Which one of the following is an example of a vel3*iss.-w/o,yy qp ubf9 jo4kctor quantity?

  Which of the following op5ebicpv0g6v)ylu ldpf + o *.6erations will not change a vector?

  Which of the following is an accurate 4bq*y)qv1 bbojr joe+ :x3w .ustatement?

  The resultant of two vectors is the smallest when the angle between them 7 -s8cpmpbmm7 is

  Two displacement vectors ha(dl g337izpfq ve magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are aig3 ld7 pq3z(fdded, the magnitude of the sum

  Two vectors, of magnit.2v r(7ndz)vpbgl; zmudes 20 and 50, are added. Which one of the following is a possible answer for the magnitudvznr2;zl)b(pmv 7dg .e of the resultant?

  Three forces, each having a magnitude of 30 N( iet/nznzwa kp,l8-: , pull on an object in directions that arekn pn ae8/ iltz-z,(:w $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown v0g we)) e-v bdb)i:cqhector is

  Ignoring air resistance, the horizontal cot vrsliy .2d1pbyy1 //mponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an an )w;4,bzjm epy4hqf6u gle 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 hzpi5h 4 bld t+oehl:f3cud376 orizontal component of a projectile's acceleration:di63 e hh4f zpbdo l7+uclt53

  A soccer ball is kicked with a velociq w 1;jj.i0jk; r.yhrvty 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 ov h0mg(a2l5 fwf an object is directed anti-parallel to the velocity vector,af0ml5 w (2gvh

  If the acceleration of an object is always dir4if gbqr-;fu. ected perpendicular to its velocity,r.qfbf i4 -;gu

  At what angle should a water-gun be aimed in order for the wavsd9sh ,t6rd, ter to land with the greatdrs,hd6v,9 st est horizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizont ey udw/ 9+18h+w wvozhd+nlu2al, each wi1o +dz++8 wnyhw/vh9lu 2eudwth 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 secondp1.nq5 cfqq/5i- tc gp time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your 5 qgpq/tc 1icp.q f5n-first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angleiqo k7x8 :m8u65nd(wnlat r2n 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 attempz7/oiegyz 86 bt reaches its maximum height, how does its speed comp oyzgi7b86z/e are to its initial speed?

  A stone is thrown hor+2p onq93yn :ykamqm5eb lj137ad/bpizontally from the top of a tower at the same instant a ball is dropped vertically. Which object is5 ayyen q13mpj27/ 9na3 lpb:ombdk+q traveling faster when it hits the level ground below?

  A bullet is fired horizont2,kq0n wz x-x* onay-oz3k*mdally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the *2kz w oxmd*zx3nkyo 0q,an --times of fall of the two bullets.

  A plane flying horizontally at a speed of 113.9 n7ky,olifzk0z08 7y7eol. 5ybbdv6t m/s and at an elevation of 260 m drops a pvy0k.87lbfe,6n7d0oi5 y7y bozk lt zackage. 6.6 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 a plane, and one seconqj at/ou :o 59o.o*xakd later a second package is dropped. Negleouao*:/ 5a qto.x9 ojkcting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flx3/ ,97zujv q/r7c bsm jel,eige;-niying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground th77qlmi-x szgu,b c,v/e 3/ej n9 eirj;e horizontal location of the plane will

  The acceleration of gravity on the Mo+, v- rc2suxzozzc6 i9on is only one-sixth of that on Earth. If you hit a baseball on the Mo+zi6rcuvc9 zz,x o2- son 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 relative to a straight,9n8leag5 0jo j level road an9lgj ea 058ojnd pass a car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to crogv+s )jzqz* sdq),w(droil9 )ss a river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to rez9z s(j)g +,vqqlw*odi )sr)dach 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. How much time will it takvr 1,80 fuikfje you to move 12 km downstream, in a river flowing at ufv j0firk8,16.0 km/h?

  Vector A has magnitude 8.0 m at an)6t +6/l jcydkjs) bwg angle of 30 degrees below the +x axis. The y component jbd)ljskw 6 /tg c)y+6of A is

  If a ball is thrown with a velocity of 25 m/s at anjgb;w9ct (zm 4 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 east m)zd vm 23ryt7and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walm d2zt 73)rmyvked?

  A butterfly moves with ap:03wnny5:y ktxvn x6u5t( ov speed of 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 mustk5tw:n: n 6yxvu05 opv n3xyt( be

  A 400-m tall tower casts a 600-m long shadow over a le )kz 9akodq)t;5 vk/qhkh0xh 3vel ground. At what angle is the Sun kt hvx h9kqk5qakz3oh0d));/ elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What0dlxvq* (:,iht 4cmebyb9-id are the components of the sum of these twb0 c(-m9bqi,hl4 *x ddvyti:eo vectors?

  Two vectors A and B have components (0, 1) a3;t7x q, 7ohmajgstq4 nd (-1, 3), respectively. What is magnitude of the sum of thaxjtt7 4ho7 3sm; gqq,ese two vectors?

  Vector A = (1, 3). Vector B = (3, 0).m -k3q: jewh(i Vector C = A + B . What is the magnitude ojeiqk -3h(w:m f C ?

  A car travels 20 km West5p16 swaeo/c je7t uy), then 20 km South. What is the magnitude of its displacemy ec5wpu1sta )je/7 o6ent?

  Three vectors, expressed in Cartesian covdv4coiv*3sp9 d8wc e)wq,fl;6r7nl e vj 3i6ordinates, 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 Cartesia j(, vt+oq 0;gogtvsb;n 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 ve0 ctrh55/zy p s;yll;f1 htz1y+v1ljbvfu *b9ctor B = (+3.0, -8.0), what is the magnitude of ; fvp*v r5ltzyyzchs9uh1 0jb 51t1lb/ f;+lyvector C = A - B ?

  A runner runs halfway ar 4w 3bmy5:hmuqcw hk03ound a circular path of radius 10 m. What is the displacement of the: bhq0k3wcmum w5yh43 jogger?

  Two forces are acting on an object as shown in Fid*iuce,g7 f+ fg. below. What is the magnitude of the resultant ed7,+gifc*fu force?

  Two forces are acting on an object as shown in Fig. below. What is f.iiiud7:8qy6 p4qkztjoma/949 v ir the direction of the resultant force?qkiqauz f mir7yoip 9d968vj4i.:/ t4

  Vector A is 5.2 cm lr9 4 xcb+/epnmong and points along the positive x axis. Vector B is 8.0 cer pcb94/m+ xnm long and points at $+41^{\circ}$ 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 poinkvt;mla0ywq0mo k ;.)ts at $30^{\circ}$ above the positive x axis. Vector B is 19 cm long
and points along the negative x axis. Vector C is 39 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 ajq7re4 qi+;8hdpsu4; 2 qesjuiw u4 *kn initial speed of 23 m/s from the edge of a cliff. A stop watch measures the sto;pqs s;uuhq24ujdj4i7 4*kee8rqw +ine's trajectory time from the top of the cliff to the bottom to be 3.6 s. What is the height of the cliff?

  A girl throws a rock horysra a.d36w2wa1q/j uizontally, with a velocity of 10 m/s, from a bridge. It falls 23 m to the water below. How far does the rock travel horizontally before striking thed/wrsa 6au a2ywq 3.j1 water?

  A ball thrown horizontally from a point 21 m above the ground, st: n pvi8:s- vs1rg76 wkz1gcwerikes the ground after traveling horizontally a izer:1ws78: p vkwgg1cn6-vs distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/ ( kp9tgoxkw arhf: 0wk8;;jb6s at an angle of;wk bj:fr ktwga9x(p ok;68 0h $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jumk21cu-7sj byh p goes into the jump with a speed of 8 m/s at an angle ou72shkb 1yjc-f $35^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial ve q9z1.7vcgvn plocity of 40.5 m/s at an angle of $17.5^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 49.7 m/s aoxj: hlzo3o5 bt+; zd6t an angle of $37.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an anglr*w1o* o,a p s zpzv2,ktwf)s.l7k4a ae 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 ad qwl1hjc 0l6(xlxzx 6a9:bz:t 25.4 $m/s$ from the roof of a building 57.8 $m$ 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 51.0 m/s at bqb*k+5 j,e2pkaww1g(lip,5:k rdh gan ang*k ba5qrkgdg:52l w,i1e+ (wpb h ,pkjle of $37.1^{\circ}$ 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), you can run a 1500-m race at a velocity of5 waanq +q8c/kohu; g3 4.0 m/s. If you ran t q ;a /3+wok8acn5ugqhhe 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 would be

  A plane has an air speed of 200 m/s due North4t s0u;zl2j jz, and is in a wind of 50.0 m/s to the West. The plane's j4lu20s zz t;jspeed relative to the ground is

  A plane is flying due *gp r- w6baq+wSouth ($270^{\circ}$) 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 /xv/vswl/uv0z t d; k/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 plo4ax(c zg5k/8xlb x5rojectile with speed 50.0 m/s in a forward da8g(c5 l xx4l5 o/zkbxirection $30.0^{\circ}$ 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 acrosso.+ n dfekt5)iw2* p8q fgwez( a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the (e+8 t .2oiz5fed*kf)wqwg np river?

  The driver of a motorboat that can move at 14 m/s in s-wjxn4 58f x z39nznfhd)j5hstill water wishes to travel directly across a river 0.9 km wide in which the current flows at 3.3 m/s. Hd) 4nwx9jf 3x8zh n5zj-sfn5how long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wise0u3qdh5 eb) hbn/wseh* 4v b/hes to travel directly across a narrow strait in which the current0b)5 e/4b3shb nwd ee hqh*/vu flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 20p 2zx.y oqb*pvl:ma sz: kv8z.8ir1e5z),tnr 0 m wide reaches the opposite bank in 6 min 40 s. 5pv. nlzbry82tzv.qreoi ,m1a*8zx: :sp kz)She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the o ruz.x5ppvd-9pposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed ofpzrx5v p.du-9 the current?

  A boat, whose speed in stili.ip3lrso oy0+au0 2k l water is 2.12 m/s, must aim upstream at an angle ofsr oai.o23u li0py k+0 $23.9^{\circ}$ (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)  $m/s$