Which one of the following is an /9,mlyemfk7i/y39e o *ly4l4fq oclbexample of a vector quantity?

  Which of the following operations will now 8s281roxtq j zfp)8ot change a vector?

  Which of the followinek-n.j ),o oqztmjr,2ky+sojs9 +k/ pg is an accurate statement?

  The resultant of two vectors is the smallj2e-1di* : bwil/xpi glzw- 7dest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m andxb6n-c6r nd -u 7.0 m, respectively. When these two vectors are added, the magnitude of the su--n6 bcdr6nxum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the following zu/6i 7ejiupr tc08/bis a poss0bi r ue/iz/ut 6cjp78ible answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in dijki oq8 :ocmdqj*9.;x pv(mcpzyr /8 +rections thd oyi/ .ckjx88p9r joz*m(;qc+ qv :pmat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the1blf gt,y6ab; unknown vector is

  Ignoring air resistance, the horizontal component of a projectile's veloc5np v,48 j5 rzp1(tdif9qcsxgity

  A ball is thrown with a velocity of 20 m/s a8 6,rzge 8khgvt 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 horizontal component of a p qf60 3ok ljv:wngls*7rojectile's acceleration *v 3olwf60kgq7jnl s:

  A soccer ball is kicked with a velocity of 25 m/s at an a6mvle abg5 02vcce-zl7ynyj+ 8w k*3dngle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vecto(srjv ,xp al;hmz e(9 pe -,4giec7fr6r of an object is directed anti-parallel to the velocity vectormpxle ah ecrvrg (-697 ipz(e;f,4js,,

  If the acceleration of an object is always directo3h h2(qbrxi 4ed perpendicular to its velocity2rbo 4xh 3hiq(,

  At what angle should a water-gun be aimed in order for the wa4zjiz:q887pubm( bad*t.agwp 67fjfter to land with the greatest horiz .6jdf8(z* bqj:4p fz8 iwp7amuabg7tontal range?

  An Olympic athlete throws a javelin at four different angles above the horizontaju/3)rl .gchrke7l4ct -ipt- l, each t 4clg-- rpu 7lihrktcj)3.e/with 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. If the ball lii9)+bq n- p;q26jb b6ebkk)piwlf*j eaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your firq6) 6i wjq-e2bbbl+npp;) fji 9kb*ikst serve) would be

  A ball is thrown at an original speed of iy4w(lhdqvim51m/ lk; xr wiv*3)ku9 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 renz i/yn6k/15chn mek;aches its maximum height, how does its speed kcnhm 6n z1enki5/y;/compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a bm)m.,lp hm 5 gnip(.p0d2b,sna8 hzrv all is dr.8m0hpnmplh,g ) .idrav(25 msp,nbzopped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same in 8tiwc 2q y3r3degc:*c1m a z7ar:t7e 2hgz.qdstant a second bullet is dropped y2iqccq 3r e82.3d7z h 1:dgtar c7m*tzeagw :from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally aqcn/pa2*t:45 g 36h cgtf. econqq,kht a speed of 107.2 m/s and at an elevation of 289 m drophtf6,og3 p ctqec:cn2q4n.q *g/kh5a s a package. 7.9 seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a7k+ iml+erp zd80ui(9pb p7lm plane, and one second later a second package is dropped. Neglecting app em8r9d+b pz(7kill im7u +0ir resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizone*m nysslia m).81yk9 bft:5)n qp7frtally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane willq nef 9mas)yl smp1 n.tri8k*:yf 75b)

  The acceleration of gravity on the Moon is only one-sixth of tha3wjlga5 xu+ t+;nt7xit on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on7 i53xtajl+gnwt+x u; Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level road awv5 nm,+mdvr k 36r:ktnd pass a car traveling at 45 m6v krv3:rm5+,wk ndmt i/h. The relative velocity of your car to the other car is

  You are trying to cross a river thatsarjmf ,x3ku(5pk 8su9:/m pq flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank dirumk sj k9 (x:3,fm u8pa/rsq5pectly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 kp8sy sz;; thu8m/h in still water. How much time will it take you to move 12 km downstream, in a river flowing8st; 8zpysh u; at 6.0 km/h?

  Vector A has magnitude 8.0 m at4 uhvy ;zbh/,v an angle of 30 degrees below the +x axis. The y component of A iv4hz/bu, y;hv s

  If a ball is thrown with a velocity of 25 m/s cl+/ szn7 +aaqat an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straio lgsc /)*)khdght line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walklgks)o) d h/c*ed?

  A butterfly moves with a speed of 12.0 m/s. The x component oh-9f 7c+a vmibf its velocity is 8.00 m/s. The angle between the direction of its motion and thbfc hm a+iv-79e x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground8,q8sf x(st dz1d(wswni5uqx0fa * g3. At what angle is the Sutsz*q0wna83sf xg 58i duswfq1x ,d((n elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), re;zi f3(;ehir uspectively. What are the componentihr;zue; (3fi s of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3);tf hd8n2ja(4ieil 7i, respectively. What is magnitude of ahd;ltje n7 iif8i(42 the sum of these two vectors?

  Vector A = (1, 3). Vector B 3o4gvy1kn i1g= (3, 0). Vector C = A + B . What is the magnitude of Cgk g3nvy41o i1 ?

  A car travels 20 km West, t:lghwpngcd6-)fc(dno:( ) lrhen 20 km South. What is the magnitude of its displa c nl( )h:c()wn-:ldrg6gpf docement?

  Three vectors, expres1xvp6bag (7 w+dq+k)rmz(lqssed 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 C q-knw3g/m6 hpitv3u*:mjsua5 b 4vr0artesian 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 magnitudeq7j q.gjv;+y1oj 66awfpksq5p gpic6znf+2 5 ofq5g +pwa.pq5 fg7f o 1 czskvj;+62ip6jqjyn 6 vector C = A - B ?

  A runner runs halfway around a+e/avdjf (fxl* ;n,qj circular path of radius 10 m. What is the displacement e ja(xj+l f ;f/v,ndq*of the jogger?

  Two forces are acting on an object as .xr df29sk/d*9gmlb qm4 v be5shown in Fig. below. What is the magnitude of tbdkgslvm 4qe95d/ 2rb*.9 xmfhe resultant force?

  Two forces are acting on an e+/d+xnqk6mzk -ht* kv ksniy*- 20 pyobject as shown in Fig. below. What is the direction of the re+nk6*kz pk hxn- 2t -*i/kms+qy0dvyesultant force?

  Vector A is 5.9 cm long and points along the positive x axis. Vector B is 5l s7m)xi/wltnjxz j)kp p*(r- 0ak51q .5 cm long and points at)1 /p x() k pt j7*-l0rzksmniwaxlj5q $+46^{\circ}$ 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 55 cm lonqgff:.bi ie yxyr 8;1.g and points at $30^{\circ}$ above the positive x axis. Vector B is 16 cm long
and points along the negative x axis. Vector C is 45 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 30 m/s fr)f0m1kv oy2m( ey1jpr n3 wt:pom the edge of a cliff. A stop watch measures the stone's trajectory timtoymvw:(jmnf)p y 1k1 er3p02e from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 17 m/s, from a ay;/ 1otv- i ;jjcnvnq5b 3q/sbridge. It falls 27 m tj1/tcqbyi 5;vs oj;nqn v3/-a o the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 25,d (0s e xyq5z9focpq 0/o5rsg m above the ground, strikes the ground after traveling horizontally a distance of 20 m. With what speed was io9(g eyopz5f5q ,qs0xcdr0s /t thrown?

  A jumper in the long-jump goes into th wt-(fvha (9g ge/p0-jawb2xg.g: koue jump with a speed of 12 m/s at an angle of .: aj 2f pa9vbh( ugx(wot-e g/-g0gkw$20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes6txf-l op i 6c8g.1ksa into the jump with a speed of 9 m/s at an angle of g6xa. t6il1s8ckop f-$30^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 52.7 m/s atjykty/gw,: m*cno e: 5 an angle of $42.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial ve.fe7 5jvfb f,z1 usiayo2o-1 wlocity of 58.3 m/s at an angle of $43.3^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an an3a)n.zavebb.m ,d-a8 dlz j, kb8jd4 pgle 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 horizontal0nzqr2af bj7426 z lmqbv0n j-ly at 17.8 $m/s$ from the roof of a building 43.6 $m$ 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 fis kud*iq+sifc0*q6*rom ground level with an initial speed of 42.4 m/s at an q f+s*s* iq 6ikcid0u*angle of $40.1^{\circ}$ 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), y xj8j1qk0 eqf- fz/t;wou can run a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a dayt/q;q1jwx8z e fj0 k-f 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 dubl9ajj*p9 jyr8j ui 86e North, and is in a wind of 50.0 m/s to the West. The plane's speed rel j*u 6pj9rbj898yji alative to the ground is

  A plane is flying due Southhz9/qmgm6c*zlp 8jbq7mm x6/r .ukq5 ($270^{\circ}$) 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 hea2 z+ h7vj 3shka9 gx89qaa(evpded $30.0^{\circ}$ 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)gtwmp9*eg, g.lrxnq 0ws8 ,c horizontally fires a projectile with speed 50.0 m/s in a sw0m,gpeg)c8,*wlt ngrxq 9. 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 m/s, is directed across a fy* bj i(9cn:sv-njf ebj+v+os- va86 river with a current of 6.0 m/s. What is the speed8*-j e-vv+9 fyc6+ :sbijno fsva (bnj of the boat as it crosses the river?

  The driver of a motorboat that can move at 8 m/s in still water wishes to tqtxujpt --50tmn. 6d zravel directly across a river 1.9 km wide in which the current tqu tz5- t.-0pnmdx j6flows at 6.2 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at xdc drwk q44/-10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle udrxwd - ck4q/4pstream should the driver head the boat?

  A swimmer heading directly across a rivecwixz:rp. nq4z4 9p8bl9bin(r 200 m wide reaches the opposite bank in 6 min 40 s. b p .zz84(9iinxb9:4pqclrn w She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly axqe*q - )i0h n /ff6g*xgm6j+wxc z1vxcross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of thvg*c6z x-0w q1qmffg)xixe+jhnx* 6/ e current?

  A boat, whose speed in still w -qmhcfe n,q +-gi8.lpater is 1.35 m/s, must aim upstream at an angle of fgpqc.e8 q, -m+ihnl- $23.2^{\circ}$ (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)  $m/s$