Which one of the follow:vok+mt j4 tf5ing is an example of a vector quantity?

  Which of the following operations will fs72(hedk .hyez* pxc) +/qrinot change a vector?

  Which of the following iowpb, /*r 8i0m ;z6 njtxfd.zfs an accurate statement?

  The resultant of two vectors is the smallest when the asu vsrrp: zcet, 2:41hngle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. jxeb(cj.v;. q q4o ; mkees/)i When t;me.ve sq4q/;()cj kojbexi. hese two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the followinrq6; /vape 2u*blidw -uugg5. g is a possible anr i l26;/aubpgu5gv-q*e dw.uswer for the magnitude of the resultant?

  Three forces, each havinmmg)0wp: d;n nn46vm/alp j9ig a magnitude of 30 N, pull on an object in directions that ar9lp dg6n4wv;m) /im:0a nnmjp e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecmv idu(tdx y mt56r*l8l+9*xf tor is

  Ignoring air resistance, the hojilyitjc-w)(5 9khlh6 rgl +(rizontal component of a projectile's velocity

  A ball is thrown with a velocity of 2 ewoy m7n:9/0jz//s b1f,vd rpo6r frw0 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 xtde .*.bcy,psqw7k/fw357 ur re df(horizontal component of a projectile's accelerationf7tu epyxs d,*cq3kfer/r w .7bw5(d.

  A soccer ball is kicked with a velocity of 25 m/s at anzxt (8o.0.xwxqyfi70 (xqgf y 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-pcns 2p t5.0v(w vr.hnwgva3s*arallel to the velocity 3w 5twvcsn0s2 a .pvv*hg.(nrvector,

  If the acceleration of an object is alfki -me8f-h:xvh og. es y7:3oways directed perpendicular to its velocit:h s 78m.fioeef-kv y:ogh3-xy,

  At what angle should a water-gun be aimed in order for the water to lanl03ov o u(1sj83 znaed 3d j2v1zjc4c1fgl8ovd with the greatest hord z so1 v v(zcv3138j0uo183lfj nd4ajoc2eglizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizonta7kyi 7ee0gq(dd)+ a fsl, each with the samfi()e+k7 qe0s7dgd aye 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 ball leaves your handq;m:1uv; fu7 ny*56 acjsr -ku pi-xlh with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would b;1c5nm;kuij-- paf shv6uqxu: rl 7 *ye

  A ball is thrown at an original speed of)s:,dnoiyar+ 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 max; -*; doqdfw,nc5yfn mimum height, how does its speed compare to it *dn o, ndcffm-;5qwy;s initial speed?

  A stone is thrown horizodsy ve))9k l(bntally from the top of a tower at the same instant a ball)ysl bk)e9vd( is dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same i glt6 .du7soal57 j-txnstant a second bullet is dropped from the same height. Ignore air resistance. Compare the7tuj.65 slt agd-x7ol times of fall of the two bullets.

  A plane flying horizontally at a speed of dbra)f8unzb-m fgo14 7-j ym 6m; 9uhf115.0 m/s and at an elevation of 201 m drops a package. 4.3 seconds later it dropmo mhf uda ug;zjr96y7-mb-n4f1f b8) s 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 second l bd92b8;jvvg k3t ,u gd8c)gnvater a second package is dropped. Neg2g83ud,vgcjb g;) 98nv bv tkdlecting air resistance, the distance between the falling packages will

  A pilot drops a bomb froz 5 )p6.jfz1fc hbnoz)m a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plaohn.) zz 5b6c 1p)fjzfne will

  The acceleration of gravity on the Moon is only one-sixth of that on Es gcw0 (*wwjk(arth. If you hit a baseball o*0w(jwg(c ks wn 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 the +qmp3-:s.6i.tf f efpcc7m5j j x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The c7:5q6 .-sej mmic.fp j f3ftprelative velocity of your car to the other car is

  You are trying to cross a jd1.f mcphm.fz(ivm 8:*d 2gv (2o 3wsbqca1briver that flows due south with a strong current. You start out in your motorboat on the east bank desiring to res2.avjoqfb1d * .g mh8 id3b:2zc1(mm(f cw vpach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in stikg-vl1z 7,jp lwub 1o1ll water. How much time will it take you to move 12 km downstream, in a ri,jzpw ko lvlb1 7-1g1uver flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angl yuk;6v9)emr9i: ddt xe of 30 degrees below the +x axis. The y t;:eyxd )imkd6 ur 9v9component of A is

  If a ball is thrown with a velocity ofk 6 ed-:i emdhq-;f0vc 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 of f7gqmiqe;, bzyjv 9*7east and you end up 2.0 km north and several kilometers east. How many v7fb7ge,qjq;i* ymz9degrees north of east have you walked?

  A butterfly moves with a speed of 12.i wnd1eu h y(sql.n/5+0 m/s. The x component of its velocity is 8.00 m/s. Thewlyuq/.ds+n1ni 5 eh( 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. At wha)6fkug (am96t1mtv 4cowi5got angle is the Sun elevated above the hgcik1og 6 4wv)t(6fmuo5t am9orizon?

  Two vectors A and B have comqm/kq7e yq24zg; jxc8ma4 k5jponents (0, 1) and (-1, 3), respectively. What are the components of the 4; 2 azq8kcxq/ejk5 7 jqgm4ymsum of these two vectors?

  Two vectors A and B hav e2p-)uvpvl e7e components (0, 1) and (-1, 3), respectively. What isv)-ee u v27ppl magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vezbzmswhwta;.* 56ut b4/o0hp ctor B = (3, 0). Vector C = A + B . What is the magnitud 5 w6phtmzb0w4t/hu.s; ozab*e of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of ybr(s0z zc4vre/q+5nyse)u 8 its displacement?/sbq)5sr4 n8 c(rz e0yzev +yu

  Three vectors, expressed in Cartesl2,jsvoe; lzw dz1,(tv dq0y8ian 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, expres*y ws aihp(r.djt5r 5+sed in 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 vf+1 2zdx4swt ( *akmfzector B = (+3.0, -8.0), what is the magnitude of vector C = A -2fxzka*(d+ szm 4fwt1 B ?

  A runner runs halfway around a circular path of radius 10 m. *met8szvbj; z, 4-k: zhey.v1d uc-vc What is the displace- z,k8:1ve zv .j-y 4u*mvhecdsz;t cbment of the jogger?

  Two forces are acting on an object as shown in Fig. below. What is the magni y ptatigclq - j,j ;:e7(jb3ov/fu/:utude of the rese ,i;/7gfau- /tltbc(:jujo v:3qj p yultant force?

  Two forces are acting on an object as shown in Fig. below. What is the directi,pv- optlmw3 7on of the resultant forc ,pom-wt37vpl e?

  Vector A is 4.0 cm long and po.pc.1gcyw i:qx7q/tgjb i) d ,ints along the positive x axis. Vector B is 6.1 cm long 1y :)cg7.bqtq iig dcj.xw/p,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 59 cm long and po knk+j(o7 v 3t py9uzc73qu4zqints at $30^{\circ}$ above the positive x axis. Vector B is 15 cm long
and points along the negative x axis. Vector C is 34 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 2s0pl(y ajg /xdosd ; ba617dhqy4 1i15ip7qdk4 m/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 3.9 s. What is the height of the cliff;a/g y qj16( yo 7spk7ddlsiqxa d1d1b4ihp05?

  A girl throws a rock horizontally, with a velo*4jt acko1nsht lep7:9i ov7 3city of 5 m/s, from a bridge. It falls 27 m to the water below. How far does the rock travel horizontast aoi34ht7 kj e7vpc1n:9lo*lly before striking the water?

  A ball thrown horizo ,q54:cm/htxr p2e3uvsb3f t jntally from a point 22 m above the ground, strikes the ground after traveling horizontally a distance of 24 m. With what speed was j4 ,b325f:3rhutp/me qxstcv it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at az cd14uon+tic fu,.d0 n angle 4uuon,1d i+ dcft .cz0of $20^{\circ}$ 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 at an af 6q v9:l,wah0h8(q:s cynua czoci::ngle of :6wc syvqinul : 9h ah,af::(8occzq0 $29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocitz jb(ev+,ft 6wy of 54.7 m/s at an angle of $49.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initiaxus;sr d0 8kox 8hu ;2i3 p/+qy:jngce0 ot3lil velocity of 22.2 m/s at an angle of $39.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle ye /*df:eklf xj6(bj6lebfg7ya .: )n 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 at 16.5qwqty wsa 73kt4 56:nrg o9y2e $m/s$ from the roof of a building 69.6 $m$ 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 speed of 52.5 m/s aa+( an n8lz0/ppyko9ut an 9po0+kaal yz/(n p8n uangle of $37.5^{\circ}$ 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 okcn5q. 7+ejkg f 4.0 m/s. If you ran the s.+7e c qkkj5ngame 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 of 200 m/s due North, and is in a windub*t5b8kfe7 v of 50.0 m/s to the West. The plane's spk b7 t8fu*5ebveed relative to the ground is

  A plane is flying due South (h5,juw,m)o y0/jjyat$270^{\circ}$) 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 is headepa2s qa2+(fg x/q- hwld $30.0^{\circ}$ 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 horizo 7y9e7yg.asszaq pm avua/ge 6(4qz+ 6ntally fires a projectile with speed 50.0 m/s in a forward direction yaazs .a7 7( 6ugyg4p v/zsea qe+69qm$30.0^{\circ}$ 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 ne c ,i5h+(:tqs 23fxd3yxff az2dfx)a river with a current of 6.0 mx5f y+2fezf ,i:d c(2 tsq)xxfhd n3a3/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 13 m/s in still water wis/y m 5g0ptpp7thes to travemgty p75p/p 0tl directly across a river 0.8 km wide in which the current flows at 5.4 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in 8 djah 9j6/ bpjqk b8z3fmyd(5still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driverk(86ah 5 bjjzfd83 /qdpyjb9m head the boat?

  A swimmer heading directly across a ri0u* xuvb wvq/,ver 200 m wide reaches the opposite bank in 6 min 40 s. She is wb* quv,uv0/ xswept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 2 6xuto:4d ek;v00 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the sp:o6v xe;4k duteed of the current?

  A boat, whose speed in still water is 1.38 m/s, m 1nzkl:45,,z rsubaxsvaw /z. ust aim upstream at an angle ofa k w,bzus:1 sa/zr.x,vl4nz5 $30.9^{\circ}$ (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)  $m/s$