Which one of the follo l/p rie+vb4naa28ek 1*g,jmq wing is an example of a vector quantity?

  Which of the following operations will not change a vector?/sauja9k; ted1e8fo2

  Which of the following is an accuroyc;/b ma jait5d83a ;ate statement?

  The resultant of two vectors(vk(:yr -9pze: 8(j c0qrtuvytz9gj f is the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. Whae( ,ufs wa2g/en these two vectors are added, the ma/we2 a fgu,(asgnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. gqr; 6* t/dpcu Which one of the following is a possible answer 6qct gru* /;pdfor the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in dnof0 ikw g2(gos4:2sqirections that ar: g w4fs0q2s(ion kgo2e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown hx 2s/a-( lvdtvector is

  Ignoring air resistance, the horizontal component of a projec9n9 ue2-fzdfc ; .6 /rjnxnxbztile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 74;mr uejbsdno;3 b0n /h m7 p10gqdpf60e above the horizontal. What is the horizontal component of its instantaneous velocity at th;n3ub rdedm4;b0 qjph g po7n1s70m /fe exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's acceleog t,m+n;xu2s i nj sc55vj0*y-;frb wrations-j5nic f;xg nyo w rumv*;+sj02t,5b

  A soccer ball is kicked with a velocity of 0yv3 w 5db mg(2q(gbxt1fbl(t25 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 anti-parallel to the velocith tq: ,b5h0ctt:,50 bqth tchty vector,

  If the acceleration of an object is always dir42lo 4:lhpq z(zh2wcrected perpendicular to its velocityrq z4(zl2po cw4h :2lh,

  At what angle should a water-gun be aim)c e sl;f9clju(zi-:gb njpw 5,:hyq*ed in order for the water to land with the (qipc:n: le )yg c- ,fu9jz*wb5sljh;greatest horizontal range?

  An Olympic athlete thb xa9f*f- 1 ;9,6lk)l bab;hgswyjayvrows a javelin at four different angles above the horizontal, each with the same speed: wvaf-9ayy)bb,;l1g;l ksb96* xfhaj$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second time. If the ball leaves youb d;tjx0.h0kqr hand with twice the velocity it had on your first throw, its horizontal range R (compared to your fih kx;0q0.jtbdrst serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle o(9-dwy tzt3rqg/ry. af $35^{\circ}$ 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 attgahbj9bk /u/3s1q 7o hempt reaches its maximum height, how does its speed couh/ o9bb / 7jg1qka3hsmpare to its initial speed?

  A stone is thrown horizontally fromhyr78: :elhha the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ground byhera::7h8h lelow?

  A bullet is fired horizontally, and at the same instant a sbh1vjm3rt f 9;econd bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the twvtb;3hfm r1j9 o bullets.

  A plane flying horizontally at a speed of 5.n6 bm5rlq p*p0.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages lal6n*5q mpp.rbnd on the ground?

  A package of supplies is dropped fl 2sje8:aqn; 1hr*ax2ms ;ug wrom a plane, and one second later a second package is dropped. Neglesug:mh2 ; e1rq8l*;ax2sn waj cting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane f 2dqycz;bfa :65w0:ree cxh 9alying horizontally at a constant speed. Neglecting air cexbd9h6a cqy:ra2z; 5:wfe0resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only o-* q yftr7*lz-hpj j,ane-sixth of that on Earth. If you hit a baseball on thepz h- t7jj f,*-lqrya* 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 mi/h in the +cta.+i eloam;xx; j(v e j6+3fi1;btix axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity x aj6x+1oct imv+e.l fj(iae;ib ;3t ;of your car to the other car is

  You are trying to cross a river that flouf8qi gjya,dhp-v947 ws due south with a strong current. You start out in your motorboat on the east bank desiring to f q,u9ap8 yi- h47jdgvreach 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 time will it tanka80ohl1m 0o/fkuxp3+1fig ke yol0xan11g hk 3fk 8 ifup0om+/ou to move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle o. zomrhy v bo6hpa0*3n)av/,zf 30 degrees below the +x axis. The y compooyhvo0 /za *v3r bn.mz)p, 6ahnent of A is

  If a ball is thrown with a velocity of 25 m/s at an angqw3 a +nfol9wl071*zb4fp h akm8kvc4le 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 a2nxg b*s:(lrr nd you end up 2.0 km north and several kilometers east. How many degrees x2 l*gnbrr s:(north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its ve kzfua a r/779jw4s9wdlocity is 8.00 m/s. The angle between the direction of its motion and the x 79wd4kw7auar j/f s9z axis must be

  A 400-m tall tower casts a 600-m long shadow over a leq wffkxi- 66xw3dtj9+ vel ground. At what angle is 6 wi6ff +dqwxx3jkt9-the Sun elevated above the horizon?

  Two vectors A and B have components (0, rb-c* w a-g4ke1) and (-1, 3), respectively. What are the components of thk be-g4-cr *wae sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively.fpn.e -j4n+ if/dabyz n09( jz What is magnitudeyz9b e/4a .z jdip+njfnn(f-0 of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What3wm:27ymn bf 9z6kx 1-bksbiv is the magnitud2b7imfk6x9 ywsm zvk1b bn:3- e of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its10yc6 i+orv ud displac 0dvor6uy+i 1cement?

  Three vectors, expressed in Cartesian xbckw5bj1o oqvg 47zgv 0f3-0coordinates, 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, exprestd; vz;y(s(v x ,if-+h)(hjtr1gliuased in 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, -80se;3-klun p 0o,qhlu .0), what is the magnitude of vector C = A -;nkp-ls0qeuo l3 hu0, B ?

  A runner runs halfway around a cr1.nw 6-x6 p e:h fdn80jq );wsoixeodircular path of radius 10 m. What is the displacement of thew1r .)o-wh8p6qnoj0 6ixen :dx ;sedf jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What i6ivy,t9n9.nadubg1xg+ f k9 zs the magnitude of vb+dgf6u9g9at nk,yn x.iz91 the resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the directiongw- ldc;m2ag(p+ 4qim of +i m d4gc2g(palmq;-wthe resultant force?

Vector A is 5.5 cm long and points al pp6 ub/kpyl:n7vbo)4 ong the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axis.yp p7 bo4):bupknv /l6
(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 poioq 2kzy1q.kw 11mq( afnts 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 ,9ucek hby,t 6gfh. 8wu6f/ph of 10 m/s from the edge of a cliff. A stop watch measurecff ,hp 8 ,bh uyg6/.wu6etk9hs the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, from a ,g3x,uwx j9.f+hwio nbridge. It falls 20 m to the water below. How far does the rock travel horizontally before striking the water?u+j ,iwnxxoh 9w .f3g,

  A ball thrown horizontally from a point 24 m above the ground, strikes the0u; 7jgtt7znfcwqud /+n/ j4 haexk:+ ground aftef /nuetgw t4kdu70h qn /x7j:zj+ca +;r traveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jumk *+ag o9clh2hpfa t36l9/,6g ox2xzx a4qzxap with a speed of 12 m/s at an angle gf o xta266xa4c9, +a ozl9l2zpxqx/3h *hakgof $20^{\circ}$ 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 ofjnku lsp-2vz3 x8t ssc)8ktsh(:s v; , 12 m/s at an angle of2vz sj-p8k(tsusl ntsx;8,h)c3 :vk s $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at afnhu5zns 8m.-vi;+n on angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launchedq*5rg5ia68t gzrk 5 cd with an initial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired a dbax:18i2hn*cujr4g t 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 23.4 m/s from the roof of a building 5n 2 -i6xms+n)8cosljk 5.0 m ta)2-sl xoj+km n6s8 nicll.
(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 anoqz9 3rf za* aiw-;v)tu.0gs oqdzb0( az z0 3)*ta.fgq9oqr;ias0-( ouz b wvdngle 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 v kdv2*tgj/mue hxz/ dgs3(( 6melocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwi2tzj*dmkx(/vs (m h 6dgg/eu3nd 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 in a wind of 50.0 mztq yk,kj200ky ),tosr.e b1c u5l ch:/s to the West. The plane's speed :tur2k szk co0te.)kj c1,y y,bh05lqrelative to the ground is

  A plane is flying due South qr3 cf/10-h v+8zg)syku clej ($270^{\circ}$) 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;- royzvd piaf7 g24r* 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 j5yr*xix46w*r h3o kpa projectile with speed 50.0 m/s in a for6 3o4jy wp5x**hxr kirward 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 au2zc.4naf 6we river with a current of 6.cz f2a 6e.wnu40 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in sti7hb6gwy4vm cwv :ms82ll 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 w 7cb v2ymw:84mhgv6s river?

  The driver of a motorboat that ;ywyz*w9zh0r3p 67nn 5v sunjcan 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;y *up0z3n 7s6nj5ywrnz 9 hvw the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite bank ihx.smzl v)5/fzfc ) wy t:kb0ue/ .j.mn 6 min 40 ) zmxtlvkj.0s)ecfh/:mbw5 fy./uz. s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly acros6/m jz nq:)q3bpdgfa/s a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the /m:z)/j qnp6b gfq3adspeed of the current?

A boat, whose speed in still wates h t*uz) 44tb+y1pqd,dn0hzbr is 1.75 m/s, must aim upstream at an angle of qn4h *0 b+pyzsdu, b)1z thd4t$26.3^{\circ}$ (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.