Which one of the following is an example of a vector quyi4(vkhf-i0: 1o+q1ahxd/lc/*nhl-kogat b antity?

  Which of the following operations will not cht r7x b7p0niz.ange a vector?

  Which of the following is an accurat6w92bvor fx6oe statement?

  The resultant of two vectors is the smallest when the angle between th+ysgr 41nca69v kf4 leem is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. W 4n hrxv;n-7erj ro40lhen these two vectorsrnoj4 n r- h;erlx74v0 are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. 75h6p0vnn5dr; iwtuq Which one of the following is a possible answer for the magnitudq 7n 0uwvh56d 5tn;irpe of the resultant?

  Three forces, each having a magnitude of 30e lm5 xhsa7 ioszx9(da1e+xk1 ls:m44; 9fs yw N, pull on an object in directions thaa xhofed e1x i1(mlyxsm97k+ss4: wzs45a9l ; t are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, tha 81b-x/nhw wve unknown vector is

  Ignoring air resistancenmmgygn + :o8a:d+4bc 0llr km*0;rp6 hidg a5, the horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at .ghtq*q8*y ws an angle of 60e above the horizontal. What is the horizonyq.8gw*hts q* tal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal compon .:roe:lrzx vhmnko 85xk je25 ),0mzxent of a projectile's accelerationko :ok,zrmx)2:v 8xxl55.mjh 0rzn ee

  A soccer ball is kicked with a veloci+ p1wl*xkdm* cty 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 is directed eft lw)tbay1f3 0g:3vj0a xs/5fip / zanti-parallel to the velocit3f:tffgyw35ap/ei)v/al xbt0 s0 zj1y vector,

  If the acceleration of an object is always dirn5xv*l8(x dw n0j6 p7 )kzd* 8syhlcahected perpendicular to its velocitnx8*( 58s)d7p hwxn zhakl lyd6j0vc*y,

  At what angle should a water-gun be aimed in order for the water 4(fap4y 2ebb m y /;qaxdf,e+tq9l/qgto land with the greatee (ltf 4fa/y2d e4+a m,g;x9/ qbqpyqbst horizontal range?

  An Olympic athlete throws a javelin at four different anglesah7l1 76b r 6db;wk5psqw 2;jpjjwq z- above the horizontal, each wijp6hq wr 1qsa 77;w;dkj jz6w-pl2b5b th 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 time 3m,wrq ++laprhus 6eqk81 ( pe (x5.copexu8d. If the ball leaves your hand with twice the velocity it had on your first throw, its horiep+ kdr38ul (xseau (ppm65r c+ew1oqhx, q8.zontal range R (compared to your first serve) would be

  A ball is thrown at an original speed o nnsrywj0p;c8t -5eb6 f 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 a field goal attempt reache 8iozgl )97f:rspywx; s its maximum height, how does its speed compare to its initial speed);lgo7 xf89zi y:swrp?

  A stone is thrown horizontally from the top oz 7 tijt*(f k2xj)ie 23nh8aelf a tower at the same instant a ball is dropped vertically. Which o (jf3a 7lit)j2n2xz ht*kee8i bject is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, andflf 4j bczr(l -ed/is3m , 6fjo*h-2r0yu d:bd at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times 6 ifdl24u,br-z le:f s 30jhryo-bjm c/dd *(fof fall of the two bullets.

  A plane flying horizontally at a srmc j7zr1lmta1yd (859 sdd)kpeed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds la98s1artc d7d(myljz5) mk d1rter it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plan xvsd fd1ohi0i 0ow*kb +j-q27e, and one second later a second package is dropped. Neglecting air resistancedw+ooj0s *7 vxi2fdh 1 b-qik0, the distance between the falling packages will

  A pilot drops a bomb fo gr+qh:6-k f;lstt ht6.d9ojw0q8m from a plane flying horizontally at a constant speed. Neglecting air resistance, when thqt: ot68to.6fq+wlh 9rf0s; j-gkdmhe bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity oo( q*pf: oyo ,p*l75dtv2gamh n the 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 ang ov d2pptyf,* (o:mq*5aol7h gle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +xc2(;zn ,7 7f3fecmaul 6k zsuw9 vtvcb1,k:zp 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 cc6(7v 7lsftz:k,w;3 a p9u umzkn1bfz vc2, ecar is

  You are trying to cross a river that flows due south wit9 e /fxr f;p-4q8 o9wauxxxb;gh a strong current. You start out in your motorboat on the east bank desiring to reach the west bapx; /ewx4g bff9qx;a9u8 x r-onk directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still t au ++sewr5d0water. How much time will it take you to move 12 km downstream, in a +5e+usw0rd atriver flowing at 6.0 km/h?

  Vector A has magnitud p/bmw6b2oso33 ,zdp6avi0y se 8.0 m at an angle of 30 degrees below the +x axis. The y compopv0md iba/3soz 236wp6ys,b onent of A is

  If a ball is thrown with a velocity of 25 m/s at an a+*ob:we m rm3bngle 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 anziv-) 3;glcw.w1 dc rqd you end up 2.0 km north and several kilometer 31-i; wvzrg.ccdw)l qs east. How many degrees north of east have you walked?

  A butterfly moves with a speedl,6qnkmbu +oph051xx6qf 8yvm:lma ( of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion anl 8muf, (6a01mlp6:+xqxvqbm nh5oky d the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At w7 , r)o11 o*iybsuilwshat angle usio 7osw)11ybl, ir*is the Sun elevated above the horizon?

  Two vectors A and B ha2 yl- hhn1tq7nve components (0, 1) and (-1, 3), respectively. What are the c q1l- nn2htyh7omponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-l wn :o9se saq u,opfv;2n1,v91, 3), respectively. What is magnitude of the sumv, vloo,n1ew9f 29 asnuspq ;: of these two vectors?

  Vector A = (1, 3). Vector B = xtpt,//nv xa-(3, 0). Vector C = A + B . What is the magnitude of C ?xv xpta//-t,n

  A car travels 20 km West, then 20 km South ka; hlx*goh.e(z,.m v. What is the magnitude of its displaceme .zhav (ok, e*;mxglh.nt?

  Three vectors, expressed in Cartesian c7- k4h2rcr hvwj6f io2oordinates, 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 ;g9p 0mydhdm m(z.ne8ka8x. bwe4 o; fCartesian 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 = (+3vja1kx 8-7km r.0, -8.0), what is the magnitude of vector C = Akjrkv7x1m8 a- - B ?

  A runner runs halfway around a circular path of radius 10 m. What esvtx,bi,2x x (5/qpuis the displacement of the eivbx2u t,q,/ xsx (5pjogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnitul-li2 , jwel 3vl-qpo4tu aon/)mt:7c de of the resaj l2-t-q ocl,u3wnop 7tl vm4el):i/ultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the dirdlt s zbe q)83z9+p9rnection of trzt 9npl3bd+s z89) qehe resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.1 hg7gvd loa.q:qt*7v 5 cm long and polqog .d*1gv hv77q :taints at +30e to the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm long and poir v b awzvr(k83:.0yqants at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown horizontally with an initial speed g.n*i 3i2 hl9m1g/x-nrtshga of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is hngi 1ihr2 3gx9gn*ls/a-tm .the height of the cliff?

  A girl throws a rock horizontally4 )qi uro 1u78zobhq*d nv-1wf, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does thq 1 on dhz1rq*f -8u)o7buwiv4e rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24lyl :+;b(s-;gwe vy2m c:)qmhdzl u r5 m above the ground, strikes the ground after traveling horizontally a distance of zlq l y hw- s:)5;:;lu2mymcge(dr+bv18 m. With what speed was it thrown?

  A jumper in the long-jump u4 )osb+owbx+ goes into the jump with a speed of 12 m/s at an angle of ) 4bs+wubx+ oo$20^{\circ}$ 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 12 m/s at ak/n)qrx fb mi bi5xuvn)2w+ x4*:, pkyn angle 5qn+vk bfyrxm:,)4* u kwin2 pb)xi/xof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s/ ghr f6)y6q;r ybc9gq at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s avmk4 t:wru 72wsfm,wkz8( /qst an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an yzk6mx.m *ze .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 horizontallyv7nrm)dst uou9:p9mir .gm /0m 6sc+y at 23.4 m/s from the roof of a building 55.0 m tall mngsrci.0p o 9u7 d:v9us/m+ym6rm)t.
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground level with an initial speed of 55.6 m/s at anmd b+fej aw(c( g57vn-w:fy-r angl7 (wwjb+nm (f ev-:-5fa gdyrce of $41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500-m race at a e. *c qi+ht0xssgpjiii57h) j:e .mpk( e vo-2velocity 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 wouldmhev7+ 5e 0gxijicqk-o p ej*tph . )2:is(.is be

  A plane has an air spezmj p; 63vwjjm lchn)fq6*34i jl-/pmed of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relatq nimj hfmpjjl4mwp);z 3/*v-j l3c66ive to the ground is

  A plane is flying due Soutv,*9)hbxqog bwlp2 g, h ($270^{\circ}$) 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 heh uub ue xy*mk5:.qy 4(51)o/xn vaxriaded $30.0^{\circ}$ 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 gw5 t:ztw4 (jo200 m/s horizontally fires a projectile with speed 50.0 m/s in a forward directionttj45ow:wz(g $30.0^{\circ}$ 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 di7js/ qg-tb3i il/abx/rected across a river with a current of 6.0 m/s. What is the spb tb -x7sqj iil//g/3aeed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still7 cbc 6vf+qr b-,xugvz33.s) +nocgmn water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cross the rivncb cn)- r gvvb q6m3+sg+f zo3u.,x7cer?

  The driver of a motorboat that can move at 1)kttreqd;++ k,f xxd 00 m/s in still water wishes to travel directly across a narr kd+e +x;t0txr ,d)qfkow 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 a river 200 m wide reaches :-ptpsu8,l ; 5 ,f3zdg4mvdsd gk9 wwlthe opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still wkssw gpd3zl4t,um :wd,pl 859d;fv-gater?

  A swimmer heading directly across a r7wzs t :jzb05-chi/ x9qqpl0qiver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the cp-si7lbjz q w50zhq0q :x 9/tcurrent?

A boat, whose speed in still water is 1.75 m/s, prx )q+c/z l im,c ek--p3nh1uj;9ux l1rq fd/must aim upstream at an angle ofi/xxmhqf cr pkz/c1nr- l1)9qj3+du p-;,leu $26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.