Which one of the following is an example of a vector quantityfhm rh + lwtni/1-paky/ 5r63w?

  Which of the following2mzuop0 z- 5/d0kip.fsoxkl fj dok 47n*uj./ operations will not change a vector?

  Which of the following is an accurate statement ,x7)b(gwgusb2qlmx/4rh2v18h m zo hcoj*b :?

  The resultant of two vectors is the s2urr: /cbyh2xe +g(zj mallest when the angle between them is

  Two displacement vecto2 kk) zao+rga6rs have magnitudes of 5.0 m and 7.0 m, respectively. When these two vect6 +aor)gaz kk2ors are added, the magnitude of the sum

  Two vectors, of magnz z25z :9xuajqitudes 20 and 50, are added. Which one of the following is a possible answer for the magnitudz z9jaqux5: 2ze of the resultant?

  Three forces, each having a magnitude offzo7,lutng ( c;e5i: f 30 N, pull on an object in directions that lgfn ;:z7t5eo(u,c fiare $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, tyiw94 yaob5 bz,xc a;0he unknown vector is

  Ignoring air resistance, the horqmu uen41/k m745rd mvizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an ang0tb1i bp8xmi*7 + wdbyle 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 compone1v4zo2(swk,6r lrho ur 3+ gonnt of a projectile's acceleration1+zr6r4l3, v won(sr2okohg u

  A soccer ball is kicked with a velocity of +x7, cvs(r k5lmlpo5 x25 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 ah58p* 2weuzk8ve+xqnnti-parallel to the velocitq+uwekpnz52h 8x8e*v y vector,

  If the acceleration of an object is always directed per4s dhf7d 6mgk9pendicular to its velocity, 46dfsmh9d7kg

  At what angle should a water-gun be aimed in order for the water to land u(ufh. h:0dbcw ,fyp yj1v +g/with the greatest horizontal rangevhbpwu.+j0(f:1gy u/hfc yd ,?

  An Olympic athlete throws a javelin at 6ia,bu fq6 f6gfour different angles above the horizontal, each with the same,6 6bi fgfauq6 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. Ifg csz54mep*jhxb7v vz-/ nv6*k9e(zb the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared tok ( 9 v*v674bmvbe/s-z hz*5cgzx penj your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle ofd3ybt23yx .-aw,e 0zkzfj j (u $35^{\circ}$ 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 ats* dw6ix(;xij9 p-xrk; g kl0atempt reaches its maximum height, how does its speed co ; axi(p0i kw;jlkg-s9*dx6rxmpare to its initial speed?

  A stone is thrown horizontally from the top og3rp46qk49aoyrz q6 w f a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the levepkz oaqg346 4wr 9yqr6l ground below?

  A bullet is fired horizontally, and at the same instant a s + vrwfo1kofd61+dy2poebwb*; (-gg iecond bullet is dropped from the same height. Ignore air resistance. Compare the times of falobr- e gikf+p(w *odgobyw vf1126d;+l of the two bullets.

  A plane flying horizontally at a speed of 88.9 m/s and at an elevation of f)**iazata,,vvo(v 2lnth-n292 m drops a package. 2.9 seconds later it drops a second pafv-v2)t*, zn *ivlt ,nohaa (ackage. How far apart will the two packages land on the ground?

  A package of suppliesq*)(*urf zhh;u 2lx sd is dropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance bxzduq)*sfh u(h *r;2 letween the falling packages will

  A pilot drops a bomb froth 3t1 l7uo8: ahbhe9vm a plane flying horizontally at a constant speed. Neglecting air resistancht:ehb8 a79ohlt3v 1ue, 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 that on Eart ao1*/0/1-gxr kukb7t k/atmdn eu9mmh. If you hit a baseball on the Moon with the sam 9ro mgm/ 1k0b tamt-7ukau/x*kdn1/e e effort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling at 5sl .uy47hlljca c 7k/s:*i0ys5 mi/h in the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. *7yc:i l.s7/4 0lj hyuls kasc The relative velocity of your car to the other car is

  You are trying to cross a river that flow24 zu73btxu7jt jwwh 9s due south with a strong current. You start out in your motorboat on97 j uxt7wzbt hu24w3j 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 km/h in still water. How much time will it take 9k);eltb z m5zyou to move 12 km downstream, in a river fl m 5kb)9ztelz;owing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axisefx8j.s:lg/vfv x g f(r*9j 9xt*gs1d. The y component ofe(ts: x/s9 jvxj * gg1rdgvlf8*xf.f9 A is

  If a ball is thrown with a velocity of 25 m/s at an angle of vmn8zlr)jr)mod*p 27 $37^{\circ}$ 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 yhwsnl )vg 36 rten *tjmv204s)ou end up 2.0 km north and several kiln 4t)6 ssvenlmg)h 0vrj2*3twometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12. oj36 7yjjzfc(0 m/s. The x component of its velocity is 8.00 mc6oyjj7z 3jf( /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 shadow over a level ground. At what an a-p: xnei 3jms22m(jlgle i j3 ajnml2-sim2p( :exs the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivelyy3hgl nj1lr 00. What are the components of the sum of these two vectorglly 13r0 hn0js?

  Two vectors A and B have components (0, 1) and (-1, 3), respecteb;,lk r ,j-yq*bfv 38 wpk-lbively. What is magnitude of the sum of these two vec*- qrblk3le bjyb,- wpf8v;k,tors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + Bl0am: vhpe kt 53aqr5, . What is the magnitude o lqam35te0h, 5kvpar:f C ?

  A car travels 20 km West,pl8u5uskrg) 2 then 20 km South. What is the magnitude of its displacement?r)5l 8guk p2us

  Three vectors, expressed in Cartesian coordinatee6fn,ydom d* f t*ueh/gy6.wol3vq22 s, 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 u+m8*e wde/*tn 3rzxfCartesian 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 vec raq3*scj-v,xtor B = (+3.0, -8.0), what is the magnitude of vx-sq3r ,cv*aj ector C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What isj y i46biu+*rq the displaceme*qbyri+ji 64 unt of the jogger?

  Two forces are acting on an object 1b6w3tddgzs a s7;qy9 as shown in Fig. below. What is the magnitude of the t wsbqay9; g31 6zdd7sresultant force?

  Two forces are acting on an object as shown in Fig. below. What is t *ta(gnyu j(kw;aopg31r y6j9 -utrz*z c9w7 she direction a6t9s w* c1 zyuo7 9*y3(gjr(nraj;gzt -upwkof the resultant force?

  Vector A is 5.8 cm long and points along the positive x axis. Vector B is 8.afae d--v/(7g up-t vi8 cmu7e fpd/-t(ai -avgv - long and points at $+20^{\circ}$ 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 88 cm long and points )u s+c.yg oj.oat $30^{\circ}$ above the positive x axis. Vector B is 24 cm long
and points along the negative x axis. Vector C is 33 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 anqfj*8mybw8a,f pc 61o initial speed of 24 m/s from the edge of a cliff. A stop watch measures the stone's trajeco8,8cq bj1m aff6*y wptory time from the top of the cliff to the bottom to be 2.7 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a veloci34wagejw 1/q ckka - io5 rtl/gw1o2s3ty of 19 m/s, from a bridge. It falls 17 m to the water below. How far doek s4iqc /rejaw-a3 ogowl11wk3/2gt5s the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point2 zi m dzpo(*8g. 8phwu+gnm0*l1gkpq 28 m above the ground, strikes the ground after traveling horizontally a distance of 15 m. With what splz(ngp8.*2pwo uz dg8pgmi*mh+01 q k eed was it thrown?

  A jumper in the long-jump goes into the jump with a spe4z -fhyqgn:k)3jgj4il, )g d sed of 12 m/s at an angle offjd zy gn3g :4h,iskjglq)) 4- $20^{\circ}$ 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 k9 ,p4 mvccstx7f v4ah- v0e8qat an angle 49 ca,c q hf8 v-x4pkv0s7mvetof $29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 41.vrww;+(uv r no;t 3we76 m/s at an angle of $21.1^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 24.9 m/s at an angle of xlr u+ z:wfch3* (7gcy;wf)j e$27.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an an6r 32jso1,xhsh p9 vhfgle 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 24. 2jr p icon.03ylqp) nl+ej95y7 $m/s$ from the roof of a building 35.3 $m$ 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 witss,4wa2p .hnah an initial speed of 64.8 m/s at an angl2,.sanhpa w s4e of $46.1^{\circ}$ 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 velocityb;rg8t;ve 5 wn mqz3e1 of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slowsrew5gtv 1e;m q ;38nzb 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 in a wind of 50.0 m/s tz1/; hx/kondu o the West. The plane's speedkzh;n/ 1oud x/ relative to the ground is

  A plane is flying duplxe z 1)hen::e South ($270^{\circ}$) 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 is hud.tm7j9 dqk 6eaded $30.0^{\circ}$ 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 projecti 78iwff08 /sjc; pwmbhle with speed 50.0 m/s in a forward directf8ifbjm h wwc;s0/p 78ion $30.0^{\circ}$ 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 /55f zde4i jbuz3mu9 bis 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the river?/3 bd bf5uij4z 95uzme

  The driver of a motorboat that can move at 15 m/s in m(lga5 t56gm)6ue9 nq7ieissstill water wishes to travel di9ig5asq6 un7s65teie )mml(grectly across a river 1.0 km wide in which the current flows at 3.8 m/s. How long will it take to cross the river?

  The driver of a motorboat t5-*hw1thr mu nhat can move at 10 m/s in still water wishes to travel directly across a narrow strait in whict5mu1n hh-r *wh 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 opposite b)3+a 2zm cey76hqnhpdank in 6 min 40 s. She is swept downstream 480 m. How fan+2pz37dea6qcm yh)h st can she swim in still water?

  A swimmer heading directly across a river 200 m wide reachmk, w 3 r(6d3y,3f zhq8zijmzaes the opposite bank in 6 min 40 s. She is swept downstream 480 m. zjqz, d,a fki3( w63 rmzmy38h What is the speed of the current?

  A boat, whose speed in still water is 1.89 m/s, must aim upstream at actyk81x/4cdox(3d-5c sgj) l yg/x9 vs4hpi e n angle of kc14cjpl / e 4(9xy t53)8csxx igvd-d/hgyos$12.2^{\circ}$ (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)  $m/s$