Which one of the following is an example of a sx(2 h hc52nej0dv:ex vector quantity?

  Which of the following operations w: w0 yknw/o(hvill not change a vector?

  Which of the following is an accurate sta w:xdpr 2)4x o4lbrpr7 2,xjnhtement?

  The resultant of two vectors is the smallest when the angj*khn0f6)a j77x oks;n7 mz3 daigr(wle between them is

  Two displacement vectors have magnl f exq0,z43 v,:melsqitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the s3zx v4, fqe0,:mselq lum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the follog 0n- yx;s ,mdi*qrpm:wing is a possible answer for thq:r0d g-m, spx;*yinm e magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pulln le+6phx +kd4.t zd.u on an object in directions that a.edk.n lptdxu+ 64h+zre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, thes112(w6y qxt8im hiolmqznl/s +f:9k unknown vector is

  Ignoring air resistance, the horizontal co. n,i;5 q tuvalu -4ak.qczz,omponent of a projectile's velocity

  A ball is thrown with a velocityxgcl, o.+bq7ccx z92 q 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 com h,dj/b1 3(nfpvjbdu4ponent of a projectile's acceleration13 h4b/ vdubjpd jf(n,

  A soccer ball is kicked with a *(h+qp ocndc9btsx;i n03h:e velocity 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 of an obv*u; -z)jixthe+srj.ject is directed anti-parallel to the velocity v) zrjex. ij;h+ vsut-*ector,

  If the acceleration of an object is alwa8dl:l2i1ejc;mnw 3 kzys directed perpendicular to its velocit:jkne ;mlcw l128 iz3dy,

  At what angle should a water-gun be aimed in order for thuby13 ,8zoa njdef o41e water to land with th f 8ba3, 1ooydu1en4jze greatest horizontal range?

  An Olympic athlete throws a javelin at four diffemsz5ppb- uj6pm66yv3rent angles above the horizontal, each with the same pmz6p5ms- jy 6upv 6b3speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for ther h av eo5),ghm tv7):txn*b3p second time. If the ball leaves your hand with twice the velocity it had on your firpg)vth,ve5 * a3o:tn )xrb7 mhst throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/7uk, am+rpea+2e m5js 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, how does:kzhh mpy 5g/0 its speed compare to its initial sh/mp gz: 0hyk5peed?

  A stone is thrown horizontally from the r:jmxa nc85mm49e(b jtop of a tower at the same instant a ball is dropped vertically. Which object is traveling 985baj m(m n4:em xcrjfaster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is droppugf)mg )2xxu1t+ ke (ked from the same hei(ugxmte1)f+2kg xuk)ght. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 115.)wk9+up(umz5t43brvnl 1 b/g+mdq mp6 m/s and at an elevation of 124 m drops a package. 7.2 seconds later it drops a second package. How far apart will the two packa4+ 3um /mzmdn(br qptg w+p95)klvb1uges land on the ground?

  A package of supplies is dropped from a plane, and onrwwvf:qn 4 3y xm,w(0/oa (cude second later a second package is dropped. Neglecting air resistance, the distance between touf w /cy,r34a( nxm0qw( :wvdhe falling packages will

  A pilot drops a bomb from a plane flying horizontally at a conr5: 5l ayod)qnstant speed. Neglecting air resistance, when the bomb hits the ground the 5qld) any5 :rohorizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on E:nj mno 7w7s(warth. If you hit a baseball on the Moon with t w7o7w:(nsjmnhe same effort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling atwwpx) - /5kmctwm) mn7 55 mi/h in the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car7w5 m x-n)cm)wkpmwt/ to the other car is

  You are trying to cross a river that flows due south with a stroy5-+ i)tzrmj ung current. You start out in your moto) zjti5+m-uy rrboat 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 much time will it mv1w9)pfu6yyw go00 2m dr1dttake you to move 12 km downstream, in a river fvfrg 0 yu92dyw1 1t6m0)owdmp lowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degree4yr 1j , b1zd+*er2+hs/bu qnwvbvv t;s below the +x axis. The y componen /w vb*b,4qy2znjesuvr++ ht;dvb1 1rt of A is

  If a ball is thrown with ajwocf5 oq+b 05 velocity of 25 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 east and you end yr8zv6fbi2v0 up 2.0 km north and several kilometers east. How many degrees north of east have you walky2vibr68zfv 0 ed?

  A butterfly moves with a speed of 12.0 i y(vhj2--erwqhw6/o h( vgw(m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion (yowv ( qh-e/6(rwj2 hhg vw-iand the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At whv b yf1(g+tg tx/66vz*aa8huz at angle is the Sun elevatevx bfuy(*1 +z avzg/6t6gh t8ad above the horizon?

  Two vectors A and B have componen)cjdune. 6yzl) y8xq-ts (0, 1) and (-1, 3), respectively. What are the components oqycj6d)l8. -e nx )zuyf the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectv- 0ffm nj7,bc/8hu q( rffn/vively. What is magnitbvv7,j/f unn cfm0h( f-rq /8fude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + nk8y3 a1x./v)r m vvgkB . What is the magnitude of C xv vka gm.rkv/)1n38y?

  A car travels 20 km West, then 20 km South. What is t to gdu(*9g4uyhe magnitude of its displacemeu 94 *dou(ggytnt?

  Three vectors, expressedf - +,.h*ec,ec.p4* my twk r3tm4 pgvx-xafna 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 coordi5;;:0rtcxy4h :cqzcj ee2qm/;ig qqnnates, 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 magn g 2nr .fz5i),ls,0dhw*m:1mvujyb a litude of vectoyiz )ga lfn,:2br,d1h* m5w um.s jv0lr C = A - B ?

  A runner runs halfway around a circular path of radi .okpyx g(u4kde *4o q7;3pseyus 10 m. What is the displacement of theq;de*s kkpg.( u37p xy 4e4oyo jogger?

  Two forces are acting on an object as shown in q9iy5vnet*v / Fig. below. What is the magnitude of y9/ it5v*vqnethe resultant force?

  Two forces are acting oit(p1adgwxp /b ;* y(mn an object as shown in Fig. below. What is the direction of the re*(/dati x1pmbg w;(pysultant force?

  Vector A is 4.3 cm long and points along the posi z8a;ib8d; :d.gmhfis tive x axis. Vector B is 8.1 cm long and points at 8;.zih d smfi;b8:g ad$+21^{\circ}$ 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 72 cm long and points ate.u 67ou1lk;x.ach o/ieao c + $30^{\circ}$ above the positive x axis. Vector B is 19 cm long
and points along the negative x axis. Vector C is 25 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 spe0 ndz ei57 +(;xcmxfuatki-/sed of 18 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 bose+/ f-(dku7tznx ;ixciam0 5ttom to be 2.2 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 14 m/s, frq ;a qt9ai7clv x3h2.xa3(t -ryw fi*mom a bridge. It falls 27 m to the water below. How far does the rock travel horizontally befory ifart-iq ; mxv2wa q9tlc3*x37( .hae striking the water?

  A ball thrown horizontally from a 1a gy hie02j:ipoint 27 m above the ground, strikes the ground after traveling horizon1jyaih : 0e2igtally a distance of 17 m. With what speed was it thrown?

  A jumper in the long-jump goq,zz nj*p yrf:/8y w)jes into the jump with a speed of 12 m/s at an angle ofr,j)qz:/f*n8yz j pyw $20^{\circ}$ 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 9 u 2eu2h3d os hv8kd8.xm/s at an angle ofkse .uhxd8 2ovdh28u 3 $36^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of )xuu1f8zvr/gp ;.0tmsu h h -i45.6 m/s at an angle of $41.4^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an i(* b - yl0-h vxu(xdnzdufs//kmw*m a)nitial velocity of 36.0 m/s at an angle of $35.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired atadmz; se *b;7d 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 (n b;tc/ps 5fvat 21.5 $m/s$ from the roof of a building 39.8 $m$ 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 ground0*fa tko: srgwt) ::nz level with an initial speed of 55.7 m/s at an ango*g ::fta:rks0 tw) znle 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 n-w7+7mhfino eq 8igrmdm6 21race 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 tgdo -e8h7rqm2 n6fii7 wm m+n1ime it would take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a win3 /j(dml7:a ujc c 873annopb1zbh.g zd of 50.0 m/s to the West. The plane's speed relative to 3zlnd8h jc 7 3j7(bmcpn:.a1g/uba o zthe ground is

  A plane is flying due South yo9;tr-ta3fe 5siv g8-fq/ y x($270^{\circ}$) 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 rti o-uqg84nr:hk)ba*:z or- 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 pro67p wbv- ame9v5xa p-.o2rg wajectile with speed 50.0 m/s in a forward diravvx owpr -9a5e p.g6a 72mw-bection $30.0^{\circ}$ 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 s(bx /q7nds9p across a river with a current of 6.0 m/s. What is the speed /7(b xsqdsp 9nof the boat as it crosses the river?

  The driver of a motorboat that can move atou w881(ti/* 6 f6mbrakygsw l 13 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 7.9 m/s. How long will it tagb/8 y86owaw1(f mks*i6rlut ke to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishe. a8p :/+farbqjhd wa*s to travel directly across a narrow strait h +w*/8 pqbdjfaa.ar:in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading din x2gb *8qu;jbrectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in stij b 2bn;uxq*g8ll water?

  A swimmer heading directly acrax2y z8hm+mh3yrha tur/+81 soss a river 200 m wide reaches the opposite bank inyh2mr+trxs8h 3h8 /m+uza ya1 6 min 40 s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 0.82 m/s, vch, :*,w - vk2efuxsur+vr.omust aim upstream at an angle of ,vs h-xk uvc rwv+:2rfe*o.u,$20.0^{\circ}$ (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)  $m/s$