Which one of the following is an example of a vector quantityj ;9w3t8pl4 1luslxq y?

  Which of the following operations 6r 5 pr,iubqz0will not change a vector?

  Which of the following is an accurate statement?oe.fg; tv l0q9

  The resultant of two vectors is the smallest when t9vrr4 bcpuqcxk-d/t . ;nng8;x: t j6yhe angle between them is

  Two displacement vectors haqu y-n;.rq. yw/r.zpive magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude yy;ri.-z .wq.pur q/nof the sum

  Two vectors, of magnitudes 20 and 50, are added.my1bv-w*ee1 (60tja .ctwxus Which one of the following is a possible answer for the mc*6 . wtxesew-v j0muy1(1 tabagnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in dihf:j1arfh z9-p8 :ohxrections thatjx h1f:ph- 9rahf8:z o are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, 4 dwy8k( os0vur-o 0efthe unknown vector is

  Ignoring air resistance, the horizontal component o .lm x8h,xil5xe00v/v s9zngm lbi6 m8f a projectile's velocity

  A ball is thrown withwlzs21.zm3sjs /w9v q a velocity 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 horizozbhp9r7gm :591 vlwq v2- yzlkntal component of a projectile's acceleration 1-2l9vzylw7rkq 5g:zm v b9hp

  A soccer ball is kicked with a velocity of 25 m/qrke)7nk l.t4s 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 of an object is directb5sbc76ek1 7b4 n5d9lvh ampu :nba2q ed anti-parallel to the velocity vectopbv:571b4k am9hlu56 beasc27nq n bdr,

  If the acceleration of an object is alwayst+l72cyfs6e s directed perpendicular to its velocitysct+ey7 f sl26,

  At what angle should a water-gun be aimeson/jo8rf8 8v+ xgm+xx;9i ybd in order for the water to land with the greatest horizontal rang9ig 8x8x8+ /osxyf+vmo;n brj e?

  An Olympic athlete throws a javelin at founmhw3:0 fe-3hb3fc ah lvkf*2r different angles above the horizontal, each winw30fl33:h2vmaffh * kb h ce-th 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 fosrdx3yrn,xf/uj4b6od. ; 3b wr the 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 first bjxby,33.nsdd ox;wur46r f/ serve) would be

  A ball is thrown at an original srvh30l l3exw.9y 3hab peed 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 zrh-tp1j, 5ie its maximum height, how does its speed compare to its initial5, hipjr- et1z speed?

  A stone is thrown horizontally from the top of a tower at the same instant a b 3w,solinpt2ho ryiw9+)n0lrw. e n5lrhx0( 1 all is dropped vertically. Which object is travelinsi+9w l0,rnn(owl0)r1wh htnr2ey 3. xipl 5og faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is drop1 .t vncej1eh iv4(;djped from the same height. Ignore air resistance. v ientej; cdj( 4.1hv1Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 61.9 m/s and at an elev(xql) u(wrjym6klbf o1 9ci/f. 7 te2cation of 165 m drops a package. 4.2 seconds later it d) /y mobcl2c.l(e7rkqfi 61u(t jfwx 9rops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, a:):m7qxwup nilu3 (vyfh 7ru *nd one second later a second package is dropped. Neglecting air resistance, the distr77vh:lxmyn puqu *f i:)u(3wance between the falling packages will

  A pilot drops a bomb from a plane fhyewm 4./e 6izlying horizontally at a constant speed. Neglecting air resistance, whem w. 6hzyiee4/n the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. If jm)5mt 8 o)-ulbgxz e8you hit a baseball on the Moon with the same effort (and at the speed and angle) tmxuj5-elbt88z)) gomhat you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level 5r.) niu*zfy:zsz1t kroad and pass a car traveling at 45 mi/h. The relative velocity of your )f *n5zuz:.irs kz1ty car to the other car is

  You are trying to cross a river that flows due south with a strong current. Yvo ghmxuj46 apw.wr8f*6 6 ar,ou start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You 86 oh*6 xvwpjwmr64u ,.agarf should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time w3dh j(2pf3jh-rw;5c in txbx8ill it take you to move 12 km downstream, in a river flowing at 6.0 kmfpd3b5ix3 8rt 2jw jx( hh-cn;/h?

  Vector A has magnitude 8.0 m at an angle of 30 95y gk.5ako8/btr 0 ff9q(zyl8wy v bxdegrees below the +x axis. The y compone90w58/bv5trfq8(xly9kb gy. zky o afnt of A is

  If a ball is thrown with a velocity of 25 m/s at an 6,q 4h hiqs .*+pexogoangle 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 andm4 5dfdpfug a;mua :f(w,-0v v you end up -vma0(w ,gu5a f4f ddfpvm:;u2.0 km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed g bgdvsjn4ir.(z06- 53acf+sjs o*cn of 12.0 m/s. The x component of its velocity is 8. jvgorsincc a(+f z3 5j0sb*4g. s6dn-00 m/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 shadow over a level ground;e)*w;nv r 9mr(iqpy t. At what angle is the Sun elevated abov*( rn9mpr)y ;; wtqviee the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), rex 3,p*,ct xmlxr t4 ah6kq0j p.z*w/uqspectively. What are tu.p,3 mxxx6p*aq/ 0tktlrc4h*,z jwqhe components of the sum of these two vectors?

  Two vectors A and B have compoxvn t2qk5fno,7 bwpa7 9cg,q5nents (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vecto7ob g q,w5 q 9knafvtp,c2nx57rs?

  Vector A = (1, 3). Vector B = (3, 0(o2 t(8wgxa na). Vector C = A + B . What is the magnitude oxga 28na(( wotf C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its g. soskhy k/ /d/w+hf1displaceme/f/d.s+ohyk w/k1g shnt?

  Three vectors, expressed in Cartesi/:s j z8ij5l j)a vo*ye;mcl2lan 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 coordinf7tiyai5hjm)c+zu8 o- 7 xw2yates, 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 th kpgel34vj:.ad)wt0jr8 y pb2e magnitude of vector0)w d4avjjyk:tp32.lg8p rbe C = A - B ?

  A runner runs halfway around a cir( ;ldiqhpa85y6c(e5rqpko d:1 xg n8lcular path of radius 10 m. What is the displacement of the jogg6y kpcol8dg85 ;an d:q(hr qe(pi51lxer?

  Two forces are acting on an object as shown in Fig.; 5olen7ciez 4 h*v1 qzm rh1qk+mn(t5 below. What is the magnitude of theiq5n5ml t47zze+1 hq*ve;c h(m1n rko resultant force?

  Two forces are acting on an object as shown in Fig. below. k:y,xh ;g.0b1b0xj 1+)mqdoqnbq,lf*dr jp y What is the direction of the0 y0 nhb x*qy+:jpdlrkgb1o1q) q;jd.b,fxm, resultant force?

  Vector A is 5.1 cm long and points along,5kcpp4 z3jh 6 g:fxfz the positive x axis. Vector B is 5.3 cm long and points at zgf :zfpx c,jkp4 36h5$+42^{\circ}$ 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 82 cm long and l.-f fluq,t3jsma/ : cpoints at $30^{\circ}$ above the positive x axis. Vector B is 15 cm long
and points along the negative x axis. Vector C is 26 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 19 m/s from the edgu.v6kws/s e. dhcgo3+ gm,qm,e of a cliff. A stop watch measures the stone's trajectory time from the tos.,o m3+ 6/usv wg,dcq.hkmgep of the cliff to the bottom to be 2.9 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 14 m/s, from a 9mt)/)m 3 mr8rmyn/sky . 7emrrme5ylbridge. It falls 10 m to the water below. How far does the rock travel horizontally before strikn7mm 5e8.)e)l/rm 3tmym/rmrs9 r ykying the water?

  A ball thrown horizontally from a point 19wt,lysji d s q4y5f:/tujx co *-i+87u m above the ground, strikes the ground after traveling horizontally a distance of 21 m. With what speed was it thr,x7 s l/8iioy-us4cw:*ujtd5 t+ jfyq own?

  A jumper in the long-jump goes a/,q 5-jfhs *8ahe iviinto the jump with a speed of 12 m/s at an angle oe, s *-5favq/iajhi8hf $20^{\circ}$ 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 4kywmvg le r)+nyg i6gv(6)* xa speed of 9 m/s at an angle ofikmgrwv*gynyv x6) e(4+6g)l $30^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocit2diyrd)b (pak n74no2y of 50.6 m/s at an angle of $31.7^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 45.0 m/s:rwe nktcie-4)f r 9b1 at an angle of $20.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ajw/ n .+zdwha 8w+ktckw r(,ygx,1b ,vngle 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 horizontally atf jbvmb(xao *h*3x* t2 25.0 $m/s$ from the roof of a building 38.5 $m$ 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 of 57.9 m/s at(p 0quo3hj* ut an angle of 0ouh jqu3t*(p$38.2^{\circ}$ 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 at a velocity of 4.0bf: (gip3z;vaxpi+r, dfgq) - 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, the time it would take you to finish would )pz igfvrqfd iap+ x; (,b3g:-be

  A plane has an air speed of 200 m/s due Norgwmf.; 8qzq: kth, and is in a wind of 50.0 m/s to the West. The p f;:gk. mz8wqqlane's speed relative to the ground is

  A plane is flying due South 80xhkjb yc/4n($270^{\circ}$) 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 of7lwfb3(z80a yqows5 a 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 hori ai5 i3ycr6vo*zontally fires a projectile with speed 50.0 m/s o6 ryaic5*v3i in 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 iskl 8iubqx52 dd3a44 n1tx-ar( a1ybrn 8.0 m/s, is directed across a river with a current r(rn5 4aqt4xiudkal 3y1 b8xd12b-an of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can 1pf 1rr q0fe5fxdley. ot/k +q(x:8i umove at 16 m/s in still water wishes to travel directly across a river 1.2 km wide in which the current flows at 6.0 m/s. How long will it take to cross the riv11 (e/+ :ro xdfui 8 klyx0f5tprqe.fqer?

  The driver of a motorboat that can move at 10 m/s in still wat n2ww 85i)bcbp*ocm)hdm0dvi wo2z 4 +er wishes to travel directly acroc))nc8i22z 5d do4mwwo*i pwbhm 0 b+vss a narrow 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 rea,(ogvc l/pjd,xc/ c 3xches the opposite bank in 6 min 40 s. She is swept downstrea,,3c/(x jpgc/ov l dxcm 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m zt*jhttq 6)m/w; j iq7n;7*kyg*j pehwide reaches the opposite bank in 6 min 40 s. She is swept downstr7/tm 6htei jq*kqj* 7j ;ygz*p;twhn)eam 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.66 m/s, must aimcice;97o r*bz upstream at an angle ofcbz* 79 ic;eor $31.5^{\circ}$ (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)  $m/s$