Which one of the following is an example of a vector quanti g0-de3d5uxd((9 j * nvu4ve rccyjnx*ty?

  Which of the following operations will not change a vecto;5mqf(ofbkn3 c1w:xp r?

  Which of the following isj o(cj,c)t o9r an accurate statement?

  The resultant of two vectors is the smallest when the angle jy8n9i (w)snqm6p 5yybetween them is

  Two displacement vec k3p)2*-ewyfclqp e z/tors have magnitudes of 5.0 m and 7.0 m, respectively. When tw2eflp) -c*qez kyp 3/hese two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the ymoymq8uh7dv3v)3v 8 following is a possiblevm m) 8ovd7u33qyvy 8h answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N( wl c2s6t -5uymkeug88/yvso, pull on an object in directions ty o2g8c6 stw8yvu(-/ue lskm5 hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown d6 + ijvbjs04-r f24uhipd1wevector is

  Ignoring air resistance, the horizontal component of a projectile's velocity 7f:ao-jz:nth

  A ball is thrown with itdw3 (nj,l mgr)0 kq-a velocity 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 comp47 d jwzv+gjn3 cvhbt+j /34bvonent of a projectile's accelerationh vt4j 3v+jbj7bnvgcd z4+w/3

  A soccer ball is kicked l0mx/,k+ 1p,t3bv;k o)fjtozhb8zz m with a 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 object i 7 uogxfmuy/2:.e.bxor;:tt vs directed anti-parallel to the velocity vectort2 u7:o/g :;eyt m.v.bux xofr,

  If the acceleration of an object is always direbg:z qv:/g31 shtwam x1ak,v5cted perpendicular to its velocityh1 ax5 gmg3w,sk1v :t vzbaq/:,

  At what angle should a water-gun be aimed in orszjp,cvjqnpwb *q)20b 6:qih3b .v * zder for the water to land with the grq2z)js vp3,w6bh:n0qbbpz * .cij*vqeatest horizontal range?

  An Olympic athlete throws a javelin at four different angles above 0xq6rv)hc49kk 0w bvg the horizontal, )bxk4hvg qc0vr 0 69kweach 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 ba 24(ommoj8v y0szz 5apll for the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) wouldmzv 5oaojs0(8 y m4zp2 be

  A ball is thrown at an original speed of 8..qayvx5 zy :tb.6uq7u 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 heigit b:oqa 0.o5aht, how does its speed compara 05booi.a tq:e to its initial speed?

  A stone is thrown horizontally from the top of a tower at thesrgj01a6j9jw same instant a ball is dropped vertically. Which object is traveling faster when ijjrj16ga0w 9s t hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second -8s(v c,mvog bbullet is dropped from the cmov,v( s8gb-same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 52.9 m/s and at an elevativb, a ian( i)mqaz,9/kon of 253 m drops a package. 2.1 seconds latmba9qa ),ikivz/n, ( aer 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 secoxl58k1ux h4h-wsw-c m h2jq6and later a second package is dropped. Neglecting air resistance, the distance between the fa 16l8-kh jww5usha xm 2-cq4xhlling packages will

  A pilot drops a bomb from a plane flying horizontally at acy(vud66e-d y e nhz+1 constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane wiecz6(u yyd1e+d 6-vh nll

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. Iao d3- zuj:hj7f you hit a baseball on the Mhdau o:3jj7z-oon 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 relativ)z-)h*i8 bke qkelph;, 5m exze to a straight, level road and pass a car traveling at 45 mi/h. The rela58l e,e zmzk)k;h) pqe*bi-xhtive velocity of your car to the other car is

  You are trying to cross a river tdz 2+d8sgns 5km3k wv:hat 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 pointz853vd +2 wks ksdmgn:. You should head your motorboat

  Your motorboat can move at 30 km/h in stillv48)xhio 1 zae1 7pf:ya hs8pl water. How much time will it take you to move 12 km downstreapixav1 s881 f:7e)lz 4ohyaphm, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle ms*2k zv 03trzg*6 hko.sxrw 9of 30 degrees below the +x axis. The y componentgx t0h9mz632srk*. ksv rzw o* of A is

  If a ball is thrown with a velocity of 25 m/s at anfzibuol5orv9u2 /, d(vgt f,( 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 27e1ml9 o oxpxxndw00 *tly 3gin a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east hax ep7x3lool90yxwm 20ndt 1g *ve you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its veloffd7d83ky :r4f zyvl ;city is 8.00 m/s. The angle between the direction of its motion7zfldd4 f:38 yykr;vf and the x axis must be

  A 400-m tall tower casts a 600-m long shadow ove-z18 lsz9pn5tiw usr6 rl-4(sk7 ylq qr a level ground. At what angle is the Sun ele 4qsq-i- ys8 lt(75pn6zrluskr9zw1l vated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Wh/ m lhzh,pu uz91 sel3xzw+(3iat are the(mh9z3plzlu31s, +wh uiex z/ components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), resvzf5c,gk fv4l6e 3 4s66t+jutk2x nks pectively. What is magnitude of the sum ofzgkvfc xue6k4+vt3 ,n j4fl 5st k66s2 these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnitu,u e4gw;hgr b (p1wqk8de of C ?;ewp4gh q(8gb 1u,w rk

  A car travels 20 km West, tm+g,,jj8 g,tiulgf0ik1uiy8 hen 20 km South. What is the magnitude of its displacem,m0ijj+,tggii1u 8 ufg8ly , kent?

  Three vectors, expressed in Ca)l i1c fnn*3xj d*a0( vsu8ofhrtesian 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 coo(ctc/fwjgn 9 .rdinates, 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), 3xm+ /d*f meoblkff 1:what is the magnitude of vector C = lfmk1f+f/do*m:3bxe A - B ?

  A runner runs halfway around a circular.4mf5,ue20s o0fc r/o kjrvcr path of radius 10 m. What is the displacement of the joggeckr20secfj,o rrmo5. fuv /0 4r?

  Two forces are acting on an objectn sl ny+3pli/0w5j1pq i/.qev as shown in Fig. below. What is the magnitude of thei/5nqq wpl1v+p iny0 3j. /les resultant force?

  Two forces are acting on an objq1w6mxl pxn s7(6sz k4ect as shown in Fig. below. What is the direction of the resultw mz7 qs6 6xnkp(xs14lant force?

  Vector A is 3.1 cm long and points along the positive x axis. Vect2nn u0 /,nei)ejtvwy+ cq+ab;or B is 7.2 cm a y b+nci2u, +nwej/vt0 e;)nqlong and points at $+21^{\circ}$ 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 55 cm long and points atv8 k (b4gajxff+,djw:c/exl;b +k 5l u $30^{\circ}$ above the positive x axis. Vector B is 23 cm long
and points along the negative x axis. Vector C is 46 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 wiq2vo ifz7qo2 h,0e8 srth an initial speed of 28 m/s from the edge of a cliff. A stop watch measures the sto2orvio 7, fhzq seq802ne's trajectory time from the top of the cliff to the bottom to be 3.8 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of) .zlg+wmd)j2zq izy1 19 m/s, from a bridge. It falls 11 m to the water below. How far does the rock tg2 j)l m1 q.zy)wdzz+iravel horizontally before striking the water?

  A ball thrown horizontally from a point 26 m above the ground, strikes tm.j pve 7o o;/l/u*4b)bva ejzhe ground after travelbjb*pv/e/7om ;oje uzva 4.)ling horizontally a distance of 19 m. With what speed was it thrown?

  A jumper in the long-jump goes sc,b73b w,fljcmeugv(3 46hh into the jump with a speed of 12 m/s at an angle ofg,fb6 chc h3 l (jus,47b3mwev $20^{\circ}$ 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 spef2duj g:dy n)u+ w-,dgurg2k;ed of 11 m/s at an angle of u:+ dk gw2)d,2gu ;f-gd nryuj$24^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched 6di2mcs4u jt3 with an initial velocity of 20.6 m/s at an angle of $26.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 54.4 m/s at an angle of t j8qtj3xi:,k $22.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle of*ib z bkr9d5) p8wm mqt51bf5p $30^{\circ}$ 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 19.:o m gsb-q cx0 ;h9lx1r9fz*/bvbqok+8 $m/s$ from the roof of a building 56.4 $m$ 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 grou+q arhe9 gcze+rl d (kx74ehl: y-3ag,nd level with an initial speed of 62.5 m/s at an a g(4kdaex3hrz,+e rg9 l-q e7:h+yl cangle of $43.5^{\circ}$ 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-mi6k8gy,;l1 2g*kfsiua b v h3x race 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*uk8 il6ik fx1,b v 2hs3g;gay 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 win3d/; 2ims ;vz2rhatnad of 50.0 m/s to the West. adn3mh2/;2 i ravst;z The plane's speed relative to the ground is

  A plane is flying due S nzi)f(d6ld s-outh ($270^{\circ}$) 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 speedj3nx v3a8* z.q o1-)w;yh pashwfr 1kg 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 prehsvs/+ 7psj9m;l cg8sguy+ 6ojectile with speed 50.0 m/s in a forwaj68es/; 9ms+ v y7+ghlsuc sgprd 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 wiclsqsgyy5b0 f.,/ 5 kith a current of 6.0 m/s. What is the speed of the boat as it crosses/q 0ybgcf.5s ysl i,5k the river?

  The driver of a motorboat that can move at 14 m/sl36zwbuj)6 y f in still water wishes to travel directly across a river 1.3 kmjw)u ylf3zb 66 wide in which the current flows at 6.9 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 )mc,rq 2 f/(fr ah9imkb3;ezom/s in still water wishes to travel directly across a narr fzc9i (q2o3,be/a m hr)f;rmkow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across af)a szfr(/ fv8u3a(nu 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 still/(3 ua8fs(ufnafr zv ) water?

  A swimmer heading directly across gn:z:+5kyc nil44b3; ewmab ju z8ha,a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the current?+: klubmz8e54 4;aw yaz hib:3cj g,nn

  A boat, whose speed in still water is 1.99 m/s zcek ;w, +;lkgq0()kt8 to dsa6(kmyv, must aim upstream at an angle oft6em(c gs8ka,t0zqo;+ ()l ; dkyw kkv $27.7^{\circ}$ (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)  $m/s$