Which one of the following is an example of a vector quot+y r-lq,9gaantity?

  Which of the following 3q gfs 4ght -5ibrr07ius:(hxp1el0foperations will not change a vector?

  Which of the following is an accurate stamatbb .u*c t,0sfrb 3(tement?

  The resultant of two vectors is the smallest when the angle betweenkvb,gb,i1n eof; r0)f/q1lp z them is

  Two displacement vectors ds6k mk/g7ris rl+)r9have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are addsd gs/mrk76 9i l)r+kred, the magnitude of the sum

  Two vectors, of magnitudes 20 a p juwyumel3/:lm(/u,nd 50, are added. Which one of the following is a possible answer fl/(:j uemm wp3u,yu/l or the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull oga96.n ,ogj3tsqe ;huz:hg ;yn an object in directions tz9 hy;,q6: jg;g3hate ogsn.uhat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vec 7k.b u6tj7eqdt .ya/g74 fqcmtor is

  Ignoring air resistance, the horizontal component of a pro *-kq,i8q( hcfwkfn+pjectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angb,6c d (pkj;daay-;, nj*amgmle 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 projecti 5p8 mgv ch..+kiwqhuzd4e 1b8le's accelerationv b.qw1h+8e 4zpkuicg58m. dh

  A soccer ball is kicked with a velocity of 25 +n)lgr;ppn* kw (x/9 lw8dcqp 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 g, octhg19:y rof an object is directed anti-parallel to the velocity vecto c o1h:9yggr,tr,

  If the acceleration of an object is always directed perpendicular to its velock: 5e+m r78n cnfmij*5 tnwa-zhmu/2o itymz rm 87c f i/jn+nnh52tew5uao:-m k*,

  At what angle should a wa1se,6 e r-q2t h fad.pqfd*b2jcm6 n5gter-gun be aimed in order for the water to land with the greatest horizontal racsf .26jampt5 2q-eeqg*hd 1,nrbd6fnge?

  An Olympic athlete tgc g7jfgcq/.d2 sh(: h5rtag(hrows a javelin at four different angles above the horizontal, each with t fdtcc7 /q s(.g j(gharg:2h5ghe 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 handclhzg)y( yp55 with twice the velocity it had on your first throw, its horizontal ryz5hgl)p(cy 5ange R (compared to your first serve) would be

  A ball is thrown at an original speed of 8+n0.cqskm + rc.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 maz*yad atfbe9r;7 z1;a ximum height, how does its speed compar1 azf*a;7bzr;9yadet e to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same zkagn9u2 p+*z instant a ball is dropped vertically. Which object is traveling fastngzp9 2 uk*+azer when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant afgab)lzig7 zp7 ,b+ 0o second bullet is dropped from the same height. Ignore air resistance. Compare the oi z )a+7 ,bfpgb7z0gltimes of fall of the two bullets.

  A plane flying horizontally at a spetj(s;h37 rtd7 qq/bcp ed of 101.8 m/s and at an elevation of 149 m drops a package. 7.9 seconds later it drops a second packageqd7 3b;(rjhtcs/7 t qp. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, )yoyr97 bwp49i-04hf9gr bw ef pa 6mtand one second later a second package is dropped. Neglecting air resistance, the diyrb79yhw 4gi6w4fr aft)ebpo-pm099 stance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speedzqaa n7i9tng y4)(6 j0zmc mn-. Neglecting air resistance, when the bomb z0na )4aiqjzmny -9nc67 gmt(hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Eartigabj52l)zekk8v) r )h. If you hit a baseball on the Moon with the same effort (and a2av ri lkezjb)8)gk5 )t 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 awdpiqw+q/m t o e9a4s quw+i2r*x 0g/2 straight, level road and pass a car traveling at 45 mi/h. The relative velocity /sp2+2uwxq te/49qwiqi gow0r *mad+of your car to the other car is

  You are trying to cross a river that flows due south with a strong currxp:1 8jxrb3ge:6z td3i j 1u+vw hbg qu+d/6mrent. You starbj m18/gj:b3wu+i rq1:6 3+ge xdxh prvdztu6 t out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 pvwf.h e4knd4xugm*e:79 s 9z km/h in still water. How much time will it take you to move 12 km downstream, in a river f.47dp9e 9nkeh4vxgzu mws *f :lowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an anga ndzg.-k7*yxle of 30 degrees below the +x axis. The y cokdxy -nz*. 7gamponent of A is

  If a ball is thrown with a velocity of 25 tqt0pa6 xl:/w9f4e b r s8uar-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 aql2cd tq hw49k/kx s7r3tt.u4nd you end up 2.0 km north and shq944t.dkr3 s/qu7xwc2t lt keveral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a 32)eyi wmyq7+l w6k hm.pog:rspeed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the d :o+hr32eg qyk)l6p wm 7ymi.wirection of its motion and the x axis must be

  A 400-m tall tower casts a 60;0 2f sv,)ebhr:jbwik0-m long shadow over a level ground. At what angle is the Sun elf)kb:0 iwv,s2bje rh; evated above the horizon?

  Two vectors A and B hf/*fx bt4u 6ay (nm mtivw8a6zj98 mz7ave components (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vectou * x am(ny9mt68a/fb4 v7zmjf8w z6itrs?

  Two vectors A and B have components (0, 1) and (-1,z 7wzo21fcwj/1 k*dxe 3), respectively. What is magnitude off7cwo*2 1wdjx1zk/z e the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What isi5n - lar(xwj( the magnitude of C a x(5(il -rnjw?

  A car travels 20 km West, then 20 km South. What is the magnitude of its 5l1ki jdahf;9i,e 7gedisplai 7eg9a lhk5e;jdi f,1cement?

  Three vectors, expressed in Cartesian coiz df m 3fwbef+3gq6ge 7r;/4oordinates, 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, expresseddxfd)p :v 6:n/ a t42wndj; /gk oezr2.qwei4s 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, -4.0x(nsd/cch7,a.b14 p / z)gn a vgg(tsj) and vector B = (+3.0, -8.0), what is the magnitude of s /nthx7spb.a /4v() c1,gadznj g (gcvector C = A - B ?

  A runner runs halfway aro+qa r5 ym9k .r.zn,mzmund a circular path of radius 10 m. What is the displacement of the jrm,n kamzq.y+9 mz5.r ogger?

  Two forces are acting on an object as shown in Fig.39qo:su )wlxk below. What is the magnitude of o kl9uqx): 3wsthe resultant force?

  Two forces are acting on an object as shown in Fig. below. What is the direcg 6 iyi1x9.-gmg-uy netion of the resultant fo-g6n i1gxeu.yiy gm-9 rce?

  Vector A is 5.8 cm long and points k65c/5q7;g2ww -fhle 03kzlfcw lkyl along the positive x axis. Vector B is 8.5 cm long and w/ l6 yczef fkll0 3;7qck5lk g2w5h-wpoints at $+42^{\circ}$ 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 79 cm long1o ml l3sy:p rltw-11b and points at $30^{\circ}$ above the positive x axis. Vector B is 20 cm long
and points along the negative x axis. Vector C is 44 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 28 m/s from the i i*/gskz:- m0x:7ly*d rppgledge of a cliff. A stop watc0 r:dksm-pyxg/li:* 7pzil*g h measures the stone's trajectory time from the top of the cliff to the bottom to be 2.8 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 17 m/s, from.wd9y4t;y1l ue 6azzt a bridge. It falls 28 m to the water below. How far does the rock travel horizontally before striking tyy.zwd u4e 9l1t;atz6he water?

  A ball thrown horizontally from a point 25 m above the grounzf4azdxf9i:/,,e o w a..lh3y,fcdlad, strikes the ground after traveling horizontally a distance of 22 m. With wha9w,/cof:f ,d.z la l.he4xdiaf3,y z at speed was it thrown?

  A jumper in the long-jump goes into bli89+a 5 ldssthe jump with a speed of 12 m/s at an angle oilss 98 +lb5daf $20^{\circ}$ 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 86ieii4isq k pp ov* * s,hrxp3y*7.h:w m/s at an angle o h .v*iwh3prys4i kqp*:s7p6,xo i *eif $35^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 52.6 m/s apnl5gs +pi)qtum w/6t** ;;bajg q 3bn+6s nswt an angle of $31.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 21.6 m/s at an angeh;us ;p6nf 4xq x6rj(top3 o.le of $16.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an a o;3p2usuuikci65q/ sngle 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 horizk( iofkwra207 ontally at 19.4 $m/s$ from the roof of a building 51.5 $m$ 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 speed ofs*2plzv)(gsbw2 .;gr x:snn s 49.9 m/s at an angs(g :ss*2lgn vp)nzw2xsb;.rle of $37.4^{\circ}$ 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 150ge) vb;k0 2riv0-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwindvi); ebgrk2 0v 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,15s o85 tqwh 9e)vam)k0aepr mzs6(nx* 4 phbm and is in a wind of 50.0 m/s to the West. The s)n5m94 a *tasex)6ozb (qm10 rhk pw8evpmh5 plane's speed relative to the ground is

  A plane is flying due South5yzmx e w 3(ueqaodz4)e6 sw/ioy;,jpofq8-6 ($270^{\circ}$) 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 spejo.efp8 g;o+ ( gw*f4e--db h xyy*stbed 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 projectile with speed 50x jfozy3;1reu -1a( ux.0 m/s in a forweo1 rfj 1a(;-uyzux3 xard 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 d,+ea-gv9z+wdz 5naz onvay 73irected across a river with a current of 6.0 m/s. What is the speed of the boat as it cezd3v,+o5z anw 7aanz v y9g-+rosses the river?

  The driver of a motorboat that can move a;k8mgt qi34 int 16 m/s in still water wishes to travel directly across a river 0.9 km wide in which the current flows at 3.7 m/s. m i3ng kq4it8;How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s inz l(j4av-i tn45zy d2j still water wishes to travel directly across a narrz-4 iajd 2tl(j yz5nv4ow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches t,lkj s/i;vn (dhzrhh4ip 7fmm mv4-- +he opposite bank in+d4l-r4s/,ivpimz;h m-mhjv k( fn7h 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly a:.lqdl2k c9xr6.r p ihhn )vm*cross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Wh )h*q6ilh. dlnv x:c 2.pmrr9kat is the speed of the current?

  A boat, whose speed in still water is 1.48 m/s, must aim up(6rwc go . m5yelf wr)73u5 pjrp,a3brstream at an angle ofujfy76r ,rp(wo5 gbr cl a5r3epm3w). $29.8^{\circ}$ (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)  $m/s$