Which one of the following is an example of a b. uqgjr.;vgre - 4iw7vector quantity?

  Which of the following operations will not change a vectors/bm d(avp j35me8tfhf0ty7 3?

  Which of the following isd mv+uxi:ik2/ an accurate statement?

  The resultant of two vectors is thesczj2l5i*pe2wb8 b b( smallest when the angle between them is

  Two displacement vect5(kupgb zvmuh65 tx+ fnrb s52a4etb;b * 7t6kors have magnitudes of 5.0 m and 7.0 m, respectively. When these two s6 eh* 4;zf utba vk r7tb+ ub(kt5b5526mgnpxvectors are added, the magnitude of the sum

  Two vectors, of magnidu /tx28 -ecvvtudes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the resultvv/ 2tu8c-dex ant?

  Three forces, each having a magnitude of 30 N, pull on ,wsj+crvh0pwnr 66lss 6u 2z du/es(/ an object in directions thapu6hjsw/ v s s 2r/0n 6w+dr,le(uzs6ct are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the un bxwnbana,w5 k , )3aeuf,8l 7g7em0geknown vector is

  Ignoring air resistance, the horizonta1r(5. p y he6wkohpaj44edwn/l component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angleusi (o3n uem2q30m 7mz 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 coucif6,jfkc*(ay*- l bmponent of a projectile's accelerationla6bfykuij,-c* *c(f

  A soccer ball is kicked with a velocity of 25 m/s at an angle i*).k:xi+wsnc/i xrwm 3fmh -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-parn 10/1gx-tcksb nnzh.allel to the velocity v.1/b c01 nzsnngkxh- tector,

  If the acceleration of an object is always directed perpendicular m5a4r4/ ja2ng3zg wccto its velocityj4 w4z gngcr 2/a5a3cm,

  At what angle should a zk0 ath wz4(/.mkx/ plkz 8zd4water-gun be aimed in order for the water to land with the greatest horizontal range?kzk la.8 hzk(t04m/ xdp/zw z4

  An Olympic athlete throws a javelin at fourj0vde5 yuuge99ez43uhx ax 1 1 different angles above the horizontal, each with the same speev1g j1ad 4 93xeu59ehu0euxyzd: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the seccey0bnik*lbznr 0 3 bu;s 0 6cz.+3fg1p lk:icond time. If the ball leaves your hand with tw z b 0np*cu36 gk3ey.b 0cl+:0iskr;ifnl1c bzice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at 44ealoc cui5brs ;r::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 isf8 ,/ )fez6oudz73xic,phldts maximum height, how does its speed compa7zscofi u8h)l6p fe3xzd /, d,re to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a bi no btcolr;1bp/a./; all /t1co/ l;ra;b npo.biis dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at;cujx6 ,dq1prz69ob k the same instant a second bullet is dropped from the same height. Ignore air resistance. Comp9,6r6z;q u bokpjxdc1 are the times of fall of the two bullets.

  A plane flying horizontally atnu0 lus1b 1g;f a speed of 75.5 m/s and at an elevation of 297 m drops a package. 7.3 seconds later it drops a second lfb0ug; n1 u1spackage. How far apart will the two packages land on the ground?

  A package of supplies is dropped fa6te4n75. 6mu mvj kedrom a plane, and one second later a second package is dropped. Neglecting ai vmm net 7d.a56e6ujk4r resistance, the distance between the falling packages will

  A pilot drops a bombc83 srb(j6qtzdm+ 9 gq from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizonta+ cmsq96z tg8q(djb 3rl location of the plane will

  The acceleration of gravity on thdww.e6hqla1vks t o5s:69 4 -fhycm*ke Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you. ssckdhv*o 6m: tkw4ehw6ayqfl-19 5 would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x ax 7 nkp 40+/ in,ewo7.dkpmuomyis relative to a straight, level road and pass a car trav yk.m0oon 4p+7 ,7du eniwm/kpeling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due sou yl8big6x ;kr *:nywnrva-4h+4zcu4g th with a strong current. You start out inzgw4kn gly:n 4xh;ar+4 y *v- 6u8crib your motorboat 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 tiej ,t iw(vrs57me will it take you to move ,(7 vi swejrt512 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle ofr ss ++c(u1zdh 30 degrees below the +x axis. The y componencrsh+ zu(d1+st of A is

  If a ball is thrown with a velocity of 25 mlbcm+ml. 3v2)ld .xcx/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 straigx4n o t:r,n7okht line in a direction north of east and you end up 2.0 km north ant o o74k,n:nrxd several kilometers 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 velocitqq+0b oux 6ry+y is 8.00 m/s. Theq+x6 +y0qbor u angle between the direction of its motion and the x axis must be

  A 400-m tall tower castsw8mnlst-rv yam(ufh.*7 *h4v a 600-m long shadow over a level ground. At what angle is the Sw* h*lma-hm47( nfvyvsu8 . trun elevated above the horizon?

  Two vectors A and B have components (0, 1;bfyf xs )c1;2dvfl1m) and (-1, 3), respectively. What arevs2;f1fcly)b d;1 mfx the components of the sum of these two vectors?

  Two vectors A and B have components (0, 1)d o :nzlnp)) ,(jolp9o and (-1, 3), respectively. What is ,9(pj lzol)o:pnn do) magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnisvo:v t2mjrc8hs2b:( 0 aa1z ztude of h tb0(mra1o::z zvsv2 jcas 82C ?

  A car travels 20 km West, then 20 km South. What is 9as bh,j ;i 8quc/k83 hhov*n)zf8y *xfqrx( nthe magnitude of its displacemea89 f c x 8i)/ n*shfu( 3;qqnj8hkr,bhyxv*oznt?

  Three vectors, expressed im0tau w w ll8n*fz67-tn 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 Cartesiabfbjx q ws9vb.5((cuyg5on92 n 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 vek cu(+9yiax t.ctor B = (+3.0, -8.0), what is the magnitude of vector C = A -iy+cka x 9ut(. B ?

  A runner runs halfway around a circulwz7qd 7;amp1nz.vfh7 ar path of radius 10 m. What is the displacement of the jogg;np 7 1fh d7zavmw.q7zer?

  Two forces are acting on an object - eb )rb2,;jg aa9(tayh 2pqkcas shown in Fig. below. What is the magnitude of the resultant fo29yqbgp- b;r c(aaea2tkhj ) ,rce?

  Two forces are acting on an object as shown in q9-wf.vvo6 ax *q n9jgFig. below. What is the direction of the resultjqfogqv.- x6w anv9 *9ant force?

  Vector A is 5.5 cm long and points along the positive x axis. Vector 7+q4 er1pylpeB is 8.4 cm long and poinqy4 pe+7rp e1lts at $+30^{\circ}$ 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 89 cm long and points-hc3b9pmppv ; at $30^{\circ}$ above the positive x axis. Vector B is 27 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 horizontall:yhzmcug(7z9suo39 ty with an initial speed of 16 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the clif 9g:h zu(tc3os m79yzuf to the bottom to be 4.1 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a vel.s pvzi3t38 7n isjg z+ja3fj(ocity of 12 m/s, from a bridge. It falls 29 m to the water t3jvn3.jsp fjsizg+zi3a87 (below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 22 m above th8m nf7 -ejmc+ t0gmtr5e ground, strikes the ground after traveling horizontally a distance of 21 m. With5+m fn7tmmcg -0ejtr8 what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed fhb.r7 ibd1zpd7-kv, of 12 m/s at an angle of dd1 bbz i h77-f,vrp.k$20^{\circ}$ 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 a/i,mw uar2r-m/s at an angle o2 w-/uri ,aamrf $19^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velo3k5+k3t+a9 bshk crx )tko4qicity of 47.2 m/s at an angle of $31.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched wv*y (*.yc o;csln)a.uv pxxr4ko9u) v ith an initial velocity of 38.2 m/s at an angle of $31.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at2 o2h4fif o9si 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 horiz) ; b3t4ca:ixv-c, ddub n 3oyjvn+9lmontally at 23.0 $m/s$ from the roof of a building 42.5 $m$ 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 groun d ty0efly w6x*q8f,d8d level with an initial speed of 46.8 m/s at an angle fdy xl88 y q*e,6dft0wof $37.2^{\circ}$ 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 +b h2gbx1u0vr .lwb9 ;9hdkso 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 time it would take you owkhb92 rvhu;bl +s9 bg1dx.0 to finish would be

  A plane has an air speed of0tm*psa7 un)d 5vit 3di*-t(ey*x inn 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to the grou t*-tvin*)y(mten pi3dd07u s n 5ai*xnd is

  A plane is flying due South54 o7b8hwu ,ls6lxn yd ($270^{\circ}$) 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 ofr2k9ojm1m7 s g 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 projectile with speqs u(1vw/k8k)qjb 3amed 50.0 m/s inj8kqb 3v 1mkqa/)(swu 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 8.0 m/s, is directed across a riveidzt12 9q m51b7b xxa.v3d,iq ,dy vgjr with a current of 6.0 m/s. Wqz.qa ,b1 g,v12vdx i9jtix3bdyd5 m7hat is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move att4qc 0:h2t ifg 18 m/s in still water wishes to travel directly across a river 0.9 km wide in which the current flows at 4.5 m/gh4t0 :fcq2 tis. How long will it take to cross the river?

  The driver of a motorboatc0e 5gc(uwu ge o06r wwu0)tpo(h-5m z that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver gwc 0e650 twprch0)oz-uo(u5 wemg(u head the boat?

  A swimmer heading directly across a river 200 m wide reaches the sj+q;myl9i k7 opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can;i+7my jq ksl9 she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite tw144y9piv jwbank in 6 min 40 s. She is swept downstream 480 m.wv 441tjwipy 9 What is the speed of the current?

  A boat, whose speed in still water is 2.15 m/s, must aim ups7 0 y6h, eqamkv9)qnfij wz0t7tream at an angle of7ev6 faqmh00zyit , nj79)kwq $17.8^{\circ}$ (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)  $m/s$