Which one of the following is an example of a vect jg(14 vy:qrxwor quantity?

  Which of the following operations (mx 4 ar:(i/ql(huze gwill not change a vector?

  Which of the following is an accurate sthulq6j5hp yc50/zv0 hatement?

  The resultant of two vectors is the smallest when the angle bet/u:8kfvdim 6 tween them is

  Two displacement vectors have magnitudes ofxoof1tw c)t pj 6l* 7z;7kx,om -5pzat 5.0 m and 7.0 m, respectively. When these two vectors are added, zw ot1z6aol k5mo-f;pxj cxt7*),t 7 pthe magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the ff1ind m ,,x *j) lxmh.d,b;jibollowing is a possible answer for the magnitude of the resu1* fm),dxx dn bliim b,jh;j,.ltant?

  Three forces, each having a magnitude of 30 N, pull on an object in directik;oyo;vnsh tyx 91) 8dons t1kso 9 h)o;yx8;t ydnvhat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkn84bst+ s fha+dl yq*:ea3 0bazown vector is

  Ignoring air resistance, the horizontal component of a pro)767bam2if ju.emx eq jectile's velocity

  A ball is thrown with a velocity of 20 m:lw7r/4,bbtk vc hz 5j/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 prz w. vpl/+6scvg ie-)fmhx05aojectile's accelerationa gz ec)vw.i+0xmph6l/-5 fsv

  A soccer ball is kicked with a velocity of 25 m/ hy5d(31o-qjq 6fia zps 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 veo7y8 bug 2dc:sctor of an object is directed anti-parallel to the velocity vecdbo 8:7suyg 2ctor,

  If the acceleration of an object q2(c (el6i a7c5f olmcis always directed perpendicular to its velocitccleqf 2 75c(ol 6(iamy,

  At what angle should a water-gun x.,2 abyz8e mcrczw y(*8 tc;hbe aimed in order for the water to land with the greatest horizh*za,tr y c82xezmy(;bc8.wcontal range?

  An Olympic athlete throws a javelin at fbk* ab45d:+m fjn.w6 :jhzgxuour different angles above the horizontal, each with the same speha5gjfb:n w6u* mx4j +b:.dkzed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for therl;y n;* idi r d9*-w2ekgurs2 second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your firs-ir22id9 due;k*sg* ryn wl ;rt serve) would be

  A ball is thrown at an original speed of 8.0 m/s al 4 pq67 .ie4czis.+k hvxp7vtt 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 guz. i3jul7nv ax0:z s0oal attempt reaches its maximum height, how does its speed compar u7.i0x:3zz alsunv0 je to its initial speed?

  A stone is thrown horizontally from the top of a towk8sb tz ;ud)j2er at the same instant a ball is dropped vertically. Which object b8z )kusj2t d;is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same insr ,-t3jpx/ +wgw8wojy9xvut +tant a second bullet is dropped from the same height. Ignore air resistance. Compar/ o8wv,rt twjw3xuy+gj- p+x9e the times of fall of the two bullets.

  A plane flying horizontally at a spezdzywp .846ahhqs;3rr;8ev ied of 65.1 m/s and at an elevation of 209 m drops a package. 2.5 seconds laterqhzhpr;s6y 84i ev8wzd. a3;r 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 one second later atel*2jm-58c wr 33i:ee xmw cw second package is dropped. Nem li 3w jct3em:8 xrewe*w25c-glecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying hor83z i(uc9asa2 m7 jt+ejz ku*uizontally at a constant speed. Neglecting air resistance, when the bomb hitstie*(j7uuz329k+m czsj8a u a the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only gj jihx66-y76y ntc c8one-sixth of that on Earth. If you hit a baseball on the Mojyctg-68 c6ijyn x6h 7on with 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 the +x axis relative to a straight, level ut(3 4kxw3ybk(g7 i a0l,z(sxr x j8sz6qdpp8road and pass a car traveling at 45 mi/h. The relative xd(x,i6x8p7r( b azlq0g4p8ujkz3k(st y w 3svelocity of your car to the other car is

  You are trying to cross a river that flows due soutop9o 7w, dmla8t ow3/zh with a strong current. You start out in your motorboat on the east bank desirio atdpwwl93,/om8z 7ong 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 timejxaamdsfw z)q+dw +-h r, ,14x will it take you to move 12 km downstreaz,a)wam+j1 h4+sddqr xx f, -wm, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below k1d9eg5x*rli yc*)*x ilbue/the +x axis. The y component of be*/dl*ulxk e* ii91)r g5xyc A is

  If a ball is thrown +.iiuv4yd )w 8oxfp- l;7tt v c;vl*kbwith a velocity 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 straight line in a direction north of east ani nfwt;w6yb/;l 8 0frzd you end up 2.0 km north and several kilometers east. How many degrees north of east have you walke znl0 ftfywb;iw86r/; d?

  A butterfly moves with a speed of 1,rv1v;*n g s/j zsk0kb2.0 m/s. The x component of its velocity is 8.00 m/s. Thvr0/ 1kvb ,s ks*zg;jne angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long s(wjma x6 *m1cshadow over a level ground. At what angle is the Sun elevated above the sc m jmx6*a1w(horizon?

  Two vectors A and B have components (0, 1) andua5lui9 ze, +u (-1, 3), respectively. What are thae u, ui+uzl59e components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respene(zg9b0lt: u ctively. What is magnitude of the sum of these t:9bgzln 0tu e(wo vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + Be 4;w432rd 7 grwy*4puxqoh5fqyoc d. . What is the magnitude yy5 eowcrd.w7qu 2fr;q*pg hxd34 44o of C ?

  A car travels 20 km West, then 20 km So sw/s3fv,e c;futh. What is the magnitude of its displaceme;scf s,f/3vwent?

  Three vectors, expre1uyk7z6kva0fm,w y qx4e9oe ,ssed in 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, expre z(e8ce ouj0z/()9 dxf 82rt wbjpyf3z dgiw59ssed 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) andg/yr j j7ypoge:wu :,uoa0f -- vector B = (+3.0, -8.0), what is the magnitude of vegfr ugj--/: o:o7puyy0 jw,a ector C = A - B ?

  A runner runs halfway around a circular n:xrz*/bs)n6ar:tm0:kzs p v hc7cs 7path of radius 10 m. What is the displacement of x7ncrh t)p k:znvm 0:sr6abc*s/7:z sthe jogger?

  Two forces are acting on an object as fnp f,fdgu61s*s:6n/d gi pq )shown in Fig. below. What is the magnitude of the resultaq/ u dn f,6 f:sfp*ng6gp1sdi)nt force?

  Two forces are acting on an object as shown in F7 d rwz ;4l3ovzpl+:quig. below. What is the direction ld+uzq734po wlz:;rv of the resultant force?

  Vector A is 4.2 cm long and points along3)tu hp4946s5 jkkq:csdssp( 5eupg p the positive x axis. Vector B is 5.4 cm lo tjc:455kssp pk 4su(u 9ep 3pdgshq6)ng and points at $+49^{\circ}$ 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 78 cm long and p +rjf sz)gr/c1oints at $30^{\circ}$ above the positive x axis. Vector B is 27 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 an initial speed of 24 m/s from th 8 fh:b,k2pnoqe edge of a cliff. A stop watch measures the stone's trajectory time fh o:qkf8bp2, nrom 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 horizont(3nfm;zegvjuo4e g2 9ally, with a velocity of 13 m/s, from a bridge. It fa;2muz9g34gneefo v j(lls 20 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally ,b v(nbr:liwv -f, ku *df j9p:irz95ofrom a point 21 m above the ground, strikes the ground after traveling horizontally a distance of 22 m. With what speed was it t9 w*fzb -b,v(fupn:jdr ,klov:9ii5rhrown?

  A jumper in the long-jump goes into the jump with a syot:9;f0 7rpfbi0wc 2 vynu9ppeed of 12 m/s at an angle of v9i0pbyrf nwu ocy;tf7p90:2 $20^{\circ}$ 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 w(y9 zx*iih9v(pz;9hst coaq+ith a speed of 11 m/s at an angle o+ z*hcs zi 99i9xh (v(qaytp;of $29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an iny b8z7ny. pwfnk3x or5gv8/4c itial velocity of 22.1 m/s at an angle of $28.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 57.4 m/s at kcmcq z9w0 4i:an angle of $35.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle 8g c:2 kfid4k4jwwyj* 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 horizonxn1) r6 tlun(hrfxyjum) 2s8:tally at 16.5 $m/s$ from the roof of a building 47.1 $m$ 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 iel) c/r0ws c:xnitial speed of 67.6 m/s at an anglx/c0lr s:w ce)e of $41.7^{\circ}$ 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 velocity of 4.0 m/ y:f,ysli+8ec s. If you ran y8yl +sc: i,efthe same 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 to q7cwmo/l z4vp; e.n i1the West. The lq /mwn7;vec 14.opziplane's speed relative to the ground is

  A plane is flying due South2 ubg*f ing5) ruvo.,q ($270^{\circ}$) 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 ofid 3t0jhtv+2s 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 projec + :pjisq)-histile with speed 50.0 m/s in a forward directions )+s- :ihpqji $30.0^{\circ}$ 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.h- ury.g y6a/,ubpsw. i0hp5p0 m/s, is directed across a river with a current of 6.0 m/s. What is the speph5 6psypu0ia-h. by, ./wrgued of the boat as it crosses the river?

  The driver of a motorboat that can move at 9 m/s in still water wishes to travebz,h ;zp1-d dwh5cql7l directly across a river 1.8 km wide in which the current flows at 7.4 m/s. How long wi1lcdzq7-h5z;h, wpd bll it take to cross the river?

  The driver of a motorboat that can move at 10 3lmvm3 5e9gg( i4xjh lm/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver headl3me4vix3l 9g5( jgm h the boat?

  A swimmer heading directlyb1pp r0dg4znbo+ qs:, across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Ho+:rspq0bo,p 41 nbdzgw fast can she swim in still water?

  A swimmer heading direato9v1 81ney seo,bi ev;4e sjz.7r5tctly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downat 8eeo5jy z41iv.o be,9nsevt;r17s stream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.48 m/s, mu-q ))ns ydfz/hst aim upstream at an angle of )yn)h-dq fz/s$23.4^{\circ}$ (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)  $m/s$