Which one of the following is an example of a vectoseh6bmj0jw kti 2evwo -*66w,r quantity?

  Which of the following operations will not c0kw- g;+9obv+ gv vkkv6 dv8loi1aq0phange a vector?

  Which of the following c/uilly5 s.tq2).q(6o bpwx zis an accurate statement?

  The resultant of two vectors is the smallest when th09 ( yzzepcbz5e angle between them is

  Two displacement vectors have magnitudes of 5.0 m anbe:v yq0ah4+nd 7.0 m, respectively. When these two veen0+qbh v:4y actors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50,/ kpm qa1gk79r are added. Which one of the following is a possible answer/7 q krkpg91ma for the magnitude of the resultant?

  Three forces, each having a mu+kemr-k rhx2 8.a7je agnitude of 30 N, pull on an object in directions that ar x mu+2-k.e7hjr rake8e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown -phg83m* ehi2 7; anm*fsypmtvector is

  Ignoring air resistance, the horizonvr9qticn8 *at+2d . gttal component of a projectile's velocity

  A ball is thrown with a velocity of 2042xi6gf3l sch 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 horizonrjn 4qxvl /:i.vl x*)mtal component of a projectile's accelerationilx)rmv .*jxv/4lq :n

  A soccer ball is kickys-9 t;ab4 qxbzay(/red 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 directed anti-para x)a:g qp4 8du/pvtt+lllel to the velocity vectxpvd:qagl tt 4/+p8) uor,

  If the acceleration of an he-owd6m y5 (f okd; j.jq,b+vobject is always directed perpendicular to its velocity,ky;vj oj6. 5+-ddbm(h,fwe qo

  At what angle should aft+ k57 o(b9ckrcmk 5/pwv.p5cvcl*p water-gun be aimed in order for the water to land with the greatest hk p*f9p7 wcpt mkkcbc 5c v+(.5vo5/rlorizontal range?

  An Olympic athlete throws a javelin at four differ)b(mqi5/ 1m ebj1b 4dvha, uybent angles above the horizontal, e/(mam 1i ybj eb5 ,)4bdbhq1vuach 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 w46 ,1 rmex ex*sf8pwirith twice the velocity it had on your first throw, its horizontal range R (comparfies ,p 8 m6rx41*exwred to your first serve) would be

  A ball is thrown at an original speed of 8.0msyve k0a/on * l12qw6m6qwq*np0b d; 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 reaches itssrobps 1/x i2. maximum height, how does its speed com.2bipr1 xos/spare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a lv,*o g8 tdh;dball is dropped vertd8ohl, v;* tgdically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a y s;p )f1u.vlh/k;t xtsecond bullet is dropped from the same height. Ignore air resistance. Comparsu/;1hvx. ;kptlyft )e the times of fall of the two bullets.

  A plane flying horizontally at adi*n(d3 gmc5 a speed of 89.0 m/s and at an elevation of 215 m drops a package. 6.3 seconds later it drops a second package. How far apart will the two packa(5a ingd c*dm3ges land on the ground?

  A package of supplies is dropped from a plan70/vy0 ahvvf ue, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packages will/vf y70h0 avvu

  A pilot drops a bomb from a plane flying horizontally at a constant spee o/mt ycy,1zg1d. Neglecting air resistance, when theo/ 1tymzyg1c, bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only o )c txf3lli0 s-ha: 2/sljzna;ne-sixth of that on Earth. If you hit a baseball on the Moon with the same effort li zxa-l:)0jasct ;fs 3lh2n /(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 axis relative to a straight, level road i,tq)btn(lkpmf7 s (8and pass a ca 8stlmf,k t)b7pn (q(ir 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 witpgllep tszu,7)q5:hqd9)vjj+m4k 5 c h a strong current. You start out in your motorboat on the east bank desiring to reach thpt5qc :g)p+uzjmsd4l)q 75hvj,kl9 e e 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 mubcel/3 0nvj,wg e3:fgch time will it take you to move 12 km downstream, in a river f3ce/nb3f: gl0g, jvw elowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angl i/nytvweed,* 0kmm1x;.w y8ge of 30 degrees below the +x axis. The y componem/v0.* w,ye8t1iyxwdgnm ; eknt of A is

  If a ball is thrown with a velocitp,vl(4:p/mt zpodn k-y 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 straighf;/9p5j 5u8wcyz qo ght line in a direction north of east and you end up 2.0 km north and several kilometers east. How many deh8o;jfp5 guzyw cq5/9grees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The bmui + (a:ipl ynfpa **nff368j2yc2x x component of its velocity is 8.00 m/s. The angle between the direction of its motion and thf*na* 3y: clb28mau f6py(f2iji nx+ pe x axis must be

  A 400-m tall tower casts a 600-m l68 i8qi8 fvam noste9yh:* sm7ong shadow over a level ground. At what angle is the Sun elevated above the horizi y8fi mn:8a9o6vmqt8sshe7* on?

  Two vectors A and B hknbdf 04l6 a f,xdf(igl;.,jtave components (0, 1) and (-1, 3), respectively. What are the co46kd jig fd,t(bla fn;f.0xl, mponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), i0 -y.0kg v4l7nyd;4jcab ted respectively. What is magnitu 7a;jy-yk bl4e0ic.g4 dtv0dn de of the sum of these two vectors?

  Vector A = (1, 3). Veexu( m -:tqvym.l,/ot/p (gh snyt5+ector B = (3, 0). Vector C = A + B . What is the magnitudet/+,(gt(oe/- ey pm5 .xmvh :uln ytsq of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its dib6ddkcyv+k4-k ejn8nbs1*-jf t1+tg - il t6rsplackkd + 16i te 1b-lrn-*d6jnck4-gtjtyvs8+bfement?

  Three vectors, expressed in Cartesiauoy t4( h0aix-n 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, expres 5kcu mpwv6-alx 99)lbsed in 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 txx 6m.s:icya9 he magnitude of vector C = A xxmiy 6c .:9as- B ?

  A runner runs halfway around a circular paszmjosmrhk*6cw i8 z+ldn,39kv 5.: nth of radius 10 m. What is the displacemek5nhmmj,6 snc k3o+l*zz .wsvr9 di8:nt of the jogger?

  Two forces are acting on an object as shown in Fig. below. e 7 5hxp+.l3yc q6zfst *.dikoWhat is the magnitude of the resultant+tc p e*h iq.l7zys 6ox3d.5fk force?

  Two forces are acting on ax+adtl m,7v -pqm j3)tl+5mhvn object as shown in Fig. below. What is the direction om h qm-+l+ ljt3xvm)tp vd5a7,f the resultant force?

  Vector A is 5.8 cm long and points along the positive x axis. Vector 16 8zdbev6y2)wztwue B is 5.2 cm long and po1 )zveuzbe6wyw 2d8t6 ints at $+46^{\circ}$ 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 89 cm long ab6 s+n7xmgw,p4z oii5nd points at $30^{\circ}$ above the positive x axis. Vector B is 24 cm long
and points along the negative x axis. Vector C is 22 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 anm*xzjww ak1em0;tf:64n izi4 initial speed of 13 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to ti4*40mixk1n z;ajtezw:f 6w mhe bottom to be 3.4 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a v) ::lw ivlhrw 4mc-eiy,kq 67helocity of 14 m/s, from a bridge. It falls 26 m to the water below. How far does the rock travel horizont w4h )km7iqwile,-rl y ch:v:6ally before striking the water?

  A ball thrown horizontally from a point 28 m above the grj( oe- 3fyo(-m 2yjf2awhk e*gound, strikes the ground after traveling horizontally a distance of 19 m. With wha awo2ym-g2e(o (- e3fjjky* fht speed was it thrown?

  A jumper in the long-jum bo- vlj(m.cv)0je/md p goes into the jump with a speed of 12 m/s at an angle of /)d v mb.(oml0-jvecj$20^{\circ}$ 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 wiep ;qou1kys -5v+ so+fth a speed of 13 m/s at an angle of 5o 1q eyusof; k+sp+v-$16^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 51.2 m/s at o pi1;s y:tg yjl5x66z2b6f(nwfrr6man angle of $12.7^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an: rs h c,25)*ulpi0.kq,axwx ew3n hg k(5fked initial velocity of 56.8 m/s at an angle of $22.7^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ang k )fm4arznd:,+z ;ly ki2uujhj5zq ,*le 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 21.43*k7doxobijusv30r29-n abn $m/s$ from the roof of a building 44.2 $m$ 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 inm 1lh*m(emaem 3ecp b ,.r2wo**dxl h7itial speed of 46.9 m/s at an angle ofd*ce*3m(her2mmahpm, llw. 1 bo ex*7 $38.7^{\circ}$ 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), 9d39qb rut9imyou can run a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed 9 iq r99utmb3dby 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed ooh*v,nislizurjt) 978 oniqo kf,xt:)x/n2 5f 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed reo7 f v)tso*lk,z9j,):5x ni/ tni u8 2oqnixhrlative to the ground is

  A plane is flying due Sonqz6rtzp;pln,s 3doj( /j) /zuth ($270^{\circ}$) 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 hwohtxaz h6 .z 0xbfv;/3.ls x-eaded $30.0^{\circ}$ 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 50hq4- sc8h,a3vclzuaoh .4 )cn .0 m/s in a f4h3 hn8qsavaho.-,l 4 uz cc)corward 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 acrosvvebmp *3fl.+.rxt y0 s a river with a current of 6.0 m/s. What is the speed of the boat asmf+bt0yv *r3l.p vex. it crosses the river?

  The driver of a motorboat that can move at 12 m/s in sti u-b *cxbu-;3p v2wwfvf7,e ghll water wishes to travel directly across a river 0.9 km wide in which the current flows at 4.1 m/s. How long will it take to cross thb- 3p-f2xg eucv*fvub7,w;w he river?

  The driver of a motorboat that can move at 10 m/f nha9sb(r( (1 8bq/ya-q iuips in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/(yihnqa(8(9f b1u pirbaq/ - ss. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite bana/gh-inf)7sl x ) ; shqx/5cr,zvi*pm 2y:mn xk in 6 min ixfx2s;c/l7a in*x,: ) rns)qmhzy vpmg- h5 /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 reaches ((isx a7s7co ythe opposite bank in 6 min 40 s. She is swept downstream 480 m. W a7( cssy7o(xihat is the speed of the current?

  A boat, whose speed in still water is 2.05 m/s, 8r,zbfkv0 j-futq /f 3must aim upstream at an angle of b ,k8rf3t-/0 fquf zjv$19.5^{\circ}$ (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)  $m/s$