Which one of the folbckaw i56s: xos*+u9w lowing is an example of a vector quantity?

  Which of the following opm mte,i*o9 p-6 s;vxvoq;fd x:e z*9vberations will not change a vector?

  Which of the following is an accurate statement? mlsn6b az5io4 .86 m63apf*-ochreb q

  The resultant of two vectors is the smallest wheg)8gxz( k4nf.cbe qftqi gvu o7io03r s*m65.n the angle between them is

  Two displacement vectors havedg +9toyegf +fl q4jo7o-e.0j magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of tyl-o e do4fto fe 7.+g9q0g+jjhe sum

  Two vectors, of magnitudrck gt *9uck 9*j;;twpn:g hv/es 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the resul/ t: kvkgccnh;ruptg w99;*j*tant?

  Three forces, each having a magnitude ;uhegu1-jxtx(cl( z)of 30 N, pull on an object in directions that aru huelx;g)c( -z (1txje $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector f* v+khbatg)4is

  Ignoring air resistance, the horizontal component of a projectile's veloycn/s)wv+lks o6z ).bcity

  A ball is thrown with a velocity of 20 m/s at cq xxzx 4iz;wd+;0o o2mjz;/van 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 of a projectile's acceleratilarb;7; ii;+lgx pf ,ionlf abp7ig+lxir;;i ,;

  A soccer ball is kicked with a venq rx x gui6)9 o37dznjj+oy)(locity 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 vectoqe(tcb b, c9k xp1(pox 3rxr.*r of an object is directed anti-parallel to the velocity vector,bxk(obqcr9 r.*(epx1x,t3p c

  If the acceleration of an object is always directed per)tee qo 75tsx/pendicular to its velocity,t o/e5q esx)7t

  At what angle should a water-gun be aimed in order for the water to land with t ggl12t* te;-wf c5opzhe grzog1cegt 2p f*-w5;tleatest horizontal range?

  An Olympic athlete throws a javelin at foue xe7oz)0ep5rez p(o7hnqw.1l40 fp zr different angles above the horizontal, each with the same speed1o7xlpzfe70 eeo p)h erw5z(.0zq4 np: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a balliqd-pju(z14a for the second time. If the ball leaves your hand with twice the velocity it had on your first throw,aq- z(u1p 4idj its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed yenmwgr *ic*5u 1h9r2 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 a ur,o8a5 s956wdypupjttempt reaches its maximum height, how does its spu, dwu oyp86ja 5r9s5peed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instf8j16okj/ qdj8 ilvu99j4xks ant a ball is drop1dsl jf46jkjk o9j9x/i8v8u qped 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 bullet ornu5r0 7ew5uis dropped from the same height. Ignore air resistance. Compa0oeu 7rwur 5n5re the times of fall of the two bullets.

  A plane flying horizontally at a speed ordoy2yi7* mo/5- rtj nf 106.8 m/s and at an elevation of 300 m drops a package. 3.3 seconds later it drops a second package. How far apart will the two packages j7i/ 5r mdy-*nr2o oytland on the ground?

  A package of supplies is dropped from a plane, adgah+( f;yl8i v+y2bjnd one second later a second package is dropped. Neglecting air resistance, the distance between the fal8i2;bfy (vhg yj da+l+ling packages will

  A pilot drops a bomb from a plane flying horizontall0idqgq cp 5p39y at a constant speed. Neglecting air resistance, when the bomb h93dgqc pi05qp its the ground the horizontal location of the plane will

  The acceleration of gravity on the Mog i s.tra: o,,fw3xi1kon is only one-sixth of that on Earth. If you hit a basebalrfii x ,,s t.ok:gw13al 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 relati;fb87 kojoz-eve to a straight, level road and pass a car traveling at 45 mi/h. The relative velocit bjzfoek-87;o y of your car to the other car is

  You are trying to crsh/ 2htshpjtbj/* v)h,p9w:o 0 n rsi;oss a river that flows due south with a strong current. You start out in your motorboat wt/;0vh pj/hs:p)st,bhosni r *hj29on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/hd(f /1raz,x ai. ycz5m in still water. How much time will it take you to move 12 km downstream, in a river fl,5y dzc/xmf zar(.a1i owing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis,m5 tfqj0e,;abon+xm0 sq 7wm (u;ctj. The y component of A ;mtb cjm q75wa(xq f00,; me +su,otjnis

  If a ball is thrown with a velocity of 25 be6dq vnzz99du80j81c,78 jirack e l 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 e680uowpt5 hfs ast and you end up 2.0 km north and several kilometers east. 6utp0whf s 58oHow many degrees north of east have you walked?

  A butterfly moves withf2 1ck9cetq1c a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the directio 2tkccfe19 1cqn of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long)r pd4 i*vy,nk shadow over a level ground. At what angle is tpy*dkrv,4 )in he Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3ow28qfqz a)t,jf- : dv), respectively. What are the components of the sum of these two vector) aw qjqd,2o8:t-vz ffs?

  Two vectors A and B have components (0, 1) and ,qfqysz)v,h : (-1, 3), respectively. What is magnitude of the sum of the, qfq:s)z h,vyse two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magni sh5tn) pmyc*,2n9nn rtude of pc25)yn ht 9,*nsrn mnC ?

  A car travels 20 km West, then 20 5 nm(f8/yq3xyz yyqs-0vk9c w km South. What is the magnitude of its displacemesqy0 v38fzmk9xycwy-yn /( 5qnt?

  Three vectors, exprex-3jnia) zzeq dlcnv. -w* (v .un1ia+ssed in Cartesian 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 coordi1r2po)7 .s98yy8lcq lyq 9;g byvmjj pnates, 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 fj*minu*mn)28u7c.dpt ym; k.0, -8.0), what is the magnitude of vector *u)7k*p8ynmj nut ;i cm fd.m2C = A - B ?

  A runner runs halfway aroivw+ zi+.a79obwrh- eund a circular path of radius 10 m. What is the displacement of the jog i7r.zvhi ab+ woe-+w9ger?

  Two forces are acting on5,m,zs*fr nz* 8 gqsnq an object as shown in Fig. below. What is the magnitude of the resultant force?qsz8,nr,fs q* gn5zm *

  Two forces are acting on an object as shown in Fig. be 3tyg(:3eacu*jw 8 n;ojdhyn7low. What is the direction of the resultant forceo7u3jd y 8(:a*hcnw 3n;gjy te?

  Vector A is 4.6 cm long and points along the positiv;91m2 hoiiuv b5hbeb0e x axis. Vector B is 6.4 cm long and poib 2ev; 5o0bm uib9h1hints at $+45^{\circ}$ 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 79 cm long and points 9ii j(xheu:8a.lr9la*hcd tofu4u60 at $30^{\circ}$ above the positive x axis. Vector B is 16 cm long
and points along the negative x axis. Vector C is 41 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 spe*h6g sq,xqqwq4t wgq7: j78;yhh)t- vip mu8aed of 13 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 4.3 s. What is the height of them :7xqhw6h8a8g q4-q)g 7 ptj*tiquv,wqyhs; cliff?

  A girl throws a rock horizontally, with a ve3x(k aqs)yq 5xlocity of 13 m/s, from a bridge. It qy3s(ka 5x )qxfalls 13 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a poip , 7hozs nltw6qdo6(8nt 23 m above the ground, strikes the ground after traveling horizontally a distance ofoop6znq,7hwd68s(l t 13 m. With what speed was it thrown?

  A jumper in the long-jump goes5ak d*jr3 +ud a+mq5iy into the jump with a speed of 12 m/s at an angle i+dk+ay r qm*j5au 3d5of $20^{\circ}$ 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 8 m/s at an ang + ruod8dm5efj3)t t/ule of mo)f+/udett5jurd 83$27^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with anh(k t(ykj p4,t initial velocity of 57.5 m/s at an angle of $46.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 54.8 m/s at an atq /8x-l fq7r2unx-qyngle of $23.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fireddhm.7ct +i d3pc*ad b0 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 horizontally a5q jfo ikq1ro(if.m6 2t 18.6 $m/s$ from the roof of a building 58.0 $m$ 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 a./q3, ix (e(bc4zo twgd dir.sn initial speed of 62.3 m/s at an angle e s/ ,ox i3ztc.4(bwdd.q(girof $40.9^{\circ}$ 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 7-esn0o1wj jfx; mt,*bliu 7o/l( jkpa 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 yourk-o flj1su t; (*,0b xope7wjmi7nlj/ 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 wind ocfbxy/9we ) - ;z0/vmge, hwkdf 50.0 m/s to the West. The plane's speed d,) /fw kge;xbm w 9he/z-yc0vrelative to the ground is

  A plane is flying due South (,cr wcb87 z+sl$270^{\circ}$) 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 kaqih /d:d6) xxm/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 prl-toe, in1cll;rxp+9 v4xv a:nm k +-fojectile with speed 50.0 m/s in a forward 41 cnll;+,kx+ rpvfeoa:9m-itnvxl-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 9 cz sx(z n,t+qq,o- rgw1c-az8.0 m/s, is directed across a river with a current of 6.0 m/s.z-cgn(w-zo1q, ,cxt rz9+ a sq What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move13 sru3lmkn 00qw9ilt at 19 m/s in still water wishes to travel directly across a river 1.0 km wide in which the current flows at 5.5 m/s. How long will 19ur0slm3wkqin 3 t0l it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes j s27*da1m; q)r;lgn*p ylffa to travel7p nqyafs;; )afd*mjlg rl2*1 directly across a 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 directly across a r )(zf*-ekcvo-k*z chs iver 200 m wide reaches the opposite bank in 6 min 40 s. Sh*kze-(z-sk)h*c c vfo e is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wi m4:a,e8z w crmuin4.mde reaches the opposite bank in 6 min 40 s. She.i:zem rumnw4 4,cma8 is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.65 m/s, must aim upst1ntx8 c 1o r3j/laozxi* q 09f(+jwhdmream at an angle ofm1jd xnfo1o 9+a3 htzji/xq*r8 wc(0l $29.2^{\circ}$ (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)  $m/s$