Which one of the following is anj9onj375v v5h7 ry vli example of a vector quantity?

  Which of the following operations will not ;o. 5ts i+mpvvchange a vector?

  Which of the following is an accurate statement?dg5 v n5v : rrq:tezr0x0n5k;n

  The resultant of two vectour;+uo ) w.q1p1yhh:xxtntyw d0k oo45bw; /rrs is the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respws8 4 hr6shha,ectively. When ths ahw6hh8 4r,sese two vectors are added, the magnitude of the sum

  Two vectors, of magnitudesm4:3nuhln*frzd;n2n /7 mzayixx/ 5i 20 and 50, are added. Which one of the following is a possible ans/zni5l fnd3hxm;r y nni/ za *724u:mxwer for the magnitude of the resultant?

  Three forces, each having ahl19 i.ja +g,(nd:vomi2pic q magnitude of 30 N, pull on an object in directions that adv1,lm9noa ii(cg+hp2 ji.q: re $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown mlg c8 ;dfcv,+vector is

  Ignoring air resistance-,j w ncpae+3s, the horizontal component of a projectile's velocity

  A ball is thrown with ll:hs tcg5q8fe4c: m :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, tk6 cv)wie(ondw pwd3 f pm:slz 9)6o/(he horizontal component of a projectile's acceleration :mzoo6c 6f(9/ ( sw3wlkd )ivwndppe)

  A soccer ball is kicast 5p w+7ep1uked with a velocity of 25 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 directed anti-parallel to th-l/rypaj 9ndb-n: xf(e velocity vectorr-/(9 df pnbnx:ljy- a,

  If the acceleration of an object is always direcpza0ft /cw j)d(1enp-ted perpendicular to its velocityc0ezafn -)wpdt/j 1(p,

  At what angle should a water-gun be aimed in order for the water to l; 1d/t5yjnaizy i8qgs33wj x3 and with the greatest hx3nj ;dq5/isj3ty8a z3y ig w1orizontal range?

  An Olympic athlete throws a javelin at four d35sw/sh2kg j- jq rg8jifferent angles above the horizontal, each j3h 5/-sj g2jg8rqskwwith 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. Ifutr5 kt em*/,f the ball leaves your hand with twice the velocity it had on your first throw, itset,f5 mtrk/ *u horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0.r;nc:k rzgr7 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 reache- z,k6 dfr/(ckp( bfufs its maximum height, how does its speed compare to ik/- f6cp(ub(ffrdz, kts initial speed?

  A stone is thrown horizontally from the zee4 a-g(utngb3il;- top of a tower at the same instant a ball is dropped vertically- e4;ui-eaz t3n (lbgg. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the samk*-nt czsm ew/a+qije7* l+: we instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of then *ce+ktaw +z/:7e m-isqjwl* two bullets.

  A plane flying horizontally at a speed of 88.1 m/s and at an ele d)z.fvcyk3j. a+lzx0vation of 208 m drops a package. 5.8 seconds later it drops a second p+)lv .3d zkzx0y.cfj aackage. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and e-sjjtjjzy+k i4/a9 9xt2l (v one second later a second package is dropped.ea4jis ( tt/9ykjx9- vzj+ lj2 Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a cons:mip1v3q3x 4/z u-p um wo(fk6pb)x bwtant speed. Neglk4f zww6)3-x/qp iboxmu1u 3p(b: vmpecting air resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon idll 7hsx 4-nb;ai np47s only one-sixth of that on Earth. If you hit a basebal7sanlhbd- i;pln47 4x l 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 the +x axis re rfm d/.skv7j6ba vm)9lative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other car v7m) b/vfsk9 ajd6m.r is

  You are trying to cross a7y q*z)b 5e ;m t2tlixye/b5wl river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting pqi72y 5t;/yxt )lw emz*l5ebboint. You should head your motorboat

  Your motorboat can move at 30 z luns;e+y4 n9km/h in still water. How much time will it take you to move 12 km downstr sz4;yun9e +nleam, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 ded *wqh -+hv9ow4obevtcu) ; l8grees below the +x axis. The y compono-h9v *d uo cbe8hqt;wlw+4 v)ent of A is

  If a ball is thrown with a velocizo9y h fduk 5w/a(+*n-;eqroz ty 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 a straight line in aro;r a;b*sk )qo to72h direction north of east and you end up 2.0 km north and several kilometers east. How many degrees ho ok*2)7at;osrb ;r qnorth of east have you walked?

  A butterfly moves with a speed o;rans 1:w+nxrf 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis mu: na wnrs1rx+;st be

  A 400-m tall tower casts a .h7gimufig(ha)9 j o:600-m long shadow over a level ground. At what angle is t: a)gomhjhf.ii(u g79 he Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, rf;-jkg o../7wb u* 3rpbzo ru3), respectively. What are the components of the su. 7- .w3* ufuorz;b bko/jrrgpm of these two vectors?

  Two vectors A and B have componen5gux n0yy5w n-ts (0, 1) and (-1, 3), respectively. What is magnitude of the sum of0xn5w5- ygnyu these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What m* pimo /5g1tf3q8 dvd1sg2nrckn)a * is the magnitude ofravfpd8qstn5i32m*)dkmn ogc1 1 /g* C ?

  A car travels 20 km West, 1oqhu*rn55, doxt (gl5o 2nzothen 20 km South. What is the magnitude of its displacement?olox*d5 onz1nr (5,hug52 q ot

  Three vectors, expressed in Caf o32t4c9caobrtesian 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 coordt/:a 4zx1neq ;yom3q) 4w g -voakx9hyinates, 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-wz 8jkc.wxqq-aq8q;s /x 1f g.0) and vector B = (+3.0, -8.0), what is the magnitude of vect -qkqz/8;axw jqc f.gq-sw18xor C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is t i2g 3buxvdk29e5z3afhe displac3igf vaz329 5de2ubxkement of the jogger?

  Two forces are acting on an object as shown in Fig. befxc((4wg5 ( xrk; /bhdmoq+o wlow. What is the magnitude of grc4 d ( w/bo5f hoxx(;(q+mwkthe resultant force?

  Two forces are acting on an objecl)f, c a5fn h7qbxgo -mb,k a(6j(esf5t as shown in Fig. below. What is the direction ofb(slmfhx-qjo c7ab5,fag n) 5k(f e6 , the resultant force?

  Vector A is 4.5 cm long and points along the positive x axis. Vector B is ug8-hk 2onp 3v9.3 cm long and g3p ku- n8oh2vpoints at $+49^{\circ}$ 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 89 cm long and p55u78 asx gsd c * odv7d.0q+*pmhssedoints at $30^{\circ}$ above the positive x axis. Vector B is 16 cm long
and points along the negative x axis. Vector C is 32 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 horizon,:kr c-*kmyu ntally with an initial speed of 28 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 3.2 s. Whmry ,-un ckk:*at is the height of the cliff?

  A girl throws a rock horizontallf6*e.jsk /lm+rkmem+2 v fn+ly, with a velocity of 17 m/s, from a bridge. It falls 14 m to the water below. How far does tl+2lem j +n s6f+*k.fkrm /evmhe rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 27 m above the groundf6g.xrdzz ( gci-08p g, strikes the ground after traveling horizontally a distance of 19 m. W(0pz.gr- gzdi6 xcfg8 ith what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spee4mjy bx1 eptf80sq i g)i;sd32d of 12 m/s at an angle of ;gmy)204xp eisj i sfd8q13b t$20^{\circ}$ 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 1 /t2psd0qnnka )61 ,u(4a4ql nwtxwmr2 m/s at an angle wn10r t4 nmuql/(a2)swtpxn 6,ad4qkof $36^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wi0yvst *v4 ys68a hx9f 4zjd8vnth an initial velocity of 55.3 m/s at an angle of $36.7^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 48.2 m/s)t(t:wws ebi9 at an angle of $32.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired aprwj5(6y n6r wpj 8:yot an 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 horizontally at f+s.7jv;bbr;t7uj wx 18.8 $m/s$ from the roof of a building 50.4 $m$ 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 54.0 m/s a( r6pw/cq8j(tm t fwr/t an apt t(f/w8rwqm/(r c j6ngle of $47.7^{\circ}$ 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-m race at a veloci0ovi sor b)j39ty of 4.0 m/s. If you ran the same race on a day when you had a 3 )o9osri0bvjconstant 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 dum1e(w k9.-9inp enie ;wj2 ijfe North, and is in a wind of 50.0 m/s to the West. The plane's s ; m.w 9 enkj9ewn-j1pefii2i(peed relative to the ground is

  A plane is flying due Sou6csy u/l:19utxtb0 n cth ($270^{\circ}$) 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 he.pst r -rw(ot4tk, w6jaded $30.0^{\circ}$ 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 speed 5sg s1wrm. -)i;pmfl7auf l87 v0.0 m/sag7w fs;-i1lflr 8m7p muv) s. 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 is 8.0 ,5kgm:,6vzi :bsucy o kata z)*m2 l,cm/s, is directed across a river with a current of 6.0 m/s. What is the speed cv oa:*,gzkkc,:2z 5 ts am,y m)iub6lof the boat as it crosses the river?

  The driver of a motorboat that can move at 17)pyk:q-(i8 vg0m.hxz yfj 7dt m/s in still water wishes to travel directly across a river 1.8 km wide in which the current flowsyy (zf7 )kmdxqt: 8.0g-hjvip at 7.5 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s i mdh5joau/b6: bvc/g6n still water wishes to travel directly across a narrow strait in which the c bd5o j/av6u/b cg6m:hurrent 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 x))o;km6(r ykd+xoq u reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast o)uo dq 6xx(kr;k+y m)can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches tp3l;:a jls) lns;j;)ijk+q lnhe opposite bank in 6 min 40 s. She is sweptn;l;slk+3sq:ajpn)ll jj; ) i downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.90 m/s, must aim upstrea0jmeyf)jo1 2f *:(dn7t zv(gdcd me1agmt7 , am at an angle of d gefj0c,o)v:7 fm7(1m*nazt1 2da ed(jgytm $30.2^{\circ}$ (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)  $m/s$