Which one of the following is an example of a v01m ;4;eczsoc kq;gy os5; ibsector quantity?

  Which of the following operations will not change a05;j:c :7*fxdm qfx eoq*0sc*qy rxrv vector?

  Which of the following9+j6 w czjz3j ms-kit2 is an accurate statement?

  The resultant of two vectors is the sma 6b)tus r5uhf1llest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 z9j k4*yw;6a5tof;li-hvxap* 9 gs ij m and 7.0 m, respectively. When these two vectors ar 6459tov *y ;spl;kj-gzif*h xaaiw9je added, the magnitude of the sum

  Two vectors, of magnitudes 20 an qbx wy,+3812mfnfre hbstj 8be e;vq87lc4x;d 50, are added. Which one of the following is a possible answer for the c; qbvbw1+273sljbth exfy xmqe;488e,n rf8magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull s*xhz5 vzkyapr ,qg--j1,z z-on an object in directions that*,5js,xqr gpa1z-zzh -k z -vy are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vec g+,k e0ni84 +peajkzy(;aadhtor is

  Ignoring air resistance, the horizontal component of a projectile's vbcn1j1hyejgyv(5g5 - elocity

  A ball is thrown with ar tgn r fi25m)y9e0ws0 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, t- nr6xpcms.o- he horizontal component of a projectile's accelerationn- .r spxm-co6

  A soccer ball is kicked with fn2ezo5d(jo30jo/ y/ q a et6wd1jvl*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 velle ,jyf wt;p1e.ydh3zap; f r8nwf+26ocit8 fpwe.te6dp,+aryzf2n1l 3yw;; hf j y vector,

  If the acceleration of an object is always directed perpendicular to its veloliu)g +6zq d5v9,u.8onmqh6 grbg (chcityn,+h9gbvhrd 6g)l qc6z5.gmui8q uo(,

  At what angle should a water-gun bev*zj 4hf2wiy, aimed in order for the water to land with the greatest hori vwf* zhj,24yizontal range?

  An Olympic athlete throws a javelin at four different angles above the horz /dob hc-s(e+8dap+uizontal, each d8c-(+as+uzbp/d oeh 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 z,( bl lj: jsua-ct(;byour hand with twice the velocity it had on your fibz:uj-bslc( j;a t,l( rst 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 an 7i+:or hy*gp 1-dv/ nwgn,r ifx7gz0s 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 maximumt9pxbaa*+fv s* ,2kkh height, how does its speed compare to its initial spee hs a2xpbt*+,fkv*9akd?

  A stone is thrown horizontally from the top of a tower at the same.; -gujgb(tm l7hwox / instant a ball is dropped vertically. h;-w/ bjxuol.7m(gtg Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizont.m*-9f e3 7ope+3sdbhjdgzm d ally, and at the same instant a second bullet is dropped from the same height. Ignore air regj-ze3m3oddh7+f.b* m peds9 sistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 103.7 m/s z fjc2 jzcy) vmj e,r;egvy2*j*6ucc296xp3qand at an elevation of 230 m dropx zg2rzc fvp*uj 6v3cm 96j)2c qeyejy; *cj,2s a package. 3.0 seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of suppliesq/x(zt.vmel . is dropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the dista(tq.l .ez/xm vnce between the falling packages will

  A pilot drops a bomb fr 8eb ynb157cfeom a plane flying horizontally at a constant speed. Neglecting air resistance, when tb78 cy 5befen1he bomb hits the ground the horizontal location of the plane will

  The acceleration of grabk- 5vchoy e+ ;xs hstu:c279nvity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Eauc;5b:noh vtxs-29 esy +hk7crth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level zpuk(15-pin( wvkw s0road and pass a5wzs((0 -u1kin kvppw car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a rive9 zh1 9af 8quw;gzva*sr that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your sh9z uqsfw9g* a1avz ;8tarting point. You should head your motorboat

  Your motorboat can move at 3klp1) tqkzh6 t77rgu6zi54 lo0 km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6. 7q6i1l 7hrtkk56tu gpzloz )40 km/h?

  Vector A has magnitude 8.0 m at an*ti 1y2o9, ostloto k,v+e. uc angle of 30 degrees below the +x axis. The y component of tvkct,i9 ,oy t1 o*.+esol2uo A is

  If a ball is thrown with a velocity of bf8t6x2o nkl:5ga4 p5/ veyrk25 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)wxfv+w cnekpq2)-w1(7 *li ou nboz* direction north of east and you end up 2.0 km north and several kilometers east. How many degrees )w*wwfcn1n pbuoeq+zlo - (*vkx2 7)inorth of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity is 8 zmv: k*ktcj66.00 m/s. The angle between the direction of its mot 6c jk6mkv:*ztion and the x axis must be

  A 400-m tall tower casts a wxk3zt, o c2k8600-m long shadow over a level ground. At what angle is the Sun elevated above the horizon?wx kc,83o2zt k

  Two vectors A and B have components (0, 1) and (-1, 3), restp. 8x4+wgk15ys z;z 4tl4qhmfepz; v +7f uhlpectively. What are the components of the sum of these two vzm ufvg5;qtzlwh .+4;8l1f7+tpp4ysz ehx 4 kectors?

  Two vectors A and B have components (0, 1) and 0 mwhl jx7lb;s 98j1 lg:dezt((-1, 3), respectively. What is magn987; mb dslejz tl:wh0 lx(1jgitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is thlpljz5jfyt /,5g v)mcpyb/.xsa;:d ;e magnitude of C /ltj/.fv)xz;;yp ml:ajd , cgb 5 5pys?

  A car travels 20 km West, then 20 km South. What is the magnitude of its disuu3 :15 a) s3l6z yszarohfme5plac lsz a 3s5f)1yem u6z3:a5uhroement?

  Three vectors, expressed in Car:e / nvhz*t-dvtesian 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 xqc7tliid99: 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), wp6 d i7gnps mky 30*j3j1nfpv+hat is the magnitude of vect33ifp70jp6jmkns1* pg+ d yv nor C = A - B ?

  A runner runs halfway around a circular path of 5;3w ;projjmx;,0xlm+ pgu ke radius 10 m. What is the displacx;xomk pr50uj;g ,wpj+;3 melement of the jogger?

  Two forces are acting on an object as shown in Figuayx- 9 nt 0ybm41:67mx7mzptuj 5jk y. below. What is the magnitude of the rym t kj- 9xu16 pnut0zyj7a47xm:my b5esultant force?

  Two forces are acting on an object as shown in Fig. below. Whl asqhp* )q/r4at is the direction of the resultant a*s rhpql/4 q)force?

  Vector A is 4.2 cm long anc( 2y36ax7ewy7lhoz jj w)0u xd points along the positive x axis. Vector B is 8.7 cm long and points at wx 7 jojely x3uhw670(z) 2acy$+50^{\circ}$ 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 71 cm long and poks1h;i;o;+0leo3ck w9f(vby o-t.z6iuvuta ints at $30^{\circ}$ above the positive x axis. Vector B is 28 cm long
and points along the negative x axis. Vector C is 35 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 horizontal1*-mnxaqv 9la- s7yctmptv y9 j71em e0iv0:hly with an initial speed of 17 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. Whj0ce 0i py q*ly7-vmhm:1n -9m1t7v9 esxtavaat is the height of the cliff?

  A girl throws a rock horizontally, with a ve 8l(l(jkmlvp6 23uznulocity of 6 m/s, from a bridge. It fallspzk 2(uujv (l68nlml3 26 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 27 m lqg 9 : uw9t(;o0u1up65tkl.fw5 h2 xg vbvbreabove the ground, strikes the ground after travelin q1ltut e:9;b0uxvgwv2. w6r fukbg5 o(9lp5hg horizontally a distance of 19 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spe9ekgm7055 s dzcrlp4zed of 12 m/s at an angle gk7cz4 se9pr0 5mzd l5of $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes intots )rh1bys ;;mv ugz/6 the jump with a speed of 9 m/s at an angle of;/r1yvsm s )bhu6 zg;t $17^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wijt97vdpgmrlox4 037xth an initial velocity of 21.1 m/s at an angle of $35.9^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocitnu d nm+4s(-gpy of 51.6 m/s at an angle of $12.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired atnzu )t 9b+ost3 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 horizontally atk*yfqi3 ;yeab /3 q:a)dcpo(z 21.4 $m/s$ from the roof of a building 36.2 $m$ 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 w+*wxo u 60grklith an initial speed of 51.1 m/s at an a6 ul*gx0+wok rngle of $39.7^{\circ}$ 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), you can run a 1500-m race at a velocitywd6nxu (9( jyj of 4.0 m/s. If you ran the same ra(xw jdy6n(9 juce on 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 North, and is in a wind of 50.0 mc01/yt2e 8sf ms/s ndr/s to the West. The plane's speed resstnc/my2f1e0r d s/ 8lative to the ground is

  A plane is flying due Soutyxsnx bz ts-: x*67:krh ($270^{\circ}$) 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 v 75xno 1ct.y, hfspcrn0 a6u3of 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 spik4jngbo /+ meee13+ceed 50.0 m/s3j c ng1+/ike 4mbeoe+ 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 inymd+ hdm 6 l1y:-kpan9 still water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the pdklyy a: mm69 n1-+hdboat as it crosses the river?

  The driver of a motorboat that can move at 17 m/s in s;ea kxgj 70+latill water wishes to travel directly across a river jalga 0x+ek;7 1.0 km wide in which the current flows at 5.9 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 to trehu-m h,8 jeki4d*z 5g0kvuv4 avel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver h ug*-euk4 ievd,h4z0j8km 5 vhead the boat?

  A swimmer heading directly across a river 200 m wide reacx(t pbi(kd( 2qhes the opposite bank in 6 min 40 s. She is swtqx((i( pkd2bept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 ma1ul2jkk t +*k wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the t+ jkk*alk2u1current?

  A boat, whose speed in still water is 1.89 m/s, must aim upstream at an pg( x9h2akcr2 angle ofrp hgc k92a2(x $19.3^{\circ}$ (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)  $m/s$