Which one of the following is an example of a vector quo+rg wf .0dphh29vn4hantity?

  Which of the following operations will not uwsugjn*880y change a vector?

  Which of the following is an acc6aigba:) rc e2ro ij: +y*qhrzyc3-s :urate statement?

  The resultant of two vectors is the smallest when4emqq 8sa vdx5:(0abme*qg d0 the angle between them is

  Two displacement vectors havha -e sgx;33gydclo. 0e magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the mag; . ahs0x 3lg3yo-ecdgnitude of the sum

  Two vectors, of magnit;hu-w 2 itmh;nudes 20 and 50, are added. Which one of the following is a possible answer for the magnitun ;2 hi;uhwmt-de of the resultant?

  Three forces, each having a magnitude of 30 N, pull on ; 8,bc uu3afcqan object in directions that c,qcuau;8 f3b are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecto2ki1.jq5a s byr is

  Ignoring air resistance, the horizontal component of a proje5j,b do+th2z*rn o7s uctile's velocity

  A ball is thrown with a velocity of 20 m/s a pq 7j/8qa.tzi2ee2r -sfua2st an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the e ji/2 z28uqaqep.7-at2fesr s xact top of its trajectory?

  Ignoring air resistance, the horizontal co+2+v dy ist78*cpnxcchc4xi+mponent of a projectile's acceleration i ivhcd+2n8y+ spxx*cc+c 47t

  A soccer ball is kicked with a velocity of 25 m/s at an a8nqpwcs;. qrxy7t6n,ngle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vectoxy1dw sxdnu-)v7uy li 2fvp ,u45-wrr,*gjv8r of an object is directed anti-parallel to the velocity vectoug i2w ,v- pvnl vf4-5u)dsdrr,8*xjyxyw17ur,

  If the acceleration of an object is always directed perpendicular to its velojk /gx:hje2tf j-1f )l *ajx.qcitx-xjqg :et.1jh)/j f2* lja kfy,

  At what angle should a water-00f9f xd kwt )v(b9i0 hsnh1lgeu0hgtm5 + n*egun be aimed in order for the water to land with the greateunml+ 9ehgdhig)nt 0v5 e fh900(sw*1b xkft0st horizontal range?

  An Olympic athlete throws a javelin at four different angln3s*eu 4;fe a1fs8 5b, mldv o(.mktcres above the horizontal, each with the same speed: sb, 1mtmk v.ffceedu34o ;r *8l (s5na$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 nyn/*zq9d3/hl:qmuvq.,z +tab n-v eyour hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) woun+q 9.m/a 3/ynzq nt -:ve,l*ud qbvhzld be

  A ball is thrown at an original speed of 8.0 m/s at an u95hv7hfd vfg,orn* 62lpfu6 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 gdd1,,bn og5t*pnz,c5pdbp+ g6.0 n gr1gl s uvoal attempt reaches its maximum height, how does its speed compare to its initial ,g5,*ut lvg n0o6d1 s+gbd.pn n5p zdr1cbgp,speed?

  A stone is thrown horizontally from the top of a tower at the same instant jtc)x)mt :,sia ball is dropped vertii )ctxjts) :,mcally. Which object is traveling faster when it hits the level ground below?

  A bullet is fired hor; 8foj)c *vrddizontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two ;*d)8rd fc vjobullets.

  A plane flying horizontall 9+gg9-,rdwrg6r pwsqy at a speed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later ird9-q, g g6grpw9w+ srt drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped n 2ks ugz y-*)84vn (bfnkjfy3from a plane, and one second later a second package is dropped. Neglectinku)sf 2jkn-3b8zy *n(4 vf gyng air resistance, the distance between the falling packages will

  A pilot drops a bomb from f7w 97gllrn.6fqj 3sq a plane flying horizontally at a constant speed. Neglecwl7 gjfql 6frqsn7 .93ting air resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gra fy9kxn4 9v g8;djj;/mn.*x iikj/d bgvity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effny;ixgk8ijg.bfxvj j /k99dn ;d*/m 4 ort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level *(8d vdjk6*her (/ha5y eipmfroad and pass a car traveling at 45 mi/h. The relative velocity of your car to (hfjydak*d hv *e6i(5r/ep m 8the other car is

  You are trying to cross a river that flows due south with a stron(g g)bkw * 9jl/-kadbog 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 head your m (9jgwg)/-dlokkbb*a otorboat

  Your motorboat can move at 30 km/h in still water. 2cjx 9ba6ka10, :rjm 5yendkp How much time will it take you to2j xyak01rdme 5,j9nkpa6b :c move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degr.nm;(sig 3xzo lcv( y.wpak;4ees below the +x axis. The y component of p.n;3waskl 4 cvmxogy(;(z .iA is

  If a ball is thrown with a velocity of 25 m/s at an angfz7wf2* tdyq zz5z: 3h-lt; ople 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 andgqm()w s3obh9 you end up 2.0 km north and several kil3ows(m bgq)9 hometers east. How many degrees north of east have you walked?

  A butterfly moves with a sp *l 2il/cpp u1,sy6 j(xqszcw/eed of 12.0 m/s. The x component of its velocity is 8.00 mcywsxlic1/p(* 26z,u/js qlp /s. The angle between the direction of its motion and the x axis must be

  A 400-m tall tower castxah:c2 i4zp8js a 600-m long shadow over a level ground. At what angle is the Shx4j8:2 aicpz un elevated above the horizon?

  Two vectors A and B have components (0, 1) and (- p(rumtsp73u dao- 2w7ja(pe* 1, 3), respectively. What are the components 2 op (77pajaup*-e mut w(3srdof the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), res 8zlp0juii w yrfu2 q7ov4:,l*pectively. What is magnitude of the sum of these two ve8 fj o0,y4rqi7ilpwz:2 uuvl*ctors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the my9i l9,bypuq :agnitude of 9 qyylpi:u, b9C ?

  A car travels 20 km West, y.hs:2a o l9yuthen 20 km South. What is the magnitude of its displauohsyayl .29: cement?

  Three vectors, expressed iseway;q,z*+ pn 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 Cartepae 00o *nlby/sian 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,+ecpc-b hw6ipt /jfvt-j2 6 u: -4.0) and vector B = (+3.0, -8.0), what is the magnitude of wcbcvije/6 p6tf- :-+pu jth2vector C = A - B ?

  A runner runs halfway around a circulara g9wong(2 v8f path of radius 10 m. What is the displacement of thwg nfao(928 vge jogger?

  Two forces are acting on an object as shown in qv67 5f*nstmb x9ulf8kt7o 4 ;.iysix Fig. 3-1. What is the magnitude of the tk9u 4sn7 f5.lii 7 vx8fmo*;6bqxtsy resultant force?

  Two forces are acting on an object as shown in Fig. kmtt,9zjxr ,hiwf2doz6 / pk1:om40i3-1. What is the direction of the,t:wixkt i40m oj92hdor,6pfmkz z 1 / resultant force?

Vector A is 5.5 cm long and points along the x-qc. bucbow1* axis. Vector B is 7.5 cm long and points at +30e to the1qbw u. -ocbc* 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 pidkue7n0ey 0( oints 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 spcjopt m-e4d.. eed of 10 m/s from the edge of a .pjmtod .c- 4ecliff. 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 the height of the cliff?

  A girl throws a rock horizontally, with a veloc/v n.ukw(.v qsity of 10 m/s, from a bridge. It falls 20 m to tquv.nkv (s w/.he water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a pointjjs :y+thw+ 2s 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speedj:t+sh+ y2 wsj was it thrown?

  A jumper in the long-jump goes rq5b; )1 z/qpicl*zbu1b(r8vp b. ezfinto the jump with a speed of 12 m/s at an angle oz5vrep;1 ub i1f*pcl./zz b)bqr(q b 8f $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes intw*7oy,m8 qxu:-6 wefnnm q jp1o the jump with a speed of 12 m/s at an angle ouxj7qqo pne *fw :w-86 nm1,myf $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an an6 dd 2-cnql nxg1m17imgle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an7zbwoubqn3 oo-:z6l9 ).qoj s 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 at pg9t7db+djbdt6 2 z8+a b ,/lfntt:fnan 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 horiznhwuws 16bu9 2)848lvh lr jasontally at 23.4 m/s from the roof of a building 55.0 m talls 8hu ll68awvh9u)br12sw n 4j.
(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 initinvkerspe5):6c0yhl+ fmh l ( *al speed of 55.6 m/s at an angle ofe):*vnhsy(crf p56ml h0+kl e $41.2^{\circ}$ 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 veloc ( y4pl6xvo;tgity 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 take4(6o y ;lgxpvt you to finish would be

  A plane has an air speed of 200 m/s due North, and iswmsb 6v/ts; vis*;k 0n in a wind of 50.0 m/s to the West. The plane's speed relative to the grous n mb 6;w0/t*;kvisvsnd is

  A plane is flying due Sbbvbufh;k+d nx / f ;j)m83vih z,ro27outh ($270^{\circ}$) 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 headed hfb5 yvo3cy-h9 5 is(a$30.0^{\circ}$ 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 spe-*j mbg9pc7 uued 50.0 m/b9 p* 7mu-gcjus in 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 st2m uc,np, b) *nj2won8mpvg4dill water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it cron2mwj,gn,p* )2 pom8 du4 vnbcsses the river?

  The driver of a motorboat-yh qj)odv;3.5ga ej l that can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. Hh)3 j vg5o-qlyeja;d.ow long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes ./n/birquz 3tto travel directly across a narrbnrt/u3 izq/. ow 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 the oppositt 4fad3l zz ,n(ax1;qpe bank in 6 min 40 s. Szf,a31(l d 4ntxqz ap;he is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading direc el2n r 6-3rv d141yz2uksrcidtly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the spe i vcr62d21 4z-rl1rkuysn3d eed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upsthv a9n0hg ;q+bream at an angle of h+0ghv9;nq ab$26.3^{\circ}$ (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.