Which one of the following is rpviq(o49bd 6vc8lpi 5lo+ /lan example of a vector quantity?

  Which of the following operations will not change a vector j)d;al-ciwi(?

  Which of the following is an accurate stt4ls3vx- kmd 1atement?

  The resultant of two vectors is the smallest when the angle betbdd (15sytm+bbnj a nc4v5ag03 p4-f rween them is

  Two displacement vectors have mag; rlmfu 69wrjbya( 19znitudes of 5.0 m and 7.0 m, respectively. When these two 1 alw(;f6yr b9u9rj zmvectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which oneksm(8-tn(yscb ze159eq s ;lpbxfg *ww ;* 3qq of the following is a possible answer for the magnitude of the resultant1fwme w(p bzex*q89s tyskq(5l n;;qg*cbs-3?

  Three forces, each having a magnitude of 30 N, pull on an object in directxn 5nh7;8llkjq +k 1izions tlh +;zljx7nk5n8i1q khat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, t0gu-s y wx*k8phe unknown vector is

  Ignoring air resistance, the horizontal com 0p7eqw(o (nc9mm wrai7 +1tcaponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an anglissv 8 g7k4o0se 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 projectiip k1yf:m 43hx l;f/tnle's accelerationf h:ym;3/ f4xlpki1tn

  A soccer ball is kicked with a velocity of 2-xj8:7u+ uhjqlki xw85 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 of an object is lx:9(lg,k45 mkxeuutw7 egws: *+rh pdirected anti-parallel to the velocity 4uh9k:ex+5 x,lrl tgkg(7w :w suemp *vector,

  If the acceleration of an object is always directed perpendic+ ho+1( n lnox-+;mzfzly9 af6jpo9vdular to its velocity++-6n 9odhzzv+mpo1 (axlnloj ;yf f9,

  At what angle should a water-gun be aimed ixu gty./:prrecfa2ce7i( * ,)d7 uit sn order for the water to land with the greatest horizontal rg tepu r c)(f/uy:7*xiia d c7t.r,e2sange?

  An Olympic athlete throws a javelin at four mzjfd-xqf3 91zf( wfo,94ddodifferent angles above the horizontal, each with the same speed: 41,ddq ff-z wjfm 9dox9(fo z3$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second timj*5.37rcpqk i.)isootdul2s-( aoqbe. If the ball leaves your hand with twice the velocitya2*c skt. ru.pl(b3ji qs7o)-o5 oqi d it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 msz lu y,6m47oqa)d h1c/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 heighqddg- k;s d7 cwx.bp*/:yelfc 8d a))ut, how does its speed compare to qp/ scxf-k a 8*.d)dc7euyb;wd d)gl: its initial speed?

  A stone is thrown horizontally from the top of+313 qpk juayy a tower at the same instant a ball is dropped vertically. Which object aj3 1+yqyup3k is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a ;espyz7 :7 (l* vqbmsfsecond bullet is dropped from the same heightsl v*z7f( y7s;: bqpme. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speedgrg vyf5a*95cj z12 ob of 96.7 m/s and at an elevation of 144 m drops a package. 6.1 seconds later it drops a second package. How far apart will the t52 zgb5 * rgvoafc1j9ywo packages land on the ground?

  A package of supplies is dropped from a pgm ,j)y2, e:mvr3srtm6tl k/nlane, and one second later a second package is dropped/ ,,yml3s)kvrmt grjn:2mt 6e . Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb fs qnmt+y.ps +0rom a plane flying horizontally at a constant speed. Neglecting air resistan +n styp.0smq+ce, when 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 w3loy/z a49ly on Earth. If you hit a baseball on the Moon with the same effort (and at the speeay/w3lzoy4l9 d 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 rob k5/lrv *qwki2onr9mr 25mi7ad and pass a car traveling at 45 mi/h. The relative velocity of yourq rrk52o i59bmknv2wm l/*7ir car to the other car is

  You are trying to cross a river that flows due south wit9*mmjd jk; g 0ge 1cm,e86thqyh a strong current. You start out in your motorboat on the east bank desiring to reach the 0 mdehe mg681gm ; qjj9yk*c,twest 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 will ithcmq(n1a, tz i6pax 1. take you to move 12 km downstah tq( ma1x.p1nci 6,zream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees belo25vgjki + y6r,h2:jcdisqo. w w the +x axis. The y component of sdg,+jr:hw i6 jyi ko 52q.cv2A is

  If a ball is thrown with a velocity of 25 m/s at an angle d5,:tss13b,mhed d dwof $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line in a .hd oghh, u5euci0abh;9a o*0 direction north of east and you end up 2.0 km north and several kilometecgh bu 5aa;hi e,09.oh dohu0*rs east. How many degrees north of east have you walked?

  A butterfly moves with ahhmyb4 cc/ (th +iht4;d /chc- speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its mi h hth;bc y-dt44m/c+h(chc/ otion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a)1zlgu ;4axwjx:bcp/ level ground. At what angle is the Sun elevated 4:j;gbz/ualx x 1pw )cabove the horizon?

  Two vectors A and B have components (0, 1) :yuwvlf -0 pmemh52su0sa w9c p ;:p9aand (-1, 3), respectively. What are the csflme9pww mh 0u:5 auv p-psa:209c; yomponents of the sum of these two vectors?

  Two vectors A and B have components (0 )l *:9d.wl,khi.xd qx:ikemf, 1) and (-1, 3), respectively. What is magnitude of thed.9f:k.id x kw*eqx) hm,:l li sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector z hg10*3i n/c:al:gfsr1 npja C = A + B . What is the magnitude of C : lj pzan/*agcirg13 :s 10nhf?

  A car travels 20 km West, then 20 km South. What is the magnz2 epd-hh .6u j2saxv)itude of its displacemen2u6z p ax).hdh2vsej -t?

  Three vectors, expressed in Cartesian co(wto63n i3j2+m wvl gxordinates, 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 Cargbtw kn,x gf02 e 86j;qz98 z-bfuoe,mtesian 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 magnitude oj f9r3r+posy nw*4l)ev uh0:w q jcy u6-z)9bvf vector C uqbs)p wr:+h9z ecu *v - v3ro9)4jf0wljn yy6= A - B ?

  A runner runs halfway around a cifq k4zfd7zpv:-j7n7,q0z yz rrcular path of radius 10 m. What is the displacement of t4d-vrpq7zfq,0z:kfz 7yzn7 jhe jogger?

  Two forces are acting on an object as shown in p q p 4k)+)9oyjfsx/4nb rppj-:ig6fwFig. below. What is the magnitude of the resultant forb6)fgp)kowis+ j4 py9:q fpj /rn 4p-xce?

  Two forces are acting on an object as shown in Fig. kt7,: ) trn h4u5:uylrket l3yj 3b,npbelow. What is the direction of the tjlkr e3,thpul )yk3y:: bru t5 ,n7n4resultant force?

  Vector A is 5.8 cm lon5 bk6j zj6,5jqex6ncj g and points along the positive x axis. Vector B is 6.1 cm long and pe 6 jbcjzx jjk5n,5q66oints at $+39^{\circ}$ 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 63 cm long and poin yzt:rixf41ow4*q u.j-ayo ;q5cu:gmts at $30^{\circ}$ above the positive x axis. Vector B is 18 cm long
and points along the negative x axis. Vector C is 28 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 horizontalld6ng cxvgkyzp7. 2oztz-:1m)y with an initial speed of 24 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top 6p:1 gcx zg7k)v-z.oz m2tdy nof the cliff to the bottom to be 2.3 s. What is the height of the cliff?

  A girl throws a rock horizontx8,p gvz8,htig*s-jr/z+wa ;eu qnj)ally, with a velocity of 15 m/s, from a bridge. It falls 24 m to the water below. How far doe)uqpx+ hj8n-jegws ;,z/t 8zgi, r* vas the rock travel horizontally before striking the water?

  A ball thrown horizontally frr6n7c :;1-enh m iaaavfo,g1som a point 27 m above the ground, strikes the ground after travegvsn1rah 1;:, am6 oiea f7-cnling horizontally a distance of 19 m. With what speed was it thrown?

  A jumper in the long-jump goes int:i49 ifey9mzxdpm*u7o the jump with a speed of 12 m/s at an angle of e fx 99mz4y i:iupd7m*$20^{\circ}$ 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 o ade6;nah-b/ with a speed of 14 m/s at an angle ofba- adh6o e;/n $31^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an init+f,m0l,fiwn b ial velocity of 56.8 m/s at an angle of $30.9^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launch+dg.t /8y:krox qw5x sed with an initial velocity of 46.5 m/s at an angle of $32.8^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle ofsq/) pz nalqwaj d,366 $30^{\circ}$ 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 hor ocxap40mv) 1v/lr 8jj0 j7demizontally at 20.2 $m/s$ from the roof of a building 40.6 $m$ 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 frmkb8 4z6 h-bjyom ground level with an initial speed of 57.5 m/s at an angle of h4j8-6 zbykmb $41.7^{\circ}$ 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-.k5luq hbf--hdr 1aq 9m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a co udh-9lkfb-5 q1aqh.rnstant 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 of 200 m/s due North, and is in agb9dej/3 bxx9 1s)ao kb3cg8f wind of 50.0 m/s to the West. The plane's speed relativ xc/sx df8kb)bj9 391e3aogbge to the ground is

  A plane is flying dusdow3hvj/5 u fyf ryr )k90m40e 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 of 120 km/h lxackz15 7je9b,adm8 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 horizo1hm g jkd7q/3tw.fn+s3nqig2 ntally fires a projectile with speed 50.0 m/s in a forward/i3q s.g3f7j1dw hkq+ tmn2ng 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 dg/ ekm(rhch 8-uplfe:9jh n4 )irected across a river with a curren- m 4e/: f8lgkp(heur)n9cj hht of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 17 )6exw ir x/0ri90y pkqm/s in still water wishes to travel directly across a river 0.5 km wide in which thew9 ) i x/r0q6ekyxirp0 current flows at 7.2 m/s. How long will it take to cross the river?

  The driver of a motorbo)(ue0ag-icg+x y o wbn+k:yh1at that can move at 10 m/s in still water wishes to travel directly across ab0+ioh)g1y+y-gu (nc:axkw e 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 direqm9)s mpcv0qeo5pb 6.ctly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water0vqq6omp )5spb .c9me ?

  A swimmer heading directly across a rivft,3 jdu+myb2l8x9 oyer 200 m wide reaches the opposite bank in 6 min 40 s. She is swept doxyo,jdt +b8y9fl 3 2umwnstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.71 m/s, must aim upstream at an angle;ik -f qhov5bx*az -i/9 yeb*p of kb xp/9*y-a i-h v;z5ie*bq of$31.4^{\circ}$ (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)  $m/s$