Which one of the following is an example of 6 u2yl2h5khr qa vector quantity?

  Which of the following operations will not h2k --tj4c*o bev+tdg change a vector?

  Which of the following is an accuraw+ndwjqo x * (6b1ntd:te statement?

  The resultant of two vectors is the 7 :+dr 9 nsjn)c/nn g6e:yvd:btpkz-rw :t wh*smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivegb1)p pjckn4c1q *.xgly. When these two vectors are added, the magnitude of the su g4j1 bpg knc*)p1cxq.m

  Two vectors, of magnitudes 20 and 50, are added. W:0 7q2x ,zxzphql7nb rhich one of the following is a possible answer for the magnxz2 7:l7 nz,phxr qq0bitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on anq)xa30v pq in5 object in directions th3 )xqq50 npviaat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, ek5e3p0a8ews the unknown vector is

  Ignoring air resistance, the horizontal compoc r ca9j9fd v8 1s3v;ovy*ms7gnent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an an 5s;b z-+eb8wa2ukrdh 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 horiq.5rufuk1r9 / 7(* yfsupnbl 0vnt:p bzontal component of a projectile's accelerationp ff v*tu7s5(kur/l 9bn:yr.0pu bq1n

  A soccer ball is kicked with a velocity of 25 m/s mhqd 05rrj j04at 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 objec w3sbzr wu4-w(eu z.q: g-mq8ct is directed anti-parallel to the velocity v-qc.wus(u3gbwqzz mw: 8- 4erector,

  If the acceleration of an object is always directed p0znowra / tq ed75k/6perpendicular to its velocitr5q/67 kwadn/e p ot0zy,

  At what angle should a water-gun be aimed in order for the water to land w/,yy xy35(fc7 /wsn ynre 4zotith the greateszsfe4rnw753yy (c /not/, xyyt horizontal range?

  An Olympic athlete thqj0qg wruk5 i7* fl+0hrows a javelin at four different angles above the horizontal, each with the same *rjqig0l+q 7 0fuwhk5speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the0 pgnra3zg3/ u second time. If the ball leaves your hand with twice /3zgaugrp 30nthe velocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an origde+ 1q ifq2//cdlx ei)20j 6*famiwafinal speed 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, how does ik15 y6/gllv wwa/gtt7g u3a1s ts spa5t gtg/1w sv/l13aklwu 7 yg6eed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at tjul8f (vww.anl2;r g d9:m6vnhe same instant a ball isrj6.9uanvdlm ;8lwnf(2w vg : dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the )bxk fmgk;7y :59 yb;:dcog. hl-k nvgsame instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bullets.lgm:k9nvfy 7 ;bc. ; -kb5oyxh:)kd gg

  A plane flying horizontalld j/j;zd wfw0)y at a speed of 70.5 m/s and at an elevation of 284 m drops a package. 2.9 seconds later it w jd)zf0j/dw ;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 second la3rloib9stym i+ han 9q4* pa2+ter a second package is dropped. Neglecting air resistance, the distance between the falling packagesi+mqy23*trh ao+p ns94bl a 9i will

  A pilot drops a bomb from a plane flying horizontally at a consta 82qlobt9+ osy: k(t idja5(npnt speed. Neglecting air resistance, when the bomb hits the ground the horizp:28+oldq( 95i o(tkb astjy nontal location of the plane will

  The acceleration of gravity on the Moon is only one-s .v :(wv vivr-7rf jk-kgnw86uixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the sp: 7-n v8 (vwwk.v-rujvki fg6reed 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,xguqh8pd u6ks kq gj8b0)(p 765ka 6:x:d lrcw level road and pass a car traveling at 45 mi/h. Tlckgu5p :bskrx :d0()x6q67g 8akd86 hqpwu j he relative velocity of your car to the other car is

  You are trying to crol:kah rj5 8-c 7tb fdstlfl8,3ss a river that flows due south with a strong current. You 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 l ,cft5h8at-f8 j lbdksl:r73 motorboat

  Your motorboat can move at 30 kmx4tjohz j6*coo6(wl7pe -h-efsef*7/h in still water. How much time will it take you to move 12 km downstream, in a river flowl76px7ef-cw-hf6o 4e**joh (o z es jting at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreehl(otzk7fmwspou6a.).mp *p g c /)z- s below the +x axis. The y coma(mfht opmu6)gp7.p)w* z/ -.s koczl ponent of A is

  If a ball is thrown with j*50drt3 )/)qucz y+ jj lajsij/hu1 oa 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 northiwqv sya,2c; c. fpmvwd6 b/:r4l;is( of east and you end up 2.0 km north and several kilowmci:lc s46qp; .v/ dbw;y 2vsfri(a, meters east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity isim( y(i6 pl2z 1u*aixw 8.zii62lpw u1m iy(xa*( 00 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 d3z4.ytw8z5gaxwaek pma2 6bi q ii +hn 6n+4.long shadow over a level ground. At what angle is the Sun elevated above the 3a45y2 pg kzwi6dt.8in hw+ izebnaxm a4+ q6.horizon?

  Two vectors A and B have coe72q*oo 2( 7dlnyibxy mponents (0, 1) and (-1, 3), respectively. What are the components* y2o id7y7lob2( qnxe of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respecti i1aamxhj8+apsolt ) ravc *mow-1c(n/,5r2u vely. What is magnitude of the sum,u 1rvcs(aca5 omtao n1-rl*2w8h )/j xi+ap m of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is ta ,w dau plylcr2rt9(8*0k1wqhe magnitudr8rl*1a0kpuw t(2ldqw 9,ay c e of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displfx9d vx9 kx,r +wt41qdac9w x rx+ kd14vfxdt9,qement?

  Three vectors, expressed in Cartesian coordinates, htfx8tnca.9, 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 Carlzmr )u3;mm8 q3 3wvfq9nw*sjtesian 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.- mz mha3xe;juk (9y9p0), what is the magnitude of vecto 3uxjmmaky ;hzp-9 9e(r C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. Wh0,,aoo )s8rhaq6 ye vvat is the displacement of the jog 60v8r ,oaavoes)yq ,hger?

  Two forces are acting on an object as go .yri+)f 5jm3/lh pmshown in Fig. below. What is the magnitude ofg phmoi. /flr53m+ j)y the resultant force?

  Two forces are acting on an oos8 + 3q2r qjojo 5von1sa:qy1bject as shown in Fig. below. What is the direction of the resultant qo2+oj oqj5v1srs qa:no13y 8force?

  Vector A is 3.8 cm long and points along the positive x axis. Vector B,sidis;mr64.q8b7u pagkt n mo-o,m 6 is 8.7 c,odi7mbso 6,8.gipa 6msq 4rnk t-m; um long and points at $+39^{\circ}$ 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 63 cm long and4vj sy +2to+ct points at $30^{\circ}$ above the positive x axis. Vector B is 26 cm long
and points along the negative x axis. Vector C is 26 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 18 m/s from the c1b)f+oaiijaj 5 3 -s bq7np:aedge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to bio)ci5na jqj-bpaa f: +7s1b3 e 4.7 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity u*jwn-q3in 0g guy0(rof 14 m/s, from a bridge. It falls 22 m to the water below. How far doy(w*n3 0 ui0ugnrj-qges the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 29 m above the ground9 9p-fd,rqqygv -/j lz, strikes the ground afte v-pydz/ l99q,rqgfj-r traveling horizontally a distance of 20 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spee-8u7)e*vfhfet jl 6d988nc dh vuce6xd of 12 m/s at an angle of 6nev ff el)jd8ed79 8t hccv-u6*xhu8$20^{\circ}$ 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 spm -)(j.s5mdiwcco5kga .7ij yeed of 13 m/s at an angle of(m i.c- y7wmc )s5okidjj .5ga $25^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an inwt pmcfvw(- 5 c/m*v(mitial velocity of 33.7 m/s at an angle of $24.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 24ibmbj9;(n p: ee oe3k5.9 m/s at an angle of $49.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle of/qn2 o lj8*ivm $30^{\circ}$ 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 hoz;lxlw-tbda ,a ;t ,v8rizontally at 26.4 $m/s$ from the roof of a building 52.6 $m$ 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 from ground levifs 5wxhcxi*hb1 1:u2 el with an initial speed of 66.6 m/s at an angle oixw 5h 11:2 sfbh*xciuf $46.0^{\circ}$ 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 r,/h 3fus suf/t0 (*t nyzojqa3ace at a velocity of 4.0 m/s. If ajz( n u/*sfhq0yot tu ,/3fs3you 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 would be

  A plane has an air speed of 200 m/s due North, and is in a wind oj5yk .pao2/8/ yvl2kjuk8dc g f 50.0 m/s to the West. The plane's speed relative tojlvu5.2 c2go yykd88 jpak/k/ the ground is

  A plane is flying due 09b1nvimsy9zjio0flyo 8r*n:cfa* ) a7gk3 t South ($270^{\circ}$) 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 iss-k ag2:lb.mtf yc50r 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 zik1l0 .okib yb7l 51hm/s horizontally fires a projectile with speed 50.0 m/s inhk7olzyb i5l.0 bi1k1 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 8.0fjnq.q06 x 2 syc8)lld9qber b (og58l m/s, is directed across a river with a current of 6.0 m/s. What is the speedfsy)xgl 2.r 8c90e6qoq5q n bld8jlb( of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wisherr l wbrhk )zj)*1tb:(s to travel directly across a river 1.1 km wide in which the current flo(j br)k :rb*1wh)trz lws at 6.4 m/s. How long will it take to cross the river?

  The driver of a motorboat that )g ul sa8u /; :extw:cntatk()can move at 10 m/s in still water wishes to travel directly t:;c/) tetw:k()l u xn8agsuaacross a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading dikn2r6 1m9kiqte lvt1b/vg:* p: l 3vgfrectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fa 3rfiq92116ggtl:vkk* tl pnevbv:m/st can she swim in still water?

  A swimmer heading directly across a river 200 m wide milie m vf3+t0e-et1;reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is-m0e;1l miettef+ iv 3 the speed of the current?

  A boat, whose speed in still wat4qh h,a rsxa;o6./pdier is 1.25 m/s, must aim upstream at an angle ofpid ,o/ qhas;r4x ah6. $27.9^{\circ}$ (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)  $m/s$