Which one of the followin ( nn9lbyvycu jm* gt/i26p8l(g is an example of a vector quantity?

  Which of the following operations will not cqsau .,s7b modj1 cd5tm:nb4 (hange a vector?

  Which of the following is an accurate statement?olbn+3kwz h;m*x2ns *

  The resultant of two vectors is the small xalte-ng eftlz 9(er3w r79*7est when the angle between them is

  Two displacement vectors have magnitudesuafzw+ltm)0-dpf5 -/p; gl wd of 5.0 m and 7.0 m, respectively. When these dgdlpzff luw5w;+p) a/m0 - t-two vectors are added, the magnitude of the sum

  Two vectors, of magnitrnv,2bw f0qv 7udes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the resultant?r7qwn2 vfb, v0

  Three forces, each having a magnitude of 30 N, pull on an object in directioni68 ,rqi/dn jds thatndj/8i rqid, 6 are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unu tz,o(adzv 24known vector is

  Ignoring air resistance,cjp j 263j vydk8;o-bpopvdifxi30 .5 the horizontal component of a projectile's velocity

  A ball is thrown with a veloci,nbbltd1hbs45r 4c0 wsj fs7* ty 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 oa g,rjrav 0q6;f a projectile's accelerationrvargaq6j ;, 0

  A soccer ball is kicked with a velocity of 25 m/ l8w tl8xcq6l0s,neb -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 directed anti-parallel to the v,4li*d( b6n.qvzc exdelocity vector.d6v,di( zce l*qxn4b,

  If the acceleration of an object is always directed perpendicular to its velg)qs4 vo lg;k+di7i kqf5 7m.wocity liw7+q kqvi)sg. g7f5kd4 m;o,

  At what angle should a water(2y; laqy*8vl,k-i pgpnj(c m-gun be aimed in order for the water to land with the greatest horizontal ran(gyajpl* ml;y ikqv2c (-np ,8ge?

  An Olympic athlete throws a javelin at four different angles abov/*cx4zdyxz,rs lf)t y l-on8*0g 1knh e the horizontal, each with the same speed: 8xt* zx4dsocn-ly,z*1hl n/r 0)fyk g $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 yom/ .orx7gcit8ur hand with twice the velocity it had on your first throw, its horizontal range R xt /oirgc8m7. (compared to your first serve) would be

  A ball is thrown at an original sp)mgr*8mrn-3wu-;3l vurc t pt eed 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 its maximum height, how does iq mc+p*ap sfk8eoiof58+ev2kajn:r3g8* a k :ts speed compare to rv i3k+f j:sq2 5:*kg8 aknoacpap fome+e*88 its initial speed?

  A stone is thrown horizontally from the top of a tower at tv) 3y0 8/7lnqhsj08l prkiezx he same instant a ball is dropped vertically. Which object is travel) lz kiehs880/vj 73xp yrq0lning faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullei6cvyzkn1o) x(n --gb t is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bunv-o6 zk-xg)iy(1bncllets.

  A plane flying horizontally at a speed of 81.1fqee3u v 1p-br),oe5b m/s and at an elevation of 205 m drops a package. 7.6 seconds later it drops a second package. How far apart will the two packages land on the ground? f15r bq)poee,ube-v3

  A package of supplies is dropped from a plane, and one sec 0 vp51m nfl2mxvgsn:(ond later a second package is dropped. Neglecting air resistance, the dist(sv2x0np : vfmgm1l n5ance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at av py6qclaaq89*e;b /u constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location 86ev9ypc b*/al aqqu;of the plane will

  The acceleration of gravh.le o5d/ccqvr )y07q ity on the Moon is only one-sixth of that on Earth. If yodc5v/ocq y 7hlq re.)0u hit 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 thho/e(1r t mflc-6 og5 k+uzq;he +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car(-o e+gkohqurc;f6t l/5hm z1 to the other car is

  You are trying to cross a river that fl,-mxki5py6cf w cuwpl 0lp,nc.+ /x x+ows due south with a strong current. You start out in your motorboat on the east bank denp0+wuxxym5 cp-.i kf,xl c/c+l w6p ,siring 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. How much time wiivknwp8- 7jj0-w ot-h+h qh6o-it+ptll it take you to move 12 km downstream, in a river flowing at 6.0 km/kw o+ii6 jo 7-h v p+hpht0jwtnt8---qh?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below uthlzbm7ot1 s( o2rcz+7 qx4*the +x axis. The y componen (q *tlrm7uotoz h4+xz1c7s2b t of A is

  If a ball is thrown with a velocity of 2sql - q2ecilow zop5 0ei,(p(, cg6-id5 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 eanbq/h3e02 wzv st and you end up 2.0 km hb qv/02 e3wnznorth and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a spv)-v ft.dt q9peed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its mdv f9t. t-)qvpotion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow v;fvd veibtz57.9m5 aw /amz7over a level ground. At what angle is the Sun elevated above thw f7b vt9za;5vmma5veiz ./d7e horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respecxh)k6jjd c// ycfs((ltively. What are l/ j6 fjk/)x(d chysc(the components of the sum of these two vectors?

  Two vectors A and Beq 9fg jc9l 4or/.hx/c have components (0, 1) and (-1, 3), respectively. What is magnitude4e/ lj. h/ocg9r9qxfc of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the m5h-h0ie wn.n7 wpm4r om8g-pbagnitude o8 on-mww7r.-ipn4e5h hpgb 0 mf C ?

  A car travels 20 km West,shl. w. pv7h2yv6a4eh then 20 km South. What is the magnitude of its displacshvhvay pe 26.wl7 h.4ement?

  Three vectors, expressed in Cartesian coordinates, aremjs( aj7q5tmr38 w)35uylkuo
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 is./aog rc/icn++y0jan 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, -4.0) and vector B = (+3.0, -8.0), what is the d :en,n)r *i*sz)b ew/1hekicmagnitude of vectn1*nw z)ee cr):i, sih*be/dk or C = A - B ?

  A runner runs halfway 4+jesmvilw/u8xi. g. /1 w yoraround a circular path of radius 10 m. What is the displaceme/v.4r sxmgiyuw.oi /j w81e l+nt of the jogger?

  Two forces are acting o8f;egvoh n;-rwd-y gb 2-t r+tn an object as shown in Fig. below. What is the magnitude of the of- ydv; h8--;rg2 ttgerb w+nresultant force?

  Two forces are acting on an object as shown in Fig. below. What is th3( ymhuda17v ur+5 dzee direction ou3 uy5(r+ma ze1h7vddf the resultant force?

  Vector A is 4.8 cm long and popi yoz8p29 m.yints along the positive x axis. Vector B is 6.6 cm long and poin i2ym. p9z8opyts at $+37^{\circ}$ 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 66 cm long and points/8p3 i3crarzb3/p05hv0n pkzw*gxap at $30^{\circ}$ above the positive x axis. Vector B is 24 cm long
and points along the negative x axis. Vector C is 31 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 horizontall uj,r k+ow5h)zy with an initial speed of 29 m/s from the edge of a cliff. A stop watokjw+r) z5u, hch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.6 s. What is the height of the cliff?

  A girl throws a rock hoz ;,v,adcab jil*;yqxph7 . u*rizontally, with a velocity of 11 m/s, from a bridge. It falls 28 m ;cau x.zhq*v 7, padib,l;j* yto the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 26 m above the g7svmb1wbgd1* + ru ,xvround, strikes the ground after traveling horizontally a distance of 21 m. With whats+vgxmdb *v1r, b17uw speed was it thrown?

  A jumper in the long-jump goes into the jump with a sp( dsh8/demzhloz 2dk 8o+)8yreed of 12 m/s at an angle oh/os8 8z 2r+ hzk mlddoe8)yd(f $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into thn h)kh2ssc2ni9 ds:- ae jump with a speed of 9 m/s at an angle of 2csska2di hn9 nh s-:)$35^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 57.1 m/s at an cvao* u4j;ry0yha x ;a;b;u2 mangle of $32.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with b(e)cf nz vu.+an initial velocity of 36.3 m/s at an angle of $41.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at a w g f/rv30pc7xd*f-tgn 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 horizontally1*l*uq utb sng+qv4pfanbsmi b64/+ / at 25.3 $m/s$ from the roof of a building 44.3 $m$ 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 inite.biqi+,wy (h ial speed of 63.9 m/s at an angle of + ,bhey(iiqw .$44.6^{\circ}$ 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), yougy 7.5omjikif(48wsm can run 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 i ik4sm5mwy o.j8f 7g(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, and is in a wind of 5hr. g 5vy-vf/s)ttwi cb3++ow0.0 m/s to the/-3o+sfwvr tgy)ch 5vbt+ wi. West. The plane's speed relative to the ground is

  A plane is flying dueov8b)rpfaw1) 8 upwc , 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 t2 v bd2kvd4yyb;.o e;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 speedx0-uky : ilo;h 50.0 m/s in a forward directio: u-ylikhx0o ;n $30.0^{\circ}$ 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 direcod 3v7bptp3- cbf( to3ted across a river with a current of 6.03f3vtdp( tobb3 7c po- m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 15 m/s innaq h6p7ce b4/ still water wishes to travel directly across a river 1.8 km wide in an4be/76 phcqwhich the current flows at 5.3 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 bzsa/1 wv.z,cwater wishes to travel directly across a narrow strait in which the current flows at 5.0 1z,sc.v w baz/m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the oppositei;.cfp;8wy mlv kec y;7if 5,lnd,3ov bank in 6 min 40 s. Si;3vow,nl;ym,fk v7lifc 5 ypd;e8.che is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading dir um ontryu6-queupw /y.) 5t8 7if8bm:ectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of thewu .86be)o yp8i-7qunmr/ttmy f5uu: current?

  A boat, whose speed in sti-i+l i, rq(koal(le)oll water is 2.03 m/s, must aim upstream at an angle of al lol(qoii) (+-,ekr$24.4^{\circ}$ (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)  $m/s$