Which one of the following is an example of -r+d xve) x)h8ic2tiia vector quantity?

  Which of the following operations will not change a vec2j9o3 ; * ;hn7ked1o0hp/meicdsz odwtor?

  Which of the following is avum)wru ;w h3n63lobd 2qo66rn accurate statement?

  The resultant of two vectors is the smallest when the angle-wwm lz9s/00xf9kfs i between them is

  Two displacement vectors have magnitudes of 5dzp*px n 6hf),.0 m and 7.0 m, respectively. When these two vectors are added, the magni ,zd)x phpn6*ftude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which 5bddjy; r1/onla a wyu h4+ 8patbsek749f3q5one of the following is a possible answer fouj;a3 +/p4s 7y 5nteqr9dd4 ow5hb a k81lyafbr the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directionsv . 4h:wsh*cc5t fic.x tha. stcw.5ivch: h *xf4ct are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknos1nla (.i8dl li3e+rgwn vector is

  Ignoring air resistanc*ne528tq jk -0xejk 0 tyvl+lce, the horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at dvyrs 988cw p:eb:*doyk+m7uc:1viqb* ym f/ 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 n cl az.85xo7ya projectile's accelerationyno 7.ax5lc 8z

  A soccer ball is kicked wi+y5c :mgb ao)-npc/yh0q h r8bth 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 vecil. /bpvxg:u hk -q(c(tor of an object is directed anti-parallel to the velocity vecto-x:(hg(cklu iq. p bv/r,

  If the acceleration of an object is always direc;ntndkc6j b0n1 (jggh4s) qc7 ted perpendicular to its velocity,c7( 6qd;gj4 n nc tnb1j)ghs0k

  At what angle should a water-gun be aimed in or oa8:vmqs;/keder for the water to land with the greatest hov qk8a:o/s e;mrizontal range?

  An Olympic athlete throws a javelin at four different angles 1wewx8 8gt5v1n4mga, yhw8 xs above the horizontal, each with the same speed8nws1t ,av1m5 4xyg8w gxhe8w: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second timkf;lt lziu .7-e. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R -z.i7lt ful ;k(compared to your first serve) would be

  A ball is thrown at an ora,dt31s e:kkf 0a-;ulhlgp-ziginal 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 a85h2 u 2vtxmbg field goal attempt reaches its maximum height, how does its spvu ht 8bx2gm52eed compare to its initial speed?

  A stone is thrown horizontally from the tov5*+oorem r) qp of a tower at the same instant a ball is dropped *rr5 q+oovm)evertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same ins33 gkuyal4s0x tant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of30u gayk3x4ls fall of the two bullets.

  A plane flying horizontally at a speed of 60.8 m/s and at an elevation of 2kcca a1 6vn-me+i)rb;0 mjh/t81 m drops a cm01c; a-n+rt i)h vjebmk6 a/package. 6.8 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 second later a second pabhf(v3st(:eu/gej ;j )-.g x5isgim nckage xm/gg) (i3:;egfbht (vue5js. j si-n is dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane9mas 0edbepqlxly8*x qns 67a)*y;/k flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal l8mlyq ;le p90 dxs* se/na*7ky)qba 6xocation of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth5c-vt kw8j (mk. If you hit a baseball on the Moon with the same effort (and at the speed and angle) t tc8v(k-kmwj5 hat you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x aw x/ e j;+;nrhco1x4jsxis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative veloj4n/sho r;+ ;xcex1 wjcity of your car to the other car is

  You are trying to crkw6xxcj5 e7w5- go )juoss 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 hea wxg6ecou5 -7jkjx)w5d your motorboat

  Your motorboat can move at 30 km/h iy1pw4(j 7/q xn7srbcw n still water. How much time will it take you tos/( npwq1 4ycrwb7jx7 move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreepph x1xaz.z5b1v: i mv(*7cc fs below the +x axis. The y component of zxc7iz1m5 * f:xv1cbvp. (aph A is

  If a ball is thrown with a velocity of 25 m/s at h5ihp e8gm j+ .xmp-v,x gh8q2an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight linzuinb8vc*/n0 m a xu;2e;hjm:e in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walked0e 2uxihumab;mn* c:n; /v8 zj?

  A butterfly moves withma-rqq(94 h va a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of(h avqm4a9q r- its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. b k 0yop5da75qi/l7nrhi(e c *hzjm/1 At what angled1i7 5y a nojcz/p/hkmqrhb7e5 *i l(0 is the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectiveljj1 (um8gs. 9-wnffhny. What are the co jf98ujnwhfg .s1mn(-mponents of the sum of these two vectors?

  Two vectors A and B have . 8y8ncvu8x y(0iznyy b lnx90components (0, 1) and (-1, 3), respectively. What is magnitude of the sum ofvyz8y ny 8b8yc.0(90uilxn nx these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). pd/ +hi www(0bn(w ;oavr,e/8t3 pupzv7dp-p Vector C = A + B . What is the magnitudppbd8upz0+w7w(v3 t/ /v w,a odphw npi;er-( e of C ?

  A car travels 20 km West, then 20 kk6s0 *sh3v; hc akz c6:txbic6m South. What is the magnitude of its displa b kcx6sc ;hi60tsh6a:c3v*kzcement?

  Three vectors, expressed in Cn8dhif.mr , p/xbv o8f/uovjz(f1v; /artesian 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.* zhi na9(ayt Cartesian 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, -8.0), what is a ) +ajh uyjx)d5dmv-,the magnitude of vector C = A - B ?,d)avdau - 5m)x jjy+h

  A runner runs halfway a i(lxa3qla+* qround a circular path of radius 10 m. What is the displaq+ ai(3a *llqxcement of the jogger?

  Two forces are acting on an object as shown in Fig. below. What is the magnitud+e3+ nad b :wdz3ijax7i:+gdg) 8jj pre ag3+gji dxned3)i: r+ djbw7za:j p8+of the resultant force?

  Two forces are acting on an object +kt hq:,u8ig84xtgmmas shown in Fig. below. What is the direction of the resultant fo, hgi x +gtm:qk8tu8m4rce?

  Vector A is 5.3 cm long av:bx-1u o2jqp /k qkz2kv)k ujff/-t7nd points along the positive x axis. Vector B is 9.6 cm long and 2t jzfk-2fkup)7uxo: v-1 k/jqkqb/vpoints at $+55^{\circ}$ 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 69 cm long and;wvcvplj7 r.i mx a.e5ojc8i+kmc3:9 points at $30^{\circ}$ above the positive x axis. Vector B is 15 cm long
and points along the negative x axis. Vector C is 37 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 wit /1hfhh:x4bg5w6zu sl h an initial speed of 19 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the c:w 4h hulg/s 6xhzf5b1liff to the bottom to be 3.4 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a vel: z7a6om o tbhaz7lehln8y 9ad5v/19w ocity of 9 m/s, from a bridge. It f75 hm9 ol/ lnha8z t9woazea:7vdy 16balls 26 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 19 m ablhy . uu1bmxlx.2/ 2ow):me*utk(it8,fckvhove the ground, strikes the ground after traveling horizontally a distance,umkl 1ofbk8)22ueh/ c(.:uyt x m wh.v*lxit of 21 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jumzqy/w0s,y,( e1z qms dqiyx,: 7y/wap1 gymb0p with a speed of 12 m/s at an angle of,qy,/y :p0zgyq 0/wb1x1qyzid a (e, ms7sywm $20^{\circ}$ 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 13 m/s at a 6sv 6f3w1(pz4;dyp lp;ykrosn angle of d6y3w6zovl(sfpyp4kps; 1 ; r$26^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched o ;w5 677btbghnmlg.vwith an initial velocity of 58.4 m/s at an angle of $25.4^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 56.6 mble9 + ,gdb:zo/s at an angle of $43.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired/3damsu7kh6 8)vapry 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 horizontally at mu +/0ivvw)fm 22.9 $m/s$ from the roof of a building 38.6 $m$ 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 sq,2 x+hspbn.aps 6yzj.4t;t level with an initial speed of 49.8 m/s at an angle of 2 . jbtp pxtan.y+s6;,szsh4 q$39.7^{\circ}$ 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-n;j- 3y y2+ xloa6nwumkum, )qm race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constaq,yxk32m umnlyou;j+ -6w) nant 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 Nia x.i, l7lgu 8aqu,-iorth, and is in a wind of 50.0 m/s to the West. The plane's . ,uaq-7ailul igx 8,ispeed relative to the ground is

  A plane is flying duods7,g8by7 77de 5ap+upsnyt e 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 f-9wk0b pi-gzt *)pkb 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 4ls1i1e c out36vt8dr fires a projectile with speed 50.0 m/s in a forward direction 3s1 84oetc r16tldvui $30.0^{\circ}$ 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,- 1wgayl4.0sfsa(wuq(a cw *e is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it crosse s0we y1*gasqw ((ucafa-l 4.ws the river?

  The driver of a motorboah 3id8v n2kq, bcq4p-tsn 2e9xt that can move at 9 m/s in still water wishes to travel directly across a river 0.7 km wide in which the current flows at 7.9 m/s. ps489dk bi,xvt3-2qn2c e qhnHow long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stikjs,r gx :t*n7ll water wishes to travel directly across a na7 ,jxgs*nt r:krrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directl//r p;oqi;yrr3o/pq rsq,4n wtk,t1ay across a river 200 m wide reaches the opposite bank in 6 min 40 s. She iy r/okar;rn r1,ot/3 q/wps ,pt4;qqis swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 20okl: *i*aotwge r;,e+0 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the s+o e,w*a;*:tr giokelpeed of the current?

  A boat, whose speed in still water is 1.53 m/s, must aim upstream at y+hlz//u jl dqhsw,* -an angle of sql-hl/wj+ y*,h/u dz $25.9^{\circ}$ (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)  $m/s$