Which one of the following isoy7(ffw h 1f-xnfk5 .ke.ahk:j/1gk c an example of a vector quantity?

  Which of the following operations will not c*mgb(n ylwnw*2 9)m.t4 nnfzqhange a vector?

  Which of the following is an accurate statemuiq+es b 5/s0iqfkog20x6n 0dent?

  The resultant of two vectors is the smallest when the4v,oeri e93i :thf7 b;v mxpu4 angle between them is

  Two displacement vectors have magngytaghv7 1 oxr (5v4-sop3j n7 hpy63r:(rwiritudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, tgx:1shrn w( 6jryh4po7vrg (7otp3-i 5 y3vrahe magnitude of the sum

  Two vectors, of magnitudes l31gr1jzj 8rx20 and 50, are added. Which one of the following is a possible answer for the magnitude o rgjx1lj18 rz3f the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in d)tqf 6yms d-)o c/3eprirections that ar-y)qd) 6m ft/ercos3p e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, t5d vdd2nocbj1w 62lf(he unknown vector is

  Ignoring air resistance, the horizontal component of a projectile8es-//jmxtc e's velocity

  A ball is thrown with a vel fu /ivv/a5aq6ocity 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 erre n w 2 6rt1;z1(do;dx/zzccomponent of a projectile's accelerationwn6r2t z;;1er odde( xcr/z1 z

  A soccer ball is kicked with a velocity of 25 m/s a,pu ,;zzz sar0b.bvd 1t 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 directed anti-paralle3wfqka 8xakeo62eh 0 jp)7 zrwky:p 7-l to the velocity ve):w 83 rpep0 hak76x7w 2j- eqykozfakctor,

  If the acceleration u0klre+ r3-:vqxy1c;3mc dvdof an object is always directed perpendicular to its velocity,-r:vu0v1el;r3dc ykxc +dq 3m

  At what angle should a water-gung tnp +(7fsx+c be aimed in order for the water to land with the gn+xf+ pt(7 cgsreatest horizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizse5sa3p+1 c miontal, ss im1+cpea35each 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 leaves your hank l8,gko/ps0 dd with twice the velocity it had on your first throw, its horizontal range R (compared to yourk/pd 0s8k,g ol first serve) would be

  A ball is thrown at an original speed of 8.0 k zrk:;4kvhjd1- jz3wm/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 m(- ilrk0yem3daximum height, how does its speed compare to its l ed(k3rym0i-initial speed?

  A stone is thrown horizonj h wy:44bk;zqtally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling ;jqzywb44h : kfaster when it hits the level ground below?

  A bullet is fired hor-m5utfhpr.gg 6jd+8 eizontally, and at the same instant a second bullet is droppe-8p6j m+.ghe fu5r tdgd from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 106.8 m/s and at- m2g9lp*a vyr an elevation of 128 m drops a package. 3.2 seconds later it drops a second pac*2r l- yvga9mpkage. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one13hl lcf 0io0za 8wj,avqn4d + second later a second package is dropped. Neglecting air resistance qnfh4d3o1l 0avil z0j+8wa,c, the distance between the falling packages will

  A pilot drops a bomb from a plane flys 7 zuky)j68ud3iis cqf )u :s(vir)z,ing horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane wiuisv8 i7r y )6uss u:z)c)3q zj(kdif,ll

  The acceleration of gravity on the Moon is only one-sixth of thatoaz+k lqb d54oc5h mt7j,w 9(c on Earth. If you hit a c75ak4t9w+b hcmd5j o q,l(zobaseball 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 rqz,)em -+hmndelative to a straight, level road and pass a car traveling a,nmm d -+q)zhet 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong currey,vwr qxf qp 6t y(6qe()ovdax/,2-went. You xw-, qr)tf e6y(6oqq(/vwevdax2 p y,start 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. How mu0yu yfjuuk2 o3n7: rs-ch time will it take you to move 12 km downstream, in a river flowing at 6.u27u nus:3r y0y ofj-k0 km/h?

  Vector A has magnitude meay yop /l3r wyxx6 42mh(0op7)3eiz 8.0 m at an angle of 30 degrees below the +x axis. The y component of 0l x/z)ymypm(o37exi2 orhpa4y e 3w 6A is

  If a ball is thrown with a velocity of 25 m/s at an ang z h/5iqbj63mrle 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 andvd+n-*s1uwo r;c xey/ you end up 2.0 km north and several kilometers east. How many degrees nort u/ ;envc1ox ydw+sr*-h of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velo-em rt--)tbugcity is 8.-tb gu) t--rem00 m/s. The angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a 3d8kods6a68ibenei/e g 0p/ flevel ground. At what angle is the Sun elevated above the horizon?6//p eo8 kfiid3gbdn0 6a8see

  Two vectors A and ol/f5 gt4,vl ;zuj,rjB have components (0, 1) and (-1, 3), respectively. What are the components of the sum of th gt/4o5jv fj,l,zlru ;ese two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respecti40 n,h7 viqi53cgl.lc l2nwvively. What is magnitude of the sum of40lci3v,llnqh7n wv5gi c .i2 these two vectors?

  Vector A = (1, 3). Vector B = (3, 0)79lt wx d5b(cw. Vector C = A + B . What is the magnitude of lxd tc59bww( 7C ?

  A car travels 20 km West, then 20 km South. spdi/df 2lu9a (ow *7hWhat is the magnitude of its displac /*hai9sdo pw2(ful d7ement?

  Three vectors, expressed dhfy6r;h(anz;*4l6vmj ;lp qfyo2 w /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 .kk 5m ompe;j,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 vectoiw18(jf pwvo)) hl7cibsr/9 l p2l 4inr B = (+3.0, -8.0), what is the magnitude of vector2p8li4lv fbnw7lw i()s1 hc)9/j ipr o C = A - B ?

  A runner runs halfway around a c8q6rev eur,h (ike. lva --ns,ircular path of radius 10 m. What is the displacement of the jogger?r(6 seae ke.hv-nqu -v,r,i8 l

  Two forces are acting on an object asufa1 8u69ime 3d..6g .atrpqlcw 2psi shown in Fig. below. What is the magnitude of the resul9mtup e6.i3 u dr.6 l81c.2f aigaswpqtant force?

  Two forces are acting on an object as shown in Fig. below. What sg 997x :ubrssis the direction of the resultantgs9u rs:b9xs 7 force?

  Vector A is 3.2 cm long and points along the posmoiq 1im5,tbm*r* gzd o68 c;witive x axis. Vector B is 9.1 cm long and point cotgd1mi im* r,w8; ob6*5qzms at $+53^{\circ}$ 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 poip3 ep mc(:c:c ++gfizknts at $30^{\circ}$ above the positive x axis. Vector B is 23 cm long
and points along the negative x axis. Vector C is 47 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 hor9/v h o77ifxzwizontally with an initial speed of 20 m/s from the edge of a cliff. A stop watch measures the stone'x7z whv7io /9fs trajectory time from the top of the cliff to the bottom to be 2.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 6 m/s, from gxj*5,g4el xrqzwivfm*k k(0 (u +2qba bridge. It falls 10 m to the water below. How far does the rock travel hore(x**vm krigu+k,x(5 z qjgb04 w2lfqizontally before striking the water?

  A ball thrown horizontalm.p9 nk6jv k8 2 rhz3yfs6*nq qbc.z)fly from a point 18 m above the ground, strikes the ground after traveling horizontally a distance okz.q9 .fh2 bvj8ry s3zcm6*pn6 fknq) f 13 m. With what speed was it thrown?

  A jumper in the long-jumpeqt*2km3b+g+l.nq1ais. edu goes into the jump with a speed of 12 m/s at an angle om a+ e.q d1k+ti*s.g3u2qlebnf $20^{\circ}$ 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 pya)ps 28wn5d 11 m/s at an angle )swn2p58y padof $38^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an l-vosprx)m c07 , )jyj14cbwvinitial velocity of 26.2 m/s at an angle of $33.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched wita7g6k qy nepb*-2nzk :h an initial velocity of 23.8 m/s at an angle of $11.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at fbvgdvk.9t 4aa2 y/m6an 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 i dw ubh jhcn+5t3f5)020.1 $m/s$ from the roof of a building 33.8 $m$ 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 firevqv o2t1s p39s tikjvj6)2j r0d from ground level with an initial speed of 56.2 m/s at an psjr910263vjt jovi s k 2)qvtangle of $40.8^{\circ}$ 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 x 5hvpl-yhpy(s3yph 4tg,h8,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 y pp5y(l -3 ghh4xhp8hy vy,ts,ou to finish would be

  A plane has an air speedevurx k;ivc0*h * :yz/ of 200 m/s due North, and is in a wind of 50.0 m/s to thv ue/ rz:y0*h*;xk vice West. The plane's speed relative to the ground is

  A plane is flying due Southabn io48 yos** )*mizejjsc.a,z 3/kg ($270^{\circ}$) 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 spe5la y- oygwd4fs - -w(z+b*jgred 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 projecti)s64,ht7hf(adk ofrd7gw dm 6 3t*1iz jov-jvle with speed 50.0 m/f3w),tz7h-isdvod v hj 6trd4*6go17 ka (jfms in a 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 river witqrhkmc4-:2t /f z f.jth a current of 6.0 m/s. What is the speed of th2:j zq.4/ffcktrm - hte boat as it crosses the river?

  The driver of a motorboat that can move atgy2qwg lc )tqt2r /l7t rc5gy822k-th 9 m/s in still water wishes to travel directly across a river 0.9 km wide in which the current flows at 4.7 m/s. How long will it take to5 y2hctltqrqg/r-k 7g g8 2wt2)tc ly2 cross the river?

  The driver of a motorboat that can move at 1jj2f /rxs m,vg3v2;vk0 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 skr;vfmvx j23jv2,/ g m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches7fd2 *m+2yeux4u hkv 12ispm vcn6ns9 the opposite bank in 6 min 40 s. She is swept downstreysn4m phs+67 n9imvuu x* vf 2de212kcam 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m w,ts t21m iwv;ah hvs69ide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Whm19s awvihthv6 s;t 2,at is the speed of the current?

  A boat, whose speed in still wa(j+tuk-eup 8p x/9y*a zh e,zwter is 1.57 m/s, must aim upstream at an angle ofak+z,/(je9 8xtp y*pe h wu-zu $18.2^{\circ}$ (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)  $m/s$