Which one of the following is an example of a vector quantityyao-1 u blbrw,t98t a: k5aj0s( g0ago?

  Which of the following operations u4shy9s0ci i8will not change a vector?

  Which of the following is i :;ffm:k5wo 6vr/*ykznvf;r an accurate statement?

  The resultant of two vectors is thyrk0c i/z9lo1 e smallest when the angle between them is

  Two displacement vectors have magnituc5io4xawk h+ixc1fh-,f 3p7 -pavvqz14pvi+des of 5.0 m and 7.0 m, respectively. When4z1xhw, hcpacoavpv4i kifi3qf 7v5 x p-1++- these two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 f;t ib*dz-pnd8m-bnxnys,-mg( 4iv/and 50, are added. Which one of the following is a possible answer for the magnitude of the resul,yx(fis- vn4*/ 8t zgb p-ibndmm-;dntant?

  Three forces, each having a magnitude of 30 N, pull on an object in ky+ 6e ov. ip;3xhad6wdirections tha.6xoadvh eiyw+p3;6kt are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown,dzr-7*rgh 66o dtury 4 the unknown vector is

  Ignoring air resistance, the horizontal component of a projectile'siy zvb 93qcb2aivo u2 0ui5z9- velocity

  A ball is thrown with a velocity ofk vahu. cz67jsip4 tv25de7l, 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 horizontal component of a projesa-ur3, w eiz r4g-z(qkwth*w w7ma8/ctile's acceleration rw-3a 8h /u,- q( mgewzwita47kwzsr*

  A soccer ball is kicked with a velocity of 25 m/s at an angle of /* +shhrcp)an$45^{\circ}$ 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 theo 6qw5/kocpc4 velocity v ockp6c5q w4o/ector,

  If the acceleration of lkh ddw8lg0;zb98z jr d9,z-jan object is always directed perpendicular to its velocityw z9jhrl, dd8jgb-0l 9 ;z8zkd,

  At what angle should a watetf(l;f(nzg*kac 8sp 5g1 sv. qsx:u1ar-gun be aimed in order for the water to land with the gr 1*kfsgq:;.ufst( lgsvz5ca n(8ax1 peatest horizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizonty9i065uis8 hr2 ed oxbva4wnm0s. (ewal, eac6ah 9840i w edn0so iyse wu(b5.xrvm2h 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 timy js2xc7e my(,tm;saeuo9bw i8j 2x92 e. If the ball leaves your hand with twice the velocity it had on your first thrysa2mt29ucsmj;i8ox e w7,( b9ejxy2 ow, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed obbk-x y2* ir;mww.*mlf 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 go; c umlpxwc9:,up(t1xal attempt reaches its maximum height, how does its speed copulmx(pt u;x 91 wcc,:mpare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instanv0es 8t:/03/ uzongynj5ftw e t a ball is dropped f0/nj580 yng:3evs /utw oetz vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontallya(k lt6g wkuex*k 7.4w zn66y*c,rq ce, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two b*cr xykc7* t(u g .q4a6kn6z,klw6eweullets.

  A plane flying horizontally at a speed of 80.7 re*v/gh9v-h k m/s and at an elevation of 183 m drops a package. 7.8 seconds later it drops a second package. gve9r-*hh/v kHow far apart will the two packages land on the ground?

  A package of supplies is dropp dt)wa-zs: 8m6( rrq-t-:yaui5oxt nded from a plane, and one second later a second package is dropped. Neglecting au56t 8r(z wxia- yqdtns-mdao-: t:)rir resistance, the distance between the falling packages will

  A pilot drops a bomb from a pltg dwjukx*h (mw bo0a,2f/7;d1 0ne tiane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontt*w0x1fbdgh/;oad iewm kju7 2,0tn (al location of the plane will

  The acceleration of gravity on the Moon is onl ,qp,hh(.yg6 az7js 3n i1ydccy 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 Earth, thc763d(nps gq .hj,i cz ,a1hyye ball would land

  You are traveling at 55 mi/h in the +x axis relative tk5zf4:k/+w(elb/z h 27e epotcxc5j io a straight, level road and pass a car traveling at 45 mi/h. cc+/t hw k5lfk jb2ee ez7o4 i/(x5zp:The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a g p;+ rlcl3if(- gc:1ey+krwjstrong current. You start out in your motorboat on the east bank desiring to reach the west bank dii1g+r;le w:(ckclyj3fp + g-rrectly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How om fhk1liz0 +8c2un1 ,qjqn;jmuch time will it take you to move 12 km downstream, jnh10c;ozfl,ji1+q qk28m nuin a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreesoy9grtvn*1n ,l(9(1 zp nzrfg below the +x axis. The y cozg fn1nt(l,y9 p(*gor9 vnz1rmponent of A is

  If a ball is thrown with xv.+:w c*nak st82sbgk 69/ :acubc c)mn1egna 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 oj9i*og5 aw+3/lq nd bof east and you end up 2.0 km north and seoj/9n i 3 +5*lgwdoqbaveral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its ve4coo -a q ojky4e2m -hryty**9locity is 8.00 m/s. The angle between the direction of its motion and t4mjc*o2q*y ao -kr 49oyh-t yehe x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At w 7/ah1ecn:zxm hat angle is the Sun az1 mnx7/:ech elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What ay-m sd-sxq06e re the components of the sum of these two vectyx0msesq -6 d-ors?

  Two vectors A and B have components (0, s lsx/t5 t)vn:m7n 2h-kd )x2yaei:ga1) and (-1, 3), respectively. What is magnitude of the sum of thesds2l e)s/nina2 t:kxth vym :-57gax)e two vectors?

  Vector A = (1, 3). Vecto k8xa54p-y7i mnl (bz no(mm5hr B = (3, 0). Vector C = A + B . What is the magnitude of C 7b5hyi8 -mmn mk azlxo45(np( ?

  A car travels 20 km West, then 20 kc vh ;) 2uv br:p2twlnw7/q(fjm South. What is the magnitude of its displacemenujt /2cpf:r )bqw2;l w vvn7(ht?

  Three vectors, expressed id 70bzwm nq7c3ynfi8+x t+xg+n 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, expressed in Ca/ yw (ze*bs.owrtesian 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), what is the mag4n q::vz-lvwj9mju t*h;z 7kd b-nn5rnitude of vector C = A - B :v n*lq wd zv-nk:u49m5bjh;7jr-zn t ?

  A runner runs halfway arouns2i92ob / peiqqlw wqoej3)8(-uwsn6be31okd a circular path of radius 10 m. What is the displacement of theu-)8q k s21q3ne ej/oew wwq9bpib(3os2ol6i jogger?

  Two forces are acting o8w)3zwgxt3m c3 sa xl,n an object as shown in Fig. below. What is the magnitude of the resultanxxz)m3 3wl 8tc wga,3st force?

  Two forces are acting on an object as shown in Fig. qtbnyg 7i7:z32 w :kbfbelow. What is the directioz g7b:t b7k:f3 ywqi2nn of the resultant force?

  Vector A is 5.9 cm long and points along the positive x axis. Vector05p d*dt.s19obxab 7twyu 0 c:ihe2cs B is 8.0 cm longw:sy50 iux bt.c09btsao27he* 1ddcp and points at $+38^{\circ}$ 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 82 cm long and points at nfp 2h1p brqv.74d4ih$30^{\circ}$ above the positive x axis. Vector B is 25 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 horizontally with an initial speed of 16 .oczuut os/*ybgf-r9 vj )5u0m/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 2u). u5r9ozu-tg byvf/0o sjc *.7 s. What is the height of the cliff?

  A girl throws a rock horizontally, witkpz3 3kvygi/- h a velocity of 16 m/s, from a bridge. It falls 13 m to the water below. How far does the rock travel horizontally beforepgkkz y 3iv-/3 striking the water?

  A ball thrown horizontally from a point 23 m abo3ld;q(uz4mn/ up:dzt ve the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it thrown?m (td;q3:4z p/lznuu d

  A jumper in the long-jump goes into tmgta- )hc *.m,bkerc akrs-7yw0:/ dphe jump with a speed of 12 m/s at an angle s*a7db e/0- ack pk.ry:mwc,mh)r-g tof $20^{\circ}$ 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 13 m/s agjtk- t13qc 8ht an angle o-qtk81g 3ct jhf $16^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launchec0 qgh.dia+5vg qk a29d with an initial velocity of 29.4 m/s at an angle of $36.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initi x4v aiyki-c(9al velocity of 40.6 m/s at an angle of $13.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle -2 9fnm z9fjl(-uvfmqq-tihk5r7q 1z 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 horizontaab+ xng4f :8lslly at 18.9 $m/s$ from the roof of a building 61.6 $m$ 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 speede4xsry)1) a9onx. zw p of 49.4 m/s at an ango ae)wn)y.1 sxzxpr49le of $43.2^{\circ}$ 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), you can run a 1500-m race ar vd5v+zwatqt u2/qf+dt9q*c /(ueeab ;id8/t a velocity of 4.0 m/s. If you ran the samebvteui2*+z t;da(/a9 d5qw v+f/t/qe rqcu 8d 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;0m -tdelt.ucwe2c x 6 of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to thele uc20e 6mtdw-.;xct ground is

  A plane is flying duemn2:8wex2 cc j South ($270^{\circ}$) 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 sp6(. xin/mxaq s-e,pumeed 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 f9s wqd;l:e 7 3arlsfrf9o6g ;wires a projectile with speed 50.0 m/s in we;sg; 69od7wrr al: lsq3ff9a 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 across a river with ezjrnm z1 gbcfb(6*y ,39yd;wa current of 6.0 m/s. What is the speed of the boat as it crosses t e 6n( g;fbw1,z*3drmczyjyb 9he river?

  The driver of a motorboat that can move at 12 m/s in still water wishes tpt.j (/*qrm :d*p-p2-j zsz punyj dw1o travel directmd/j-r(p**ps:tn-q pp2u1wjy j dz .zly across a river 1.8 km wide in which the current flows at 6.4 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 g,,rf7 fwy(qy2lyis- travel directly across a narrow strait in which the c ly-(r2 ,gywsq7fify,urrent flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading direc jdbfr y)qf;p: gg/;-/z *r8kkjbql;ctly across a river 200 m wide reaches the opposite bank in 6 min 40 s. Src/bj glp;kj*)b g8:q;dz ; qkffy/ -rhe is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bank i0dwkob mkd8r 0x(eon3eq*ib 4; zbv/0 n 6 min 40 s. She is swept downstream 480 m0wz80e3kq oboni *4 dmxb(;r/kv ed0b. What is the speed of the current?

  A boat, whose speed in still water is 1.)5p8wdwgbkb+ 75 m/s, must aim upstream at an angle of +bw gdk8bw5)p $23.9^{\circ}$ (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)  $m/s$