 ,e of $37.4^{\circ}$ 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 ayq//1;xhcxqwzuyn0 -p.n,e e 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day/q e/z c-qepwnn1,yh0x;y u x. 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 200b7; hzl0xlxd:awawk l7z s1y/+3-y dx m/s due North, and is in a wind of 50.0 m/s to the West.lys 1 ww;ay bzx0k7x:-d3d zhl/l+ ax7 The plane's speed relative to the ground is

  A plane is flying due South (rjizc; u*28p/+h pgwh$270^{\circ}$) 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 speczcm0 w 4-3d9tm0mek tou+*rbed 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 hyomcf*v7;bocf0 j2-q orizontally fires a projectile with speed 50.0 m/s in a forwaco7bv;fj0*ofq2 cy-m rd 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 across a riveo(wl q 4ban pf2ab0-ht +4at4fr with a current of 6.0 m/s. What is the speed of the boat as it crosses t4wqna2f l(0hp fo4 a+b4a-btthe river?

  The driver of a motorboat that c3akvn7: cz uqx nj +(8r-or19 zh*lsfran move at 14 m/s in still water wishes to travel directly across a river 1.0 km wide in which the current flowk(r:nlu+1z9 3raxrsc*qzj 8 -ohf vn7s at 6.6 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 water wishes ;n ll)t8l z*u94bl pwywkja83 to travel directll;3)lawyb pk n 9 zltw8*8l4juy 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 szms4))36zb nqwyop 9 u/ 6ayjm yp)6qm wide reaches the opposite bank in 6 min 40 s. She is swept downszaso6nyppm4u)q)/b q6 ym 9z3)j6 wsytream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide react3 pxu6 4gl0bghes the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the curre gpbg34 u60txlnt?

  A boat, whose speed in still water is 1.19 m/s, must aim upstream at : *7bngj r9hdman angle of b9* gjmhr7:nd $25.6^{\circ}$ (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)  $m/s$