Which one of the following is an example of a ve f7;ld0s35zc8m4 el;b h6tx2atg qqdw ctor quantity?

  Which of the following qm/(u6 y wlso+hxwrcj 06;rx 3operations will not change a vector?

  Which of the following is an accurate statemen tpvja84. h.n -l3y so0:a20xejkzbzlbu- j f9t?

  The resultant of two vectors/wlo;l8ejlog 3ykgu5 3h-j l;p9 gj/8dh+hdz is the smallest when the angle between them is

  Two displacement vectors have mjc/9zm *bm/gg3/dj cmef9t2m agnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitum/9 3 gmm9gc /jce/ zjd2btmf*de of the sum

  Two vectors, of magnitoz b+r xjcg4.pxrhs)xh 071c3udes 20 and 50, are added. Which one of the following is oh ) 1rzxbxc p0hj4xc+7r 3.sga possible answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 6e qgmgj9m2+ks*da*s 30 N, pull on an object in directions that arkgj+g9se* q* 26ma dmse $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, th(e2s dy qijo 6b7*s-o/a*i ghre unknown vector is

  Ignoring air resistanczvmrxh)jauxy ++eyc(xlk+y9q 631 v2e, the horizontal component of a projectile's velocity

  A ball is thrown wittb .;ed hj+p6th 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 component of a projectile's accgvqv.c 9w0sb5iep ogkv2-4-,iw *ml selerationw iq , *ls .pic5bw- o0-ekvvgv9sm2g4

  A soccer ball is kicked with a velocity of 25 m/o8jf)z t9) 9llvh1o josb/8de3m* nmps 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 vectzrpuxagi3qz d+ e2;f(h;-9d dor of an object is directed anti-parallel to the velocity vec- ef;zd+ hugd9rd;a3 ix(p2 zqtor,

  If the acceleration of an object is always diri-7)jt/lt e5ue hn1a)ea 4/dcadjx b; ected perpendicular to its velocita d a/eh ud e4t;)a7it-ejl)xcj/1 bn5y,

  At what angle should a water-gun be aimed in order for k yce3 dyya;99the water to land with they3 ; aed9ck9yy greatest horizontal range?

  An Olympic athlete throws a javelf+d kytfy(ui f:6ew.q a9f 4j/in at four different angles above the horizontalwjf:aite/kf f dy94f+qu6 y.( , each 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 ball for the second 9zff)lt vyr i m.vj) a1 ld5oce)b(z.-time. If the ball leaves your hand with twice the velocity it had on your firsy 1 ac5(tf j-).z9rilm )bezlv)df.v ot 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 an angle of59y iwq w6 ;*jpjv0fmz $35^{\circ}$ 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 di hvg1y+c m*+k+:w7 wb j5ihosoes its sshj w hii1ovm* w+++k7:c5y bgpeed compare to its initial speed?

  A stone is thrown horizontally from t9-2x3intnr(*,6hwm a t o idniunm(d.he top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ground be9* iiuti6xomwan mh, .(3r n2dnt -dn(low?

  A bullet is fired horizontally, and at the same instant a second bullet is droppg9dp/r ceoj--:b2;jgp7z hi br1mz 9fed from the same height. Ignore air resii:g/gzp9jmfob -c e1pz rh9;jd7b 2- rstance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of dw asqg5.ovv e*w*:pjo(2z:v 71.3 m/s and at an elevation of 122 m drops a package. 7.7 seconds later it drops a second packos5w jgavv:edp:*q .ozvw(2*age. 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 nxi-hog2;ldtfp en; mpxs*:: 4 *k f4qpackage is dropped. Neglecting air resistah et4;;:f**2x - odpqn4 spklmfg x:innce, the distance between the falling packages will

  A pilot drops a bomb from a plane flying m7ad4: te 3d jvu,a0zjhorizontally at a constant speed. Neglecting air resistance, when tta7uj4,ezmdd a3v: j0 he bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-si(dsmgig(s r( 7xth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) ths((i gm rdg7s(at you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level roa+glt:+ dr 8veed and pass a car :t led+ g8+evrtraveling 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 south witq+3hlgg- 5ywfj +r yw;+i h2gxh a strong current. You start out in your motorboat on the east bank desiring to reach the west bank dire y 3+5 lgr+hg;-x2w figyqwj+hctly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in sti/uwlbp *8m,aill water. How much time will it take you to move 12 km downstream, in a river fl*l,ipmb uw/8aowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 de bx;cx /9g5hy5jj( +ru,ynwp9l5j q3akm8lsr grees below the +x axis. The y component h5; j55/9lj l p (cqkb nr+xxgjw8ru,3amyys9of A is

  If a ball is thrown with a p xr2g**)efu 3 jnru qb h.qj19yqu84hvelocity 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 north of east and y78y7tw i-au d.dqs wm n9 um+bch3lb49ou end up 2.0 km north and several kilometers east. +swb- yu8nmibdmd . 4ac 7uwq99tl37 hHow many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The ). obp e-bqfh/eqz+,r3h1ots x component of its velocity is 8.00 zefh) o/tqb.p+1qho -es 3b,rm/s. The angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what ix ar(xki5t -;)-ezt sangle is the Sun elevated above thek-);-xezr 5ts( ix ita horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), re;;f: cadpywa+t: vxz9spectively. What are the components oz:+:tcv9p ya;;aw dxff the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivelydqou8q 5 hrdl). *pg2dhwpi: 2. What is magnitude ofpqwl*.d582g : ro2di h)qdp uh the sum of these two vectors?

  Vector A = (1, 3). Vecm8 *q7q vzw4 4;unhigjtor B = (3, 0). Vector C = A + B . What is the magnitude zwmjv4qu48; iqgn*7 h of C ?

  A car travels 20 km West, then 20 km South. What is the magn; opzbrnhr )2-itude of its displacementbo) rh2 ;z-nrp?

  Three vectors, expressed iy0tcepx //x g4we, lw0n 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 Carte6+tnulg)tb v.ja m;7 lsian 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), wha ,e enn*-czei7t is the magnitude of ve7e*- ez,encinctor C = A - B ?

  A runner runs halfway around a cio c25ew2x.-- kmc9sm- ;oux vexzlrw(rcular path of radius 10 m. What is the displacement of the xx ko;rcs- wlexvm-mz e2w. u52(-9ocjogger?

  Two forces are acting on an object as shown in Fi0oe-rb rt:4y+o+reh 7 yj(e-igr+ns+ pqo2skg. below. What is the magnitude of t( 2rsye- n+-prjqok7oi0g : 4seyr+t ++bore hhe resultant force?

  Two forces are acting on an object as shown in Fig. below. What isqym:zyh x6(/s the direction of the resultansxyy: 6/(qzhm t force?

  Vector A is 3.8 cm long and points along tz ;kn+ptb(i e/j4pke 3rv.v4i he positive x axis. Vector B is 5.2 cm /nrtz vkpi4k;.4jevp + (b ei3long and points at $+31^{\circ}$ 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 72 cm long and poin r/h15 t*boes*etic (uts at $30^{\circ}$ above the positive x axis. Vector B is 17 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 with an initial speed of 15 m/s from the i73 w03dfpt :a*hzguledge of a cliff. A stop watch measureial370:ph f3w dg*ztus the stone's trajectory time from the top of the cliff to the bottom to be 2.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of fknjx.0geo 4wjc 1qtqeago0t. 3n(3, 16 m/s, from a bridge. It falls 21 m to the water belowta3nnt g04,ofq 1jejxqkc(03 g.ew .o . How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 29 m above the aj wf/hm*m908 g x;c1*kqd rgaground, strikes the ground after traveling horizontally a distance of 20 mqad w 1 /c*8mg9x0kr;agf*mhj. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a sa;osp (ui +m.md, l1lspeed of 12 m/s at an angle of .+lmasusod 1(,; pi lm$20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump oln a wwt,).7ygoes into the jump with a speed of 8 m/s at an angle ofn .at7l,o)y ww $34^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 40.4 m/s /kacpo i e,;2-2+:mrf vg ctml/fgo a5at an angle of $43.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 30.1 m/s iijf/rfa (mk8s8e(i2 (2kk g rat an angle of $17.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle* :w;m uwj3hjoh)jpz2 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 horizontalltd u13 rmzkdoljz5t 6j*j7 9e2 n8nnb3y at 27.6 $m/s$ from the roof of a building 65.5 $m$ 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 level with an initial speed of 47.1 m/s at anx:fott-(p7uyab.4u y/m6h ot angle ofyut mt/hab6.uo -o( y4 ftp:x7 $39.9^{\circ}$ 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),0s-q gc4-os 7je::jdxjxi.+ b dw nom3 you can run a 1500-m race at a velocity of 4.0 m/s. If you randne siooj0+qx-4:mg .dwscbx7-j3: j 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 inb zuzx,8 a0)rr a wind of 50.0 m/s to the West. The plane's speed relativr8x ubz,z r0)ae to the ground is

  A plane is flying due South (y )z z0q)thgcf f.fjya:ck9o)z/1ch( $270^{\circ}$) 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 gq ; jm5e czm999lp9 v)oh.zjjof 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 o :gd8qox4oce 9 tpa69speed 50.0 m/s in a forward dio4oqde cax9 gto98 6p:rection $30.0^{\circ}$ 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 watedxc)c7mb m: wbjb(15c r is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed o: 51 7) bjmd(bcmbxccwf the boat as it crosses the river?

  The driver of a motorboat t;:) dvy tenxb 03qo 0)ymal0oshat can move at 11 m/s in still water wishes to travel directly across a river 0.8 km wide in which the current flows at 5.4 m/s. How long will it ;)qmo0)nsx :ob dyl yv30t0a etake to cross the river?

  The driver of a motorboat that ca sz8vdvghv)a ;vv 6+vdls4+ r+n 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 head the boat?dvv rvs)dgvs v8l4+z+;+ah6v

  A swimmer heading directly across a dd+ane3ztq jzg+wh 5+w(6d,mriver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept dow6jqhdmd( zz3eg,5+ ++wand twnstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reachesfcxocno 5v/d (a4kh y0+/kta8 the opposite bank in 6 min 40 s. She is swept downstream 480 m.o+0d/cftyk5aa/ 8hco4 nkv(x What is the speed of the current?

  A boat, whose speed in still wateiy(5lt1w: v, yx;urm s,v;nhyr is 1.39 m/s, must aim upstream at an angle of lxv :y;h,i ytu rs1,5;nvwym($30.9^{\circ}$ (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)  $m/s$