Which one of the following is an example of a vector quar6imctx,-h g* ntity?

  Which of the following operations will not chana+ 8xikjuuytwpz) p, yi8k ;0+ge a vector?

  Which of the following is an accurate statvbnzqdw7,2zfn k (6z,ement?

  The resultant of two vectors is the smallest when the angle betwtgz55 z5ec xlxmmn(t z0 tqq5n11- nf(een them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, re.n 3 a6imubi,s-q av.nspectively. When these two ivs.3n6a,i uq-ab. nmvectors are added, the magnitude of the sum

  Two vectors, of magnitudeprr7,:wmiv :g83y 6(ob dvrjvs 20 and 50, are added. Which one of the following is a possible answer f,vrwg r6 v(rj738:yimb :ovpdor the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directyg1 o tt//y7paions that areytp7ty /1 ga/o $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the)x 3hcns4bul ; unknown vector is

  Ignoring air resistance, the horizontal component16z lczhm w0c4t zha7;fdylld5a60 v3 of a projectile's velocity

  A ball is thrown with /1f3kucg tu7vyz:r ;ma 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 horizontal component of a projectile's accelkwy bdui b;-iq hm03iz*5r(y +eration( myhiiw5*;by + 0dzuk3q-bri

  A soccer ball is kicked with a velocity of 25 m/ +m(s19biqz-ftav)zo 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 of an object is directo.nvan pd b-)(ed anti-parallel to the velocity vecto nbov. dp-na)(r,

  If the acceleration oh: *pae1+ia amf an object is always directed perpendicular to its velocitea+i1:h *aapmy,

  At what angle should a water-gun be aimed in order for tf3uc;m nej .44cu1vig he water to land with th 4;4 ufn3ceu m1jgci.ve greatest horizontal range?

  An Olympic athlete throws a javelin at four df.;gl4 hxwm3pifferent angles above the horizontal f;3 .xhm4gwpl, each 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 time. If the bp(sftni c;xob3jb-9: all leaves your hand with twice the velocity it had on your first throw, its horizontal ranbctfn s;: 93b(pij x-oge R (compared to your first serve) would be

  A ball is thrown at an original speed p3.hx2xl3 6u.cyiqyj 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 fih-g,4rhb4 ncheld goal attempt reaches its maximum height, how does its speed compare to its initial 4-cghhh n4,b rspeed?

  A stone is thrown horizontally from the to2/zz( md cos4r8f jng;8qe ;urp of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hitmr ud j842fzzgon; /(es 8cr;qs the level ground below?

  A bullet is fired horizontally, and at the same instan89,jg9q imeoc t a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two,8oe 9jgqic9 m bullets.

  A plane flying horizuy.h)mu(* xxe4un rk*ontally at a speed of 97.0 m/s and at an elevation of 233 m drops a pacy .n4()uxr x *hmk*euukage. 3.9 seconds later 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 sec r xcr8n(2ed,acv- jkze1 gsgg12ye8 :ond later a second package is dropped. Neglecting air resistance, the distance between the falling paeexkd 1gyz rr:8vn2jg,(- accgs1e 28ckages will

  A pilot drops a bomb from a pu1hnz.ly vw,jec(0g 7 .(apa xlane flying horizontally at a constant speed. Neglecting air re(e , .lu 71aghpwy(va c.xjnz0sistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon ir)-iqeu9 ah5hs only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (ariu)heq5- h9 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 road ;q, v*gz(oanr and pass a car traveling at 45 mi/h. The relative velocity of your car tovg ,o;qnar*(z the other car is

  You are trying to cros7uvvuy,(tdk k up3 /x8s a river that flows due south with a strong current. You start out in your motorboat on the /t, u3xdkvu8vyp7ku ( 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 km/h in stiokp6 vjhzr*5vs.(p+/8as tr cll water. How much time will it take you to move 12 km downstream, in a riv.zr5pj8ss p +rocvkvh(*/t 6 aer flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x*allzew*)vftd (ob xhjq//h), .j9z r axis. The y component of wj**9jr. ezq) zod/b( lx thhlv)f ,/a A is

  If a ball is thrown with 7el0bxu li 29na 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;/pvo 9ne4yk pt /tdi( a straight line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of 4ydpt po; /en(tvki/9 east have you walked?

  A butterfly moves with a speed of 1-smj70i 8z szs2.0 m/s. The x component of its velocity is 8.00 m/s. The angle bjsz-si 8ms 0z7etween the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over n h6*3-,eu os-bxu: k:nnxk)eqrd wq; a level ground. At what angle is the Sun d k6n k:uu n3n)reoqs;qehw-:x*b, -xelevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Wh6* q;bov7safr4 h gk;z1.lrmsat are the componezso vq;fr .m64gsakl 17*br;h nts of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), uuq 2sj8hcf h/t)-xs0respectively. What is magnitude of the sum of these two vectors?suq uf/s-x0hcjh8 ) 2t

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is ls5yk -*.jpg 7l )ljlpthe magnitude of Cylgj)5pp.7-j*s llkl ?

  A car travels 20 km West, then 20 km South. What is the magnitude of it km1fihoaf37c-ws4n +i-t0 cgs displacet31 g ws+fmai 7ho-0n4cfcki -ment?

  Three vectors, expressed in Cartesian coordina ld8e.kpaw6)ja6m r j9tes, 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 coord agea;o x(04heinates, 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 magnitude 7r6x) 2u dyudoof ve6ud2r)uyx7 o dctor C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the dyg4z914u w)pr fdih gj:fn (f0isplacement of the4w)rzif9 j0 d(ngyup g1f:4hf jogger?

  Two forces are acting on an object as shown in Fig. below.-o,ensh v cd- 8w*o4gs What is the magnitude ofg,w*4-o oh n 8dec-ssv the resultant force?

  Two forces are acting on an object as shown in qgo vvyh :9q ,r2(/ u0pqu;tcmFig. below. What is the direction of the resul(t0 quqc:mg2 ;q9 hr,vvuop/ ytant force?

  Vector A is 5.5 cm long and points along the positive x axis. Vector B is e6./pj ilzekzs nn)h,6ky3-i 6.1 cp n kk in,ezzie)ljyh6s/36 .-m long and points at $+31^{\circ}$ 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 61 cm long anii wfkn 3 *:bewz 6+xdi-9d3 wds-xg1id points at $30^{\circ}$ above the positive x axis. Vector B is 25 cm long
and points along the negative x axis. Vector C is 20 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 the edge of jz*m( ss /+la;r- astza cliff. A stos*-t;az z/j(ssrlm+ap watch 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 6 m/s, from a bridg0 glw*zbsigi2f22m g: e. It falls 23 m to the water below. How far does the 2g2fsi i0bzm* glw:g2rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 19 m above the gr ;5b-rxk9j mkdound, strikes the ground after traveling horizontally a distance of 20 m. With what speed was 9 dk;bm5 -xjkrit thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s s oxsw-nu., g3sv)pp )at an angle of )p suswnx3 ,v-o.sp) g$20^{\circ}$ 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 11 m/s at an angl8;n6 :au +gvq)u:pjgspdn rz;e of r a :d ; nvzusgu;nq8p:+jp)g6$33^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with pp w, 9mz(q+xw jxu7sa.2ty1e an initial velocity of 45.4 m/s at an angle of $40.4^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity 4+/swa7 : f/zxw rjxjbof 27.1 m/s at an angle of $39.8^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an agut 6-zkr o ;4i4ynnh9ngle 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 hovt;xh-s) uu,xzqu0 + brizontally at 22.7 $m/s$ from the roof of a building 47.9 $m$ 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 speed of 58ze1g 69xcxpt0 emk37h.2 m/s at an anch p706zet1x3x9m keggle of $39.3^{\circ}$ 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 ru2 : dd3nj3bisxn a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed xj di 3sbd2:3nby 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of6q -l(+l fgl/qxpj4ks 200 m/s due North, and is in a wind of 50.0 m/s to the West. Theqjpqxs l k4+l/l6g( -f plane's speed relative to the ground is

  A plane is flying duet)vlw jg;i -;u 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 speed of1dyj;b b;o8f rsk.;e j 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 projectiles2rqxzag : 4k. with speed 50.0 m/s in a forward dirgqszr.a 24x :kection $30.0^{\circ}$ 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 wah.i;rni f fib 6ucmpw.* 6b/nf f1x./tter is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is thefih6wf n ;r/i6/f..u.*m1xn tibc pfb speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 11 m/s in still water wis chu qz1 3:vzxgca7u pfz.,4bc90t, iehes to travel directly across a river 1.4 km wide in which the current flows at 4.4 m/s. How long will it take to cross the river0u,3pquxzivzf czt7b4 ,ac.9g h: c1e?

  The driver of a motorboat that clhq7 ,v 6n zr,*(difmoan move at 10 m/s in still water wishes to travel directly across a narrl*7,n,if v om(qr6 zdhow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading dir; idzjayqx- au5.o(/i ectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast./io -daajxu;yq iz5( can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposikk zk3)9trz k4.+ko fkte bank in 6 min 40 s. She is swept downstream 480 m. What is the s9kk ) r zokzk.3k+tf4kpeed of the current?

  A boat, whose speed in still water is 2.01 m/s, musqg7t7h wd zgsu;;8.m,b7 ng7qkk f8lit aim upstream at an angle ofh mk,dg7 g8w;l8 t7 i7n7s.kbugzqqf; $29.0^{\circ}$ (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)  $m/s$