Which one of the following is an example oyj :s4ow).se jf a vector quantity?

  Which of the following operations will not change a ve* hckw h2 j*c:zg;q0wnctor?

  Which of the following is an accup7ip1u qb,,2 ki/bh .ksh w;rc:h3gvyrate statement?

  The resultant of two vectors is the smallest ;qo-ie7ja 3j9c sx,ypwhen the angle between them is

  Two displacement vectors hae -g7i/ec. rqhuf87drve magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the mau f. h7d87ge i-qcrre/gnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the followiuqlmi /ce:3gjf mc) id3g-18rng is a possibe3 ilc-qj8fg/1r3i)d u g mmc:le answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an obv:-nof 6k2j,9yldi-df *h irtject in directions thfikido jh9f-n:,vty d 62*rl-at are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectoy-.s-z6fllu s,r,z d-chdu r6 r is

  Ignoring air resista95mgr 0ta4rm rgv7nq -v57jgince, the horizontal component of a projectile's velocity

  A ball is thrown with a velocityoi z g:r84*och 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 horizonaj5g h5 ,wtd;etal component of a projectile's acceleration dja,; 5hg5etw

  A soccer ball is kicked with a velocity of 25 m/s at a47 ;sxlusa 3.w+ ba:0/gmktscb,fugnn 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 /xec 60jmqd2kev;yy;im:gb / anti-parallel to the velocity2y;gj vike/b6x0 mq:me/dy;c vector,

  If the acceleration of an object is always directedpgl4 x g.+rn2ycti/5vs); rmt perpendicular to its velocity, lgm+ivxys54crt2 rpg/t. );n

  At what angle should a water-gun be aimed in order fk1rzh i6 li;dp0k3vlrc0. gr4 or the water to land with the grea6ll0p43d cvgr . 1ri;h ikzrk0test horizontal range?

  An Olympic athlete throws a javelin at four di3y*-i u6zhrnes+4 oorfferent angles above the horizontal, each with ther y6os4u*nzo r i+h3-e 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 the2uujr1qkrgh)7w ji7 7 ball leaves your hand with twice the r2 w jr1gk7)uuj7 7hiqvelocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at - r:yax:b8qcxan original speed of 8.0 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 its maximum height, how does ,9biul* ,iu ackhfi04its speed compare to its initial speia4 cuu fi*k 9ib0h,l,ed?

  A stone is thrown horizontally from the top o :71ru(haarr 7z4 rrigv .zj*qf a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level groundr 1ruvzgrj*. ra 4zq7r7iha(: below?

  A bullet is fired horizontally, and at the same instant a second bullet is-bkajs :pce*6toiyxr98xn2 4 dropped from the same height. Ignore air resistance. Compare the times of fall of the two bullets.x62jit:pk oy -b9csnerxa8* 4

  A plane flying horizontally at a s1p 8dq)ahoi2hpeed of 97.6 m/s and at an elevation of 248 m drops a package. 3.2 seconds )hd281 o aihqplater it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and ohip lro x6j;o/)sjyx9;dq4v 0ne second later a second package is dropped. Neglecting air resojp hl9r4)ds;oj;xxi6/0 yvq istance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed 75i7 htseagv:bn ++mh c1*oh(*fxumv. Neglecting air resistance, when the bomb hits the ground the horizontal location of tt*g *v75eamvx : c fh(iuhnmb+71s+ hohe plane will

  The acceleration of gravity on theo(wukjhys4zsq ) 55s 58q+vo q 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 Earthq(5 z qjoo+5 ys58vuqss4h)kw, the ball would land

  You are traveling at 55 mi/h in the +x o,c jeby*6.t v l6,vazaxis relative to a straight, level road and pass a car trajztb, o,vvel66cy* a.veling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river thas :6,sov b r3oz( hd8;3bgvrlut 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 starting point.uv(hv; zb3 lo :ro rb3g8,6dss You should head your motorboat

  Your motorboat can move at 30 km,5u d1 dv*vagl/h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km51lg *,ad uvvd/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The ysbfa7z g2nu-md8, ph3 componengup2zh ad8n7bm sf, 3-t of A is

  If a ball is thrown with a velocity of 25 m/s at lfj (a*g xtd(dby c,f7/7p1iw 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 direction north of east and you ene1nh 4g0 p(geid up 2.0 km north and several kilometers east. How many degrees nor ei1gengh4(p 0th of east have you walked?

  A butterfly moves with a speed of 12.0 m r co:g 1y)t3 bovumd-8n-+fia/s. The x component of its velocity is 8.00 nagov1bt-uf m +i-d8:)y r3ocm/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 shadop*7ui,clygz c7 , kf4kw over a level ground. At what angle is thec cgf4l 7ip*zk7 ,y,ku Sun elevated above the horizon?

  Two vectors A and B havetl3x9qvb1ctdrhn),b j* 1fs4-epb2l components (0, 1) and (-1, 3), respectively. What are the components of the sh,bcsfrdlv 39bnq b4x*e1tp )2jt- l1 um of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Wh6k3,+nbkd,vx4hdthc,se u *gat is magnitude of the su,tx snd, uh,6gd+ evhc* kb34km of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Whatk/0t u6j-iojt45qzf / pc ubs vmm/-n: is the magnitude of Cstz -u4 vokbn-/m :miju0/jpf5/6t qc ?

  A car travels 20 km West, then 20 km South. Whfh3p:c2f y x bj/..8o0dikamnon) mo2 at is the magnitude of its displam nnbdf8/jiox:p 0 .3c) maoy kf.o2h2cement?

  Three vectors, expressed in Carte tr/fb uvw0*n*u, lnl z;en lu0m:se.5sian 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 couvht 9a 2yrux66qbi0ib75,xd zct *4rordinates, 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), wha kx;rq qewlw,/gpef-.0b(m r1t is the magnitude of vector C = A - B l1 q.w-,gb/r(pe0m; fxqwr ek ?

  A runner runs halfwayozqw1u 7j24ty around a circular path of radius 10 m. What is the displacement of the jou oyjqwt427z1gger?

  Two forces are acting on an object as shown in F bbu3qkwzv0d0pf69;sx ) xuq7ig. below. What is the magnitude of the resubdxk6u;3v7 w9 xsz0 buqfq p)0ltant force?

  Two forces are acting on an object as se 632p-me9 /e gcnqmruhown in Fig. below. What is the directionu -e/me2ne9qpg 6rc3 m of the resultant force?

  Vector A is 5.2 cm lo8 ,pzr /gnd 5g;0kaqsong and points along the positive x axis. Vector B is 6.3 cm long /kdpsn,; q ggza8o50r and points at $+24^{\circ}$ 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 73 cm lo nsruyi1duv p/ 10-y2rng and points at $30^{\circ}$ above the positive x axis. Vector B is 28 cm long
and points along the negative x axis. Vector C is 50 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 horizont i1b6ee);o8ssjih g r.ally with an initial speed of 22 m/s from the edge of a cliff. A se ;sh j6i1)i8rbgoe.stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity op- v2hiz kxd.:;uapt ul-u2e7 f 6 m/s, from a bridge. It falls 26 m to the water below. How far does the rock travel horizontau2ptvuez-px 2- ulkhid 7.:a;lly before striking the water?

  A ball thrown horizontally from a point 27 mgai:flkplak g5g0 fq *6//e(a above the ground, strikes the ground after traveling horizontally a distance of 16 m. With whatg0p(i * al ke:fkfg6lg/5a/aq speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 e:.8ukps80b tzynd +s m/s at an angle o:0 p.8kzd esun st8+ybf $20^{\circ}$ 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 14 m/s awvms5s wd0 c,.,x2ivzt an angle ofs 2v, vdw5i,x0m.cwsz $28^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity ou/-qs4t xz d0rf 58.3 m/s at an angle of $36.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched5q k2d h+ 6;mmfqtsqq;0yzk3v with an initial velocity of 56.8 m/s at an angle of $43.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle yjbq6ulc r08b u(i83jof $30^{\circ}$ 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 197 d 3qtaa(i(wa.7 $m/s$ from the roof of a building 68.2 $m$ 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 fro+,zud;8-hr7 xps klge m ground level with an initial speed of 64.1 m/s at an angg+su;-,d78pezl x hkrle of $37.2^{\circ}$ 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),rf8dp. vjv)p wzc;+ aho(s,. r you can run a 1500-m race at a velocity of 4.0 m/s. If you ran the samp az,fr;vd +8.(wr)vsp.jhoc e race 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 m/s trl0gb6 fk oue(73a3azo the West. The plane's speed relativeg(ku6a zbl0 3r7o3fea to the ground is

  A plane is flying due Sout5+ .rmh.q qff3rvh7yg h ($270^{\circ}$) 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 sp. 4d87 s* 4nldfglvqrseed 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 proj ;v.hxjlf)gv.hci /af xy +3i7ectile with speed 50.0 m/s in a for/lg)v7hjh;xfi ivx cy3f ..a+ ward 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 8/2vzozna f ,(2 twmrvis 8.0 m/s, is directed across a river with a current of8r2 tm(2,za vnvof w/z 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motoqbn,qf0rgj )v pa*1mbz7a ) ;brboat that can move at 10 m/s in still water wishes to travel directly across a river 1.3 km wide in which the current flows at 4.5 m/s. How lona v)1jp*mzqbgb07,q ;n)b a rfg will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to trapnuo k ,o0m62avel directly across a narrow strait in which the current flows at 5.0 ua2konp,m06 o m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide r qzksu/l:/ix)eaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast cl/x/ zu:q) ksian she swim in still water?

  A swimmer heading direufha33ryn. 7ven 94iy* uo( wictly across a river 200 m wide reaches the opposite bank in 6 min 40 (nn3 ya4ir3 i *wuy9.7uevfh os. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.67 m+bzdpc w--go c* czjf-1j c7,d/s, must aim upstream at an angle of-g1*dc+--jjwcdzcf,pb o zc 7 $22.4^{\circ}$ (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)  $m/s$