Which one of the following isqs mw):456kgc:s cl dj49zvph an example of a vector quantity?

  Which of the following operpg.sl+tc x 61rqjgz6 rf k6v5+ations will not change a vector?

  Which of the following is an accuratjxqitq6 n2//je statement?

  The resultant of twoo*t)zkfyb f qn ,c(5a6 vectors is the smallest when the angle between them is

  Two displacement vectors have magnitudes of 50-flyf198 xz1ir g6zbta18 vgnl +syn .0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the8fyzr zgs8g6v +b0l9yfta1i-x1n 1n l sum

  Two vectors, of magnitudes 20 and 50, are added. Which 1c b ,f8sbal/n7 vcf0zone of the following is a possible answer forvs1bc07 azncb ff /,8l the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directions 7 j mmxnel;/ :iq5pfos28ohp6thathf8e 5pmisn;/ oj m:x2qpl6o7 are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector3-cwcwi67 cdkt -f lj 8x;8khv is

  Ignoring air resistance, the hlgwi88b yfk kvq+;13i h.hiw8orizontal component of a projectile's velocity

  A ball is thrown with a velocity of 204j f(hl2 e6l)6g: zgkk-qgj oe 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 component of a prou00wc cp f s+:zokaa*-jectile's accelerationo:cac azu0s- k0+w*pf

  A soccer ball is kicked with a velocity of 25 modoar/w6: xnj-s cm:*/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 object is directed anti-parallel to the velocit/12e(5 agvxogzg k.kdg 5zg1 eovag(kkxd2 /.y vector,

  If the acceleration of an object is always directe:feey4nlpl; :rqyd-: lgpgjt;(a /c7d perpendicular to its velocity :ep7:ag;f ty 4l(lec/r;pglq-d j:ny,

  At what angle should a water-gun be aimed i3y5u2lu : dhrin order for the water to land with the greatest horizo2ihl 3ydr:uu5 ntal range?

  An Olympic athlete throws a javelin at four different angles above the (tv 8rz)l8wk4)ue ot phorizontal, each with the samwo 4()z elt kt8urv)p8e 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. Inbe07 ozo)(qwzjy lvg8hoym) -f( w82f the ball leaves your hand with twice the velocity it had on your first throw, its horizontalz-(( w8oyn qo j7wgm 0ho l)fzveby28) range R (compared to your first serve) would be

  A ball is thrown at an original speed o*vdno)l-datu z48( nof 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 it;pfd ef;k- m6ezm-d.rv 6s )xfs maximum height, how does its speed comp)d d; zm.p -vmf6fe6ke;xr-f sare to its initial speed?

  A stone is thrown horizas q werhb 8hfo:x.429ontally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the levee:a 24o xhbfq.rs9wh8l ground below?

  A bullet is fired horizontally, and at the same instant nf7aye*:7y w,mk mxf4a second bullet is dropp e47 myk,7aw:nym*ffxed from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 72.6 m/s lu :a-h s5g*mgand at an elevation of 261 m drops a package. 6.1 g-*ml5guh sa: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 sg ;fv nshefh7m:(n qh 7*.(iuuxod-3 vecond later a second package is dropped. Neglecting air resistance, the distance between the f evfux.7 hq*;mvnfho 7u3(id(- hgn:salling packages will

  A pilot drops a bomb from a plane fly, i6e:6m dbaka ;hho)kbeq7-ying horizontally at a constant speed. Neglecting air resistance, when the bomb hits thek ,q; - )6d67kibheh ae:maoyb ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only onkjbyx/to+w(fzha y uy-s1 )76e-sixth of that on Earth. If you hit a baseball on th61k)bh/ wxyyost+z - (a7uyfje 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/8yl - vt9so;e r1;wzaah in the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of t-8o zaysra9;;wl 1veyour car to the other car is

  You are trying to cross a rive 6/lihr( 81i veur(ckcr 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. Yorc81hl6 uirk(ve(c /iu should head your motorboat

  Your motorboat can move at 30 km/h in still watokex;9 1o-ci;kvkc (m er. How much time will it take you to move 12 km k( v1oe;xio ;c-kck9mdownstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The ryc34kw /; -/xabyvuen/*w6tmde om3 y compu a3 wdy vx3o;bm//etm kwec*/ny4-r 6onent of A is

  If a ball is thrown w3 nas5d*zc- h 8rjl+boith a 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 stjl9q6yt3kn 7wlc kw 3,raight line in a direction north of east and you end up 2.0 km north and sevjlnl3tc7w ,6kyqw3k 9eral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a spee. kv;ft 7n0dkdd 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 must b.t;f n7kvdd 0ke

  A 400-m tall tower casts a zwgsl+f -t+8k600-m long shadow over a level ground. At what angle is the Sun elevated abov-w+k +sztf8 gle the horizon?

  Two vectors A and B have comx2 w*-myq-nx xponents (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vex*x -yw- nxq2mctors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively.fw88npj6 :u pa What is magnitude of fpu waj688:np the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the 60jhdjap (1vq8 bugcdp 4) 9wimagnitud ud(h q96w4)0d81v acjpg ibpje of C ?

  A car travels 20 km West, then 20 o-e 3poe5akjz lj1hjd+u3. p.km South. What is the magnitude of its displacemezj hoe3ppud5.k ea.3lj1- o+jnt?

  Three vectors, expresse9x5m;t1pq/louv i y ood59p4h d 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 Cartep 2se3wy* wsa7d 9wj1esian 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),sc)nkp(uq+,hx-w6wkg g:spdf 6 ;l b and vector B = (+3.0, -8.0), what is the magnitude of vector bksg -hug)f 6pwkql nw;s6x,,d +pc(:C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displ ivk7u.6l*f7dn 4 b6znw/wnso acement of th *ww77ib 6d 4uolf.z/n v6nksne jogger?

  Two forces are acting on an objiyu6gy x77 mxq3zt -- lcz0x7vect as shown in Fig. below. What is the magnitude of tz -q-7xmvu lyyx i77 3z60gctxhe resultant force?

  Two forces are acting on4-4w a8rn oipf -cbk8axnv 07l an object as shown in Fig. below. What is the direction pxan0 o4fc-wl 4anb8r-7 ki 8vof the resultant force?

  Vector A is 4.2 cm long and points along the positive x axis. +pd0ekf oy f57Vector B is 5.3 cm long and pk7dypof f05 e+oints at $+26^{\circ}$ 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 pointsge rx yl*g (,z68votf( at $30^{\circ}$ above the positive x axis. Vector B is 24 cm long
and points along the negative x axis. Vector C is 23 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 horizontfny(jhqzqv/z hc; i06w+ h, a;ally with an initial speed of 15 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 bottom +ywhcqj/;0fa(6hzvhi ;z, q nto be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 20 m/s, fro0d u95absus.n gjicg0 k62hem+2 .k aum a bridge. It falls 25 m hgac .i.mukn5u09gs ubk6 2+a ds2je0 to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 28 m above the ground, strikes h 1bfq4e3ljo 7the ground after traveling horizontally a distance of 19 m. ohjb7 l 143efq With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a hpxf.x7bx;;:2rr tt6g ti3 fo speed of 12 m/s at an angle ttg rh.oxp tir;;x:fx327bf6 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 goes into thepjll x-);n, -mxxbi1s jump with a speed of 9 m/s at an angle of,1sj xx);- l xilpbnm- $36^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wiyz43l8 *qvc x iay7mo:th an initial velocity of 55.1 m/s at an angle of $23.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of )/q* f7hfzejq9.cu il5vwj7o q uzd8947.2 m/s at an angle of $46.8^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fi 31sjwqevypx 47 )g .v3/mxcuired 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 horis bkavv;xypy uiu6n6x+n/x3u,1)ft ,zontally at 23.6 $m/s$ from the roof of a building 60.5 $m$ 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 he+(z 1n7dk ma9xk x(*lmgz (qlevel with an initial speed of 44.6 m/s at an anglex91e(dn + akmql m*7z((gzhkx of $37.3^{\circ}$ 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 of 4c.; au 9gcm;yb.0 m/s. If you ran the same race on a day when you had a constant headwind whic a.; um;yc9gbch slows your speed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed oehd-3;auppqn3/ n 0yef 200 m/s due North, and is in a wind of 50.0 m/s to the West. The0uy ;eq h-ndp3na 3p/e plane's speed relative to the ground is

  A plane is flying due Soyk4q/ (9 hoi .( o0idt+hni0mfjm0lm kuth ($270^{\circ}$) 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 headed;topb34m;e h/ fnk8m8vy6kd w $30.0^{\circ}$ 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 horizonts- :un4jj bg68e(stddally fires a projectile with speed 50.0 m/s in a forwar jsg uj8s:d -(46tdenbd 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 with zrfjmh-(urx (-0 f i*14v qqzr(9opqoa current of 6.0 m/s. What is the speed of the boat ar- (q (zf9(o x4 *hq0q1r-jmvrou fzips it crosses the river?

  The driver of a motorboat that can mo4ioao7 agv-g7c( np :kve at 19 m/s in still water wishes to travel directly across a rivac-p an o(vgiog7 74:ker 1.4 km wide in which the current flows at 6.8 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stkvic) 7 1ayx3bill water wishes to travel directly across a narrow strait in which the curkba )i3 c7y1vxrent flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the oppocjsmln0p32vw;g/ qhr w0+ 7i qsite bank in 6 m27 qgs lpqw0ihj3 rnc;v /m+0win 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly acrosb8)*v8c sy.qkwd g gwiq4; 328muqfqgs a river 200 m wide reaches the opposite bank in 6 min 40 s. She is q2k gw )g3v;.smfbq4giq*wqc y8d u 88swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.21 m/s, must aim upstreamb8 czv1.8b uc7qxc8c o at an angle of c 7ubxzob.1c88qcc 8 v$28.3^{\circ}$ (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)  $m/s$