Which one of the following is an example of a vector t/7xlnx4nty0 quantity?

  Which of the following opera2-vgii 7j t,dvf5 elv-tions will not change a vector?

  Which of the followinghbux 2i eg(ih+/ 5/xkc is an accurate statement?

  The resultant of two vectors is the smalle5lsvb;.4 6i iu oi)rh3pee/ oest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m,8y lzrejn p8bk,l1 /z;ltk*o , respectively. When these two vectors are added, the magnitude of the su/nbek k8*j z, ;zl 18lotp,ylrm

  Two vectors, of magnitudes 20 and 50, are added. Which one of :x-.nb v3pzzpv c/n/vthe following is a possible answer fo/v x:cv3- zz .pbpn/nvr the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N,rvr 9sq+x1 b5k pull on an object in directions that are 5v9srbk+q x1r $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector is*rh zv 3r,pfk9

  Ignoring air resistance, the horizontal component of a projectile's velocity6ck6;8qawsgy* /guwtx u.nb 2

  A ball is thrown with a velocity of 20 m/s alkvz 0cz5s:2u0 lvsi9 t 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 projectile's aud2 lt ,ffv9e6ccelerationf 6lt9due2 ,fv

  A soccer ball is kicked with a velocity of 25 m/s at ank s im-t1 k4-pc(f uyfb1f6j3glg+9fn 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 isi tzfzsr2350 x directed anti-parallel to the velocity ver2zzft30ixs5 ctor,

  If the acceleration of an object is always directed perpen puh7.1h +67czglcqgfdicular to its velocit q7hgc gflcu 71p6+z.hy,

  At what angle should a water-gun be aimed in order fory7mq s: :-1fvfxc:ub/+vm sk o the water to land with the greates vv:xcm /sms ff:+okb q-y1:u7t horizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizic8/.qus a8 gmqh,3 jvontal, each with the same speed s3cg.vhaq 8mi,uj 8/q: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 you8*7h+ vk8 n i2gehi0z0(rj 9h2 tr6aj jgiyvoxr hand with twice the velocity it had on your first throw, its horizontal range R (compared to your fix0erjijy26ghav0h 89zitvho j k 2r7+gi*n(8rst serve) would be

  A ball is thrown at an original speed of 8.0 m/s atyat 7n8 td)p5yg j0t3q 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 attemm owd4vyryaw+ 9 32xx1pt reaches its maximum height, how does its spea d 4m 12yvy39woxxw+red compare to its initial speed?

  A stone is thrown horizontally from te3cs g p;g*fi-he top of a tower at the same instant a ball is dropped vertically. Which objectgi*p f; c-e3sg is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instantu)h(c0okd mkvek g4 9- a second bullet is dropped from the same height. -m 0k(ev94uh)ogk dck Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 87.4 m/s anm z2yzc4r. h)2ax3ae xren19r d at an elevation of 147 m drops a package. 7.2 seconds later it drops a second package. How far apa3hxrye1 29)a.z2xmrz ca4ernrt will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a slm .)4+86.wcsdfs gfpg g i3zyecond package is dropped. Neglecting air resistance, the distance between the falling packages wilg3.g z6f4+ylwpfm8)c ds. si gl

  A pilot drops a bomb from a plane flying horizonta r7wqry s;z -5ypj,z1hlly at a constant speed. Neglecting asq1z y75 z-;,rrpyj hwir resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is6py1:a *a wbbm only one-sixth of that on Earth. If you hitw:a*pb1 y6bma a baseball on the Moon 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, 4n*9djb psf 8kc;d:.t igab* flevel road and pass a car traveling at 45 mi/h. The relative velocity of your car to the othefgcj dis a*fb48 ;k:nb *9dp.tr car is

  You are trying to cross a river t /l/hqmqk.e 0that flows due south with a strong current. You start out in your motorboat on the east bank desir0htkm/e / .qlqing 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. a+6.j5hr k5x--cpp bpg u 6cfeHow much time will it take you to move 12 kmxg+bf5jcu6p.r--aph6 kce5 p downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 deg y* le vn;gv9hf-.at-urees below the +x axis. The y component of yetnv 9 ;h-u-l gva*f.A is

  If a ball is thrown with a veloci g lx9-o4vjv3sd39d smty 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 and you end2 (j5at vhbb3hwqgko3w9 c* o* up 2.0 km north and several kilometers east. How mth q* 9hva25(b wkboo3gjc*w3any degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity io(7vbpoe fm8 xpqr3 v4q fyt16fk46v,s 8.00 m/s. The angle between the direction of ko6o8fmpvv4p qq t,f4 b6v (y7fe3r1xits motion and the x axis must be

  A 400-m tall tower c*/7xg*k lzxln asts a 600-m long shadow over a level ground. At what angle is the*k *zlgxxn7l / Sun elevated above the horizon?

  Two vectors A and B have componwee(s szxhb 5 69b+-lpents (0, 1) and (-1, 3), respectively. What are +96ebxlpesh bzs5 ( -wthe components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respective6c-n 5pv xbfk5ly. What is magnitude of the sum of these two vec5fn kv5p-c bx6tors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is thex gp*dakvq6hn0 * u- qt- hh)ibc9j(h; magnitude of C -0cp;g9 *hq n6ta dqx*ivu jbh)kh(h- ?

  A car travels 20 km West, then 20 km South. What is the magnitude ofu+g ,w/xnw5tt its displacement5tx,+g/n uwtw ?

  Three vectors, expressed in Cartesian coorddr/w o+(z6n7w h/ketn inates, 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 Carteszt b67* b4 sdugyx1,qeian 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, aq j cei-b,*6ny 7z2cu-4.0) and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - -2qc cznu,i6yb * 7eajB ?

  A runner runs halfway around a circha5qes 79oyfv.r + hei1t9b+eular path of radius 10 m. What is the displacement oehytf5a+1ehv+9bq9 7ser. i of the jogger?

  Two forces are acting onj1, he y7o 2l.et rp+tvf(rms3 an object as shown in Fig. below. What is the magnitude of the r oh3t2errmyp v,.lf(t7 j+ 1seesultant force?

  Two forces are acting on an object as shown in Fig.5fvmg bqg34rx/tfe,;v9 w w 1z below. What is the direction of the resultant forceg 9,3xb1z 4r e;mff/vw5gtwv q?

  Vector A is 5.1 cm long and pointvj-u*zv 8* b)x asyb-ds along the positive x axis. Vector B is 8.8 cm long and points uvva*y- sbbxj z *d)-8at $+26^{\circ}$ 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 53 cm lo xhz2dc ni0gm) mh wcfk/5+zapgd.6:9ng and points at $30^{\circ}$ above the positive x axis. Vector B is 30 cm long
and points along the negative x axis. Vector C is 21 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 init td2,/0 6 fdfc)urhyowial speed of 29 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 b hu2yfd),d0fw6rc/t oottom to be 2.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocicns :0ss-qseb4w 9muo0xc /i *9xme* tty of 19 m/s, from a bridge. It falls 29 m to the water below0ss 0:wbe9 4* qitmu*-9mnxse cco s/x. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the grounzkta o;c(. lhl 12v8wud, strikes the ground after traveling horizolkzclv1 w.t8h( 2a uo;ntally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a sjps bw5+6t(p8ra:dtvs.9n k l peed of 12 m/s at an angle p pt9 8bl at dssnv5jkw6:+r(.of $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes int-dr9iy 7 wzh;v*(drtho the jump with a speed of 15 m/s at an angle of r-(riy wd 7zd9*h h;vt$34^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocqg0 mysiv,4/ b5i- dluw2ily:ity of 58.4 m/s at an angle of $24.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 39.6 m/s at an tnc/t6o b (hn;wigr(g/(+e t hangle of $43.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at aneucb))zd8csw 7n4n g* 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 horizontallocrl5:m5(.c sm fdm* iy at 26.4 $m/s$ from the roof of a building 57.9 $m$ 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 initial speun)irla); ncp6g 32veed of 56.0 m/s at an angle o )6urv3; na)lig2epnc f $41.6^{\circ}$ 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.) 8- kk3yfqmpw0ek: un0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s,fue-ywkkpmqkn :308 ) the time it would take you to finish would be

  A plane has an air speed of 200 m/s due Norek.bsgq :ky ewak;w05wzhs5, a w6f-8th, and is in a wind of 50.0 m/s to the West. The plane's y q ,-z65 hwfekwkeas 5abw.gw0k:s;8speed relative to the ground is

  A plane is flying due Soutd3:srwz7t qs(g mdn5 ;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 speedtax6hae7*48 w5rsjg 0 avahx ;5b0ool 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 horizol3da( cyt h0 v s9sdg+4 3e3lwfq+4dhrntally fires a projectile with speed 50.0 m/s itha (y3d c3+g4ld+9dwlsr 4 0eq3 vhfsn 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 in still water is 8.0 m/s, is directed acv;(ijq , fg)v y:un:d hjgq(k-ross a river with a current of 6.0 m/s. What is the speed of the boat as it cr:y,)j k qnjd:qv -(vuigf;hg( osses the river?

  The driver of a motorboat that can move at 10 m/s in still wa 8cf:t; lk y8ca*6dvb9 ;qwzugter wishes to travel directly across a river 1.1 km wide in which thd8lu;8gf 9 6vc a*y :qkt;cwbze current flows at 3.7 m/s. How long will it take to cross the river?

  The driver of a motorbo;fx) l-hv a,hgat that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At whaghax;)v-hlf , t angle upstream should the driver head the boat?

  A swimmer heading directly across a rivera fjsg5t53/kd 200 m wide reaches the opposite bank in 6 min 40 s. She is swept dowa5dk /5fgs3t jnstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a riverh3pdi u4xsuxb757jlcq:6:e n 200 m wide reaches the opposite bank in 6 min 40 s. She ishs4 5j d:cxlu :7 7iqne36bpux swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 2.10 m/s, must aim upstream at an angle xjo4 r8x+ cwq*an)zv5j ebb:8of 8c xo+ z*5vnb)aj 8bj:r4weq x$18.9^{\circ}$ (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)  $m/s$