Which one of the following ; 2 cbu 2l,xmmjq;syxu,*uw3 his an example of a vector quantity?

  Which of the following opera w6lsfx z.j/e.tions will not change a vector?

  Which of the following is an accurate stap1wa69t + xw;rtimzm4tement?

  The resultant of two vectors is the smaz/bhw)no y c3ptn3x- 1llest when the angle between them is

  Two displacement vectors have mav m1o(h-uj+ +fxcgc3wgnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the ma+h-x mfv1wc uco( jg+3gnitude of the sum

  Two vectors, of magnitudes 20:8jo .nu*dv3q tuy -iv and 50, are added. Which one of the following is a possible answer for the magnitude o3t-u8.ydou:nivj * qv f the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directioo6n4j:g nemt nsj u*7(ns that : n4jgnse7j*u6mo( t nare $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown eki+dm d:i z:8vector is

  Ignoring air resistance, the horizontal compo7cpot40(g 8ie /ychqanent of a projectile's velocity

  A ball is thrown with/z g2clj)nj r6 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 resistancecfmuxgbe1am. c+c8. +s, +ct5drm2i a , the horizontal component of a projectile's acceleration+5x.mg cr+t2i,1f ccu8a m .a bcdme+s

  A soccer ball is kicked with a velocity of 25 m/s at an afy-dar+ur . l-a; tpmlq*nd8(ngle 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-parallemmwl0 vcz4 s/(l to the velocity vector,ws4zmc lv /0m(

  If the acceleration of an object is always directed perpendicular to its velocm a yoef,t8ub3q)m,o8ityqo,b3 t y eum8,8m)afo,

  At what angle should a water-gun be aimed in order sic) p rcw/ kdq)xj;)2for the water to land with the grexr2id psq ;cwjkc)/))atest horizontal range?

  An Olympic athlete throws a javelin p4i fq f-q; vomid-py1a59z h+at four different angles above the horizontal, each with the samph fmyivq 5zp4f-1- o+daq9 i;e 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. Ifwek7n 8cafm/dys ,9pv0zso q;, i(z ;b1ch:ce the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) woul0ps vo:; i w(nce,h7z1y,98k/b cqfsz; decmad be

  A ball is thrown at an original speed of 8.0 m/s atztup gnk7e9 48 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 f 4vkniftwsc l()jd7hx7 y8*0eield goal attempt reaches its maximum height, how does its speed compare to its initial speedd k4s jn78h7t xcf0vlwyie( )*?

  A stone is thrown horizontk-f3e l n1h.k0hbuy u4ally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level - k3enh1h.ybfl0uk4u ground below?

  A bullet is fired horizontally, and at the same instant a second bulbv + mpefo/4gpn r y0)fw/-wjx83e fy5let is dropped from the same height. Ignore air resistance. Compare the times of fall ofpvpnfjo4r-w //y my ) e30f5+xg8ebwf the two bullets.

  A plane flying horizontally at a speed of 57.7 m/s and at an elevation of 192 0zdjdq z5v+(s4ud.vw m drops a package. 4.5 seconds later it qudwd+s zzd.(05 vv4jdrops 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 ll3;3 fi -h,mvp 4b 0d*hstcseeater a second package is dropped. Neglecting air resistance, tht 4p,eci;bfles*smh0 vd3 -h 3e distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constantgl kr cd49wrju +7e/u,fn-l/ n speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plar, ll7eg 4kjun/-/+rn duwf c9ne will

  The acceleration of gravity on the Moon is only one-six-bg3:jl13 - pwoplepi th of that on Earth. If yougejb-ip llo: w -3p3p1 hit a baseball on the 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 45,kg mvvxz )e(lis e4mi/h in the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other car )kx5v,(e4zeil4 sgm vis

  You are trying to cross a riveu80 ( khuuyqz4nk(es) r 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 heh ekyu (k(4)u n08zuqsad your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will iti-t)mh: s j:w)8wnx0 /lk ypvf take you to move 12 km downstre-vpitkm)w:0f xsh/ jly:n8) wam, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreslytdz po6wem 8(v9, xgy .-,pes below the +x axis. The y comp xp,dw6v .l(g-symtoz9e py,8 onent of A is

  If a ball is thrown with a velocity of 25 m-dl.sg9b*na i /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 you en ba02+pua9 q;i,h 7iku3hkafwd up 2.0 km north and several kilometers east. Hopi7;9 aaf kk, i+b0hqwauu32hw many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocityy5n0:7wjor nv 7zhv/l is 8.00 m/s. The angle between the direction of its motion and the x axis must 0njhv r:7n7o/lwvy z5 be

  A 400-m tall tower casts a 60rwzi6q:(ihzyvf( s wp:48 u9j0-m long shadow over a level ground. At what angle is the Sun e i(vjz 6 8h:wfr(s9p4u yzqi:wlevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respec q;;hey2suxx1tively. What are the components of the x;uxhs; 2yeq1 sum of these two vectors?

  Two vectors A and B have components (0, 1) a;mbm * bla2nz0hzn5;y8orp y1nd (-1, 3), respectively. What is magnitude of the sum of these twm ;r*bplmy2 zb zn5 y0ha8no;1o vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + pgjry/q ,b.l3B . What is the magnitude of C ?qlb y .gr/jp3,

  A car travels 20 km West, then 20 km South. What is the xgkyd(: z 94 k:)k ,mhi6trpurmagnitude of its displacement?kpz) 4yrri9t :u6 k(dxk:,gmh

  Three vectors, expressed in Cartesian coordinates, s/7ve4yg;h te 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 coordinates, are0:dcaqp8 s 6 dan.xyh0
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 the magnitudechs.6 pbyg u*taoa 1r( 04v:eq of vector C *4ro 0(y6h ausqact1p eb .:gv= A - B ?

  A runner runs halfway around a circular path of rad fqu)twl5h6* 5yuir2 kius 10 m. What is the displakf lhqw*5u6t 2yr)iu5cement of the jogger?

  Two forces are acting on an object as shown in Fig.eiupd+d1 .d z,+ fwu4n below. What is the magnitude of the resultant forced +,u fndiz d.w+eup41?

  Two forces are acting onybft wk-;e 0xm 7z 4t.kl7*yzz an object as shown in Fig. below. What is the direction of the resultl7;*ftw-bm .y0yz zxk 4ekzt7 ant force?

  Vector A is 5.9 cm long and points alonfs, (/7* yicxavx g2meg the positive x axis. Vector B is 7.0 cvs2i maf(ygxex7c/, * m long and points at $+24^{\circ}$ 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 75 cm lopi,bze ,8i*erncfv* ; *ja*bx ng and points at $30^{\circ}$ above the positive x axis. Vector B is 23 cm long
and points along the negative x axis. Vector C is 31 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 z qt x:c,zx/d7*ew h1q;5vfvg(dr ch32gpw x824 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cl7z qe:8gvf , ;cp3 hxxxdc rtwg5/1 qhd2v*w(ziff to the bottom to be 2.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, wit owhed-t -6:eqk6 fcy.h a velocity of 19 m/s, from a bridge. Itw6eq6-k oc:fhyd.te - falls 26 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a 7nhz: h-ceh4u0zx s*s point 21 m above the ground, strikes the ground afteh*xhnzu70 zch4es-s : r traveling horizontally a distance of 24 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spt /+mt4+5fr p kq2 30hqntjq p3a+dvaneed of 12 m/s at an angle ofnp dm3/jh n4a2 ftatqqvrt+kq03+5p+ $20^{\circ}$ 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 9 m/s at anr9zb-y 6mli(q angle of -yblq(i 69zm r$31^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocg: cmad4c :e2lity of 21.7 m/s at an angle of $18.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initiala,dmlwvr9( *j velocity of 36.9 m/s at an angle of $25.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an av-4n. tb o/iv)hfjzy /ngle 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 9uw+j1:z tlmgq /jgel , l.guc)ta5m719.1 $m/s$ from the roof of a building 44.9 $m$ 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 l200i*ixol d4e4o, acjpta k7level with an initial speed of 61.8 m/s at an angle of 4l0 lo, x7c20jdiot iaa k4pe*$43.7^{\circ}$ 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-m race at a velocb dp6+rpg )5ly((bpgg ity 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 to finish would y lpbg6dp)(b5+gr(p gbe

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0mjru.n3w ;oh.0z+yj l m/s to the West. The plane's speed relative to the gnr z j;uyjw.ml+0o3h .round is

  A plane is flying due jr sb6w 7z/lz,i6klnqx8.c)m 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 km/h is he3)6 -tm ckfbasaded $30.0^{\circ}$ 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 wiczt/ l1*a jxs.t 0c-jmth speed 50.0 m/s in a forward directi ac t-j 1x/z.tjsm0lc*on $30.0^{\circ}$ 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 acrnoqfj-:-lcc cqt/ u/.oss a river with a current of 6.0 m/s. What is the speed of the boat-utfjln-:/c/ qcoqc. as it crosses the river?

  The driver of a motorboat tham*/3n nigb4k a*g c6ejb0 m-gvt can move at 13 m/s in still water wishes to travel directly acrognvb kgnci36ge m-0b/4j*ma *ss a river 1.0 km wide in which the current flows at 4.2 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to tr7eqzg7zc2+xeut *t4z avel directly across 7+z7 ctex* ze4zg 2tuqa narrow 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 ag84-a93ei + towrvk2dw wt.ef river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m.3 g.wtk8iew4a rto-w9 f +vd2e How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bank ijtnalmu5eo)* 6jbg 0*n 6 min 40 s. She is swept downstream 480na5j 6b jt)0u* oemgl* m. What is the speed of the current?

  A boat, whose speed in still water is 1.08 m/s, must aim upstream at an:ga zzs(p/ a4m angle of mg:as(z/p 4a z$21.2^{\circ}$ (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)  $m/s$