Which one of the following is an example of a vector quvy2do6r4 9 a q*z1rxgbantity?

  Which of the following operatich5i 2 op)z2fb (cob/vons will not change a vector?

  Which of the following is an accurate sta 6,- zw1gixdn ags;,kztement?

  The resultant of two vectors is the smalv k+yt loj, b84e-3ix .bg+ffic(ton8 lest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, res2ij w,lyef -ef;zf,p (pectively. When thesyf-;z2, f eiwfj,l(ep e two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the followijrqwe1x4k , ii 1sto58ng is a possible answer for the magnitude of the resulti51ek8,xtq4i1 wsr joant?

  Three forces, each having a magnitude of 30 N, pull on an/pi/vz 6) 9spjh3h*racjfm1 t object in directions th// 1jf pmcpt9hjs * rv6)3zhiaat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown/rr-mts 0shfhqj3ixe l 9yz 2)6v4u t9, the unknown vector is

  Ignoring air resistance, the-v qg48mkoxb 5w1ovi* 8 tqvb8 horizontal component of a projectile's velocity

  A ball is thrown wit+ tj2krzd9+zxh 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, the horizontal componensl y6iayu6* z:t of a projectile's acceleration*ya6:6zlsuy i

  A soccer ball is kicked with a velocity of 25 m/s at an an*yi nyof +e46l p,sm7l.wuu-lgle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector moa:cft3.nr v6v /u: uof an object is directed anti-parallel to the velocity r.u nv/muf 3vo at:6c:vector,

  If the acceleration fn +t)z eyhq+.xj4w q yd-1sn6of an object is always directed perpendicular to its velocit ). sfqwnj ndhyy+1q+64e-xt zy,

  At what angle should a water-gun be aimed in order for the bqbtf7/p )pj8 water to land with the grqp 8/tbp b)j7featest horizontal range?

  An Olympic athlete throws a jn:.ut;:ligwh 2-ep* yfb6v sjavelin at four different angles above the horizontal, p;ygu6e:ifsv b 2-.*w: tjhl neach 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. Ifa.v 9q,v5 p0hpb xi)o db1*k 7mzsuvc. the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range 7p m0 )qvvhpbo sik1dca..59vx *b,uzR (compared to your first serve) would be

  A ball is thrown at an original speedxn mf*o njbisf8+vf( vj45b;5 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 attempt reaches its maximum height, hoym 7a+xfh- usrnml ;jc29pu,2k+wok5 (dx1wdw does its speed compare to i9x k(wm-c p l2,y 1w+72djuon;ka dus+xrm hf5ts initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant ai:8j+6fsj ypei +rjk) ball is dropped vertically. Which skjp+ j)6:yrf ii8ej+object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a h+w6sw ky0d2eufjxzy:z , euo27/ 7-p tn-hyz second bullet is dropped from the same height. Ignore air resistance. Codfezxzt 6/2u0 e:+w7p ,hzys 2 -ow-k7hy ujnympare the times of fall of the two bullets.

  A plane flying horizontally) zshn9v)9g3 cm wv*ft at a speed of 71.5 m/s and at an elevation of 233 m drops a package. 3.4 seconds later it drops a second package. How far apart will the two pa* 9st3vh)nwgc9 zmvf) ckages land on the ground?

  A package of supplies is dropped from a plane, and one second later a n od).v0 -xkq w(f;yx.vkey-z h(y1g fsecond package is dropped. Neglecting air resistance, the distance between the falling .;-f yxg k f.xez0d 1yoqv -v((hwy)nkpackages will

  A pilot drops a bomb from a plane flying horizontally at a constant sp xj2j4pdb4f47 our9pr6xk -wb eed. Neglecting air resistance, when the bomb hits the ground the horb62 xdp4j49 7 -wukrbr xp4fjoizontal location of the plane will

  The acceleration of gravity on the Moon is only one-xw19to3t )gsudlzv o+;z9 kn7i5 qq3isixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the ballgs9lon7t9t+)i 1dw qo5q kiz ; xz3u3v would land

  You are traveling at 55 mi/h in the +x axis r9gw -ws.9rjtic 4vtd.elative to a straight, level road and pass a car traveling at 45 mi/h. The wjivwgtt -d .9 4c.9rsrelative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strongzicu h4lg2ob 7 4ch0 (u-cpw(c current. You stac7co2zicl cuw44u(0b -ph (hg rt out in your motorboat on 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/h in still water. Hsq.3z dnk4bdw1c0 0 8k/jdtajow much time will it take you to move 12 km downstream, in a river flowinab0d/ .4dt n31 j0jdcwkqs8zkg at 6.0 km/h?

  Vector A has magnitude 8.0 m at an an pcort -lktd2*5i:okp zg01zq,f+ e+l gle of 30 degrees below the +x axis. The y co q-+llopki*tg+, e5of2r:tz z pc1dk0 mponent of A is

  If a ball is thrown with a velocity of 25/)zmiv 0 fsmm4 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 lin9g( xuh2ni9n6d2yblf e in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east haveigbxy69l9 nu22(f hnd you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its c3j;k n0:ddmc 4didxfv) 5y) og+u9qr velocity is 8.00 m/s. The n k+m;gq d9 c)jfi u35)o:ddydrcv0 x4angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts arz o trar*p.;s9hsb 47 600-m long shadow over a level ground. At what angle is the Sun elevated ;sb*rp7sro4. 9rhza t above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), r xeersc-(wz40vi5u r5 espectively. What are the components of the sum of these two vec( 05urcr xezs w5i-e4vtors?

  Two vectors A and B have components (0, 1) and (-1, 3), trd16b0 nvx i5qh;d0f8o7u jx respectively. What is magnitude of the sum of these twhno0qj5bud0r8 xvf1i 6dx7 ;to vectors?

  Vector A = (1, 3). Vector B = :ora.dq.nb r3v8jmzs3 s ,( fl(3, 0). Vector C = A + B . What is the magnitude of C ?3om,dlj n sv.s :.qrr( b83zfa

  A car travels 20 km West, g tp4d+o+xcfp33.h suzv10 axthen 20 km South. What is the magnitude of its displacsc0axfo++ 33gp pzhtdv4.u1 xement?

  Three vectors, expressed in Carte tnp*7 2( ezmtjt,ii;ysian 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 Cartzp50g .j+ equmvrny)7esian 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)wip24gs)gd;u7 9 c0vnpl +cjd and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - Bw;p 94)np2cd70lsc gj g+vudi ?

  A runner runs halfway around a circular path of radv :4et;q5im p +aek; yetv0,xcius 10 m. What is the displacement of4im:te05 qcy v,;+ tkv pea;ex the jogger?

  Two forces are acting on an object as shown inb(r34lx- oah n Fig. below. What is the magnitude of the resultantla 3nx4or-bh ( force?

  Two forces are acting on an objeclnyc.g5 nn );+)q7eorglur 2z t as shown in Fig. below. What is the direction oo; cnnr2eqll5gzgy+r) 7 u.n)f the resultant force?

  Vector A is 5.7 cm long and points along the positiv l ;f8 +v*9jj,qp uxi98 o3hfhxjqgqd4e x axis. Vector B is 8.9 cm long and points at 4;o i3 hlgd*9+ v9 q,jufhjqjx88fxpq$+52^{\circ}$ 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 85 cm long and pointj7drf zoqr4.-lvd*:ba9s3 8 ptd -co 6xcvp/ ws at $30^{\circ}$ above the positive x axis. Vector B is 16 cm long
and points along the negative x axis. Vector C is 35 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 initiakyo+ 2x :rfu9i:h;1ueo3kb nsl speed of 21 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 o:oi+19 xfuhuny: 2krbe k 3s;bottom to be 4.2 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 16 m/s, from a bridge.ubux3i0;2c h:uyuqf8 *dn cy2 It falls 19 m to the water below. How far does the rock travel horizontally beuc0n xyfu2:c* q 2y;hu8i3budfore striking the water?

  A ball thrown horizontally from a point 20 m above the groi*btgu1zu7 a0und, strikes the ground after traveling horizontally a distance of 16 m. With wh uu*i b0tgz71aat speed was it thrown?

  A jumper in the long-jump goes into the jump with atqx7 x:kfje1: speed of 12 m/s at an angle qke:j1 x7 fxt:of $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump gon kfe8rubpzy;bc 8b*z8+6 o;wes into the jump with a speed of 9 m/s at an angle onk+p8r o6byw z8c b;8 ;zf*ubef $29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initw9uf kspx2bf;)6i ; y3vs qoz;ial velocity of 31.4 m/s at an angle of $22.1^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocqdg; (0 whbkz7ity of 30.4 m/s at an angle of $36.3^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fireduqozksh 8a6d/*38aj m 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 at 26.14nz tz68ldx3x $m/s$ from the roof of a building 37.9 $m$ 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 ;ohmq:sp +8gkspeed of 67.2 m/s at an angle q:8+ ;khgop msof $43.2^{\circ}$ 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 canhad15bari * 3a run a 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 your speed by 2.0 m/s, the time it would take you to finish w5h*31r iaaabdould be

  A plane has an air speed of 200 m/s due North, a70+e j oo2 n(.0uvae )vszpzftnd is in a wind of 50.0 m/s to the West. The planet on +evz0 (f.7 0uapejzv)s2o's speed relative to the ground is

  A plane is flying due South ,lw s60jm y;uqugir +oj32jn4($270^{\circ}$) 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 hea ck1;w v *y( ggcen1m1xzk3i8qded $30.0^{\circ}$ 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 ;s3 f:8a5j, mdar giow50.0 m/s in a forward direction5;3fo,ag8wi:r d amsj $30.0^{\circ}$ 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, i0 ox(maxaacq h;e;*-ss directed across a river with a current of 6.0 m/s. What is (sc;h mo*-;xaxaq ae0 the speed of the boat as it crosses the river?

  The driver of a motorboat that can movjgd5ou j2 ohv90/6pg+- x rmi-,e lquae at 14 m/s in still water wishes to travel directly across a river 0.8 km wide in which the current flows at 6.3 m/s. Hoapou9- +j e2- j m6qlirg5hd,vog/0ux w long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to tzusdwh(z ow +**66ei aravel directly across a narrow strait in which t 6wz*+d(6ahsi *wuz oehe current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly;v:5sn* me f3 ie1dgqx across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Hov5;xedq3i*s : n emfg1w fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the oppos* e;p3dgmq -qf-mf/ii, qr-s site bank in 6 min 40 s. She is swesq-,i- ef sdm3 mp;-qr/gq i*fpt downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 0.82 m/s, must aim upstream atnkx pudj.cmo2 0.s6n : an angle of. 2c. o:snpudxmnj60k $19.8^{\circ}$ (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)  $m/s$