Which one of the following is an e7ewlqb8 yvpw bop)2- / 5xjh uazb+47mzg+h(axample of a vector quantity?

  Which of the following operations will not change axq99si:h 5dfy vector?

  Which of the following is an accurate statement?,mfq 4c h8jw3hq58 ujg

  The resultant of two vectors is the s9q pr87 gs8vz0t 5igm(uj-jrwmallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. Whenqzs: kz m/p3o, these two vectors are added, the magnitude of tz3o/s,z mp :qkhe sum

  Two vectors, of magnitudes 20 and 50, are addfsf 3zno;p)jpq1 ol-;e/ -djv ed. Which one of the following is a possible answer for thenjz-oovfj;3f ps/1 dqep; )l- magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object s)msz8z b2 tw-cf,+ fdin directions that are s8fbm) - z2ds fzc,+tw$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector ;1b /nqvcr9/7 uzsuigis

  Ignoring air resistance, the horizontal component of a projectile's xth8rq:hqyz84 xx.n-xm p/ z pzn*q82 velocity

  A ball is thrown with a velocity of 20 ( .t;n lg1p)vqsos9x ym/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, tb6bip4s9r c-ghe horizontal component of a projectile's accelerationbcibs- p6 g9r4

  A soccer ball is kicked with a velocity of 25 m/s x. c40bhanu+mns uk38at 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 dire-idx 5xs8p 8rjcted anti-parallel to the velocity p5r-sx8x8 djivector,

  If the acceleration of an o)rmfyo* 9y 2ujp-n4g7oc x3v,aln bt. bject is always directed perpendicular to its velocityl, gp.ycn o9v4ya7 2u3 )mf nr*xjob-t,

  At what angle should a water-gun be aimed in order for the wm803k(xws1r qq 4uwy*;- d(a aeanaqoater to land with the greatest horizontal ranawo8(n;ey suq rdaqx10ma-3k *4 aq(wge?

  An Olympic athlete throws a javelin at four different angles above the hor)k4w3nkt q)7cd de6vk p u1t/nizontal, each with the7 tnqep3/) dkdu4)kck 6nwt1v 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 ball leaves your hand wi0n jtlat+v x*:th twicalvnt *0 j:t+xe the velocity 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 m/s4qs6pb6dmd0 fa,)t(fr1 kvnwcd c7b 3 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 r3) p ;oopdiipn9p )y;drp+k/e eaches its maximum height, how does its spe;ip ioeppp))orp3/nk9 dy; d+ed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower atgv/xypz iw 8g.a8b4y, the same instant a balyv 8gw .4azgbx,/ y8pil is dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bull/*tv8)6 s5jr y ifbyt3n ieur;et is dropped from the same height. 6 u3t;tn i5jv*8yfir/esyr )b Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at0w4 s 7jsn pok vjulxuub6-.o,kp3;8f a speed of 52.0 m/s and at an elevation of 297 m drops a package. 4.3 seconds later it drops a second package. How far apart will the two pack. 4 o3,u0wuxp;jkkns-8ps jl7ufb6ovages land on the ground?

  A package of supplies is dropped from a plane, and fyq* zdt8p1g9 one second later a second package is dropped.fzp8yt19d gq * Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at xo //s 18mgkzpa constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of /8xmk 1/poszgthe plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. 9ceatq :9n4kq+ vvmn0 6av pa3If you hit a basebv:nnmca9pv 3te +vqq9a0 a46kall 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 the0o ip*1cg7h wy +x axis relative to a straight, level road and pass a car traveling at 45 mi/hw h g*oci17py0. The relative velocity of your car to the other car is

  You are trying to cross a river that yrgh ;7pr) *;,xjtcqyflows 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 poin* pcgy;x)q,trj;7y rh t. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time wif3zvs k1/ xb;nll it take you to move 12 km downstream, in a river fl 13n ;xksb/fzvowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angl08k a2q2rrtn pe of 30 degrees below the +x axis. The y component of pa80r2 t nqrk2 A is

  If a ball is thrown with a velon/e om0dby ,1hwl)zgoh9 k. ;im:hfm 5city 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 a ;kpkr, w4t-gh direction north of east and you end up 2.0 km north and w,;- kp hrktg4several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its veloczn9sm7205y8 2wascal fm sr t5wfi9(yity is 8.00 m/s. The angle between the direction of its motion and the x axis y2z5 27mafws9 y f8 wi50srln9 sac(mtmust be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what angle/2yp3k;qc c 0y46fzgljb(xyaas9 op( isy j9og6c3b yfpy/lq4 czax0 (s(;pa2 k the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1,m+ jxm a* yn9 39rrvco,dc/e,hh9p( fa 3), respectively. What ar/a3mh dvf(cpj o rx9*n,eah9r9yc+m,e the components of the sum of these two vectors?

  Two vectors A and B have componentshrku a4m ,u0u:1f *eoq-wyy7uchq i ,3 (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vectorsouea*7y-3hy:r 4qq uwk,u ,0 h1cfmui?

  Vector A = (1, 3). Vectorw8s8s i7 *cgsto,jurz5 i, *zr B = (3, 0). Vector C = A + B . What is the magnitude ow5,g,t u cs*o 8z87zr*jsiirsf C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displeg*hk7c. rxr5 acemen7 gr*cx k.5reht?

  Three vectors, expressed in Carqv+q(35/j 3dwb,cfsm6k*tar )o ph 5piig(bztesian 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, expressea-xwc m;ql+w1 d 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 vector B = (+3.0, -8.0), what is the magnitude oge p-7fwhi /-ef vector C = A - B ?7ep - ge/i-hfw

  A runner runs halfway around a circular pae:qja lse9ehd) l-fky.a 1(n.th of radius 10 m. What is the displacen9 s:dqjaelefk1 .ay he( .-)lment of the jogger?

  Two forces are acting on an object as shown in F:x)2z* h2 exr4 ivo +vukcuum2ig. below. What is the magnitude of the resul22vvhe m)u: kxruzco2*+iu x4tant force?

  Two forces are acting on an object as shown in Fig. below.ap*nn* 9ks*hn What is the directio*kphnn** a s9nn of the resultant force?

  Vector A is 5.7 cm long a nequ /fw0c2b9nd points along the positive x axis. Vector B is 9.6 cm long and points ab/9ufwnq2c e0 t $+57^{\circ}$ 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 76 cm long and points at2x 0lb 9onlvt/ $30^{\circ}$ above the positive x axis. Vector B is 18 cm long
and points along the negative x axis. Vector C is 24 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 initiz6o q16.f*z -xcq 3 ouayl)irhal speed of 27 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 4.2 s. What is the heightfl36az yx .)rou*hq 1 o6zicq- of the cliff?

  A girl throws a rock horizontally, with a velocity (q*m+s*umhf h of 16 m/s, from a bridge. It falls 20 m to the wate+m uf*hmh(sq* r below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 29 m above the ground, str4q3+. c -ut( vtoqakwrikes the ground after traveling horizontally a distance of 19 m. Wiq+w cr(ku-4qt o. v3atth what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s el( rzj.)68jo1hga plo3mah,at an angle g aaz,8 jpoh1(6el3.lrojm)hof $20^{\circ}$ 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/se+hpgc sg2 0q* at an angle of +c*q g 2gpe0sh$29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wi13. i5x jsiqpvth an initial velocity of 46.9 m/s at an angle of $40.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launcheg q2lly; tna1:qm9zcnz,2lh3d with an initial velocity of 55.2 m/s at an angle of $44.3^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fireq7(gd:n31js1 ow rd osyg7f 9zd at 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 horizous 60jm yp)1dh egb7oru5v(g.ntally at 25.4 $m/s$ from the roof of a building 51.4 $m$ 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 sqr1svg60mjvp on -*nbeq55 4 me(o r0ppeed of 59.3 m/s at an anglvee65 p0pmb*1roqmgor 0-n4 vjqs5n( e of $39.5^{\circ}$ 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 of jv5n 1h)k4gi 6fpb2k roi0lg3 4.0 m/s. If you ran the saml3n k06)1khv f 5irgig4bjp o2e 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 ing7v gp7j46bywv. a1f m a wind of 50.0 m/s to the West. The planf7p4a6mw jbv7g1yv.g e's speed relative to the ground is

  A plane is flying due So*xjd 4b3hc1 bbtk-;/ hqux)azuth ($270^{\circ}$) 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 speci)eno/f xj9w2bb;cthh ; +kh o)5.y zed 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 pr )7s,lbbva up4y*j.ezojectile with speed 50.0 m/s in a forward directiolepv bjb7*)as.y4 u,zn $30.0^{\circ}$ 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 ac6hikx;b.m n/kross a river with a current of 6.0 m/s. What is the speed of the kikx/n;bm 6h. boat as it crosses the river?

  The driver of a motorboat that can move at 9 m/s in stilenwc2m (lo i03l water wishes to travel directly across a river 1.7 km wide in which the current flows at 3.9 mec 03l oiw2(nm/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10q97t/sx sd *se m/s in still water wishes to travel directly across a narrow strait in wh9 q7dst /*sxseich the current 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 reaches the opposite bank i+wx* zzxbc/s wyf0prrr56 h(0 *06x5c rfrw(wzs0p z/y hxbr+n 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading direc*oqq 0x/ rlxmgn:h1d 2tly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Wh*0m/ nhd1lqq :or gx2xat is the speed of the current?

  A boat, whose speed in s kg683,qldjjztfu 7fc wl(--gtill water is 0.95 m/s, must aim upstream at an angle of t,(gll36fc 8kuwjfd-g zj-7 q$31.3^{\circ}$ (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)  $m/s$