Which one of the following is an example of a vecteg3z1tlst:lt . 0ndf5 or quantity?

  Which of the following operati c7ohmcxbhjl.l7,xft *;h ixw(a .. /cons will not change a vector?

  Which of the following-1a4h+bsac m q is an accurate statement?

  The resultant of two vectors is the smallest when the angle between them )tylj +1uu+rr( :sk apis

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respecswbxcz +yu +b,t-+ +/n6 mnnlktively. When these two vectors are added, the magnitudexzn sunk l -nb++6 +,ct/+wmyb of the sum

  Two vectors, of magniz/.y63,art0 .k2 qfs(h q clyhg-f gvytudes 20 and 50, are added. Which one of the following is a possible answer for the magnitudegtsq.h c0ag y2y fvq/6,yzhf.3 (r-k l of the resultant?

  Three forces, each havingv*c(qcy5skj(h; ozxlw.(f q(m ;0vz t a magnitude of 30 N, pull on an object in directions that av ((h wqs;xcm((k ;.voz0*z cyqtj5 flre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknownmq*zwoj uf a.+rw e,07 vector is

  Ignoring air resistance, the hm.;h3v 1 fiwhforizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s f9-lq rngo( 9fat an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trarf- 9lfgn 9(oqjectory?

  Ignoring air resistance, the horizo:zi +3;erh omo4l1t8bef jo)5 +w/zix3tfpt kntal component of a projectile's accelerationhb+:ltiztrpt/+ow 83 f 4oiefj;xe 5z)1o3mk

  A soccer ball is kicke3g dq+h(hm(b qd with a velocity 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 anti-parallel to th wphfgdt s */w2wm+6p1q re74e5z(zfme velocity vector1qfmz5ft(/msw wh27we 4 6 + eg*pdrpz,

  If the acceleration oul)( 4z7,ib ee/qu c*kfzj7ypf an object is always directed perpendicular to its velocity,e7(7y jp /uquz 4ecflkb),*i z

  At what angle should e/r a b;;jp8y2wb)wzoa water-gun be aimed in order for the water to land with the greatest horizonwayob;z)p /rj; e2w 8btal range?

  An Olympic athlete throws a jx;w q8bzj;x p n*12mlzavelin at four different angles above the horizontal, each with the same spbq8*xjn;z 1mxlw; 2zpeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 3 go6;ziekd0jct n )9rball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your firsiner9gk j0 ;oc) zd63tt serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle of3uu7h*q+c:x c 2pvx um $35^{\circ}$ 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 does itsm9sfigt tgw6p;)12/i ir 7y am speed compare to its initial spe7ig;)/2m6 pri im asftt1g y9wed?

  A stone is thrown horizontally from the top ofpnhy+2nr; vkmt0a5 u. a tower at the same instant a ball is dropped vertically. Which object is traveli.+ 5nkn vayrp t;uh02mng faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bu 2s77tsza:jyomt i1,qllet is dropped from the same height. Ignore air resistans21 sot tz,7iy:7 jmqace. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 1g(4/5qkkj* 2oimoc cgv-w :ww60 m drops a package. Two seconds late2v5 c(qg c-w wog/:kkw4m j*ior it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies*sr nzi+ds):g is dropped from a plane, and one second later a second package is dropped. Neglecting air resists)ngiz: * +srdance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Nego; 2 jj3anr*ynlecting air resistance, when the bomb hits the ground the horizontal location of the plane wir*jy on2n 3;jall

  The acceleration of gravity on the Moon is only one-sixth of that on Ear/bvmxd)wc5im cgd3un g++: yi:1,bd hth. If you hit a baseball on the Moon with the same effort (and atdx+5cv+gm :1 )gd/why b3nm iibdcu,: the speed and angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in xsn t9z(8c ds w hur*ma(m9r+y*t/xd7the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The zr+sac*ht*9nr m(yst u/8 (w7 d xx9dmrelative velocity of your car to the other car is

  You are trying to cross a riv mbhahc u+;o0plr8uo5 7cuw .,er that flows due south with a strong current. You start out in your motorboat on the east bank desiring l.75uo;phm0,+8ch or ucwau b to reach 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 wi;8r9n4qngkdjk;u6nj0v.x3 7c edr kfll it take you to move 12 km downstream, in a river flowingjk df;q;7ejnrx0vk.8gn64 un rc3k d9 at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The auh:+6olasaitj -*x 4l d rz)2y component of l2tdia-a) h +: l*as46ojrzux A is

  If a ball is thrown with a vhujvx l:q -7e0elocity 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 j8(b8 96bn2jd ihvsxy -mh /u o).xaaqeast and you end up 2.0 km north and several kilometers east. Hxx8/s.jonv96 -yajubmai q2h)h(8dbow many degrees north of east have you walked?

  A butterfly moves with qq6 uv3l/ yhi.a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The al3hqq/6uy.v ingle 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 whacg,3hg)qid / zt angle is the Sun elevated /,) g3hcd igqzabove the horizon?

  Two vectors A and B have componenav 5m4 dd-3wpl: dz cf45x4hents (0, 1) and (-1, 3), respectively. What are the components of the sum:45nhz3m vfd le 5a-x44 pdcdw of these two vectors?

  Two vectors A and B have component)b3ov6z fkus: m (9)heefi9y7e rog0rs (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these yr9z )biuef : roovhg s f6e0)k3me(79two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the mab ,ujk1 xrpl-9gnitudr1-,9 bxjukple of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displagpt99, ux5 xhet:9ner9 hex urpx 9n9,e:tg5tcement?

  Three vectors, expressed in Ca8mm k kalpi)ij 7*y+eu3c8jz (cvvh+/rtesian 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 C bcqd ei12fv5;artesian 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), what is the magnfr68yn cyoluc)vgv s;m.y7,/ itude of veog r8;y.yn, fcy/v7 mc) 6vsluctor C = A - B ?

  A runner runs halfway around a circular path of radius hapti5 hi;scv0r-8s2 10 m. What is the displacp-ivt8hs2;0h r ac i5sement of the jogger?

  Two forces are acting on an object as shown in Fnlwol:+ tfxxj;9)h a(h/s.fqncc / c4,(buy fig. 3-1. What is the magnitude of the resultant forblfl, fx9ccnx+;s( a4q )y.ohjnt c/f u/w:(hce?

  Two forces are acting on an obd/ff8w/)ebs ka fwtm13k: 1a dh;ioz0ject as shown in Fig. 3-1. What is the direction of fh ;kez1)bkwmdd:i/ot8w3faa f/0 1 s the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B ejc r/hb;nccz+r2t16 is 7.5 cm long and points at +30e t6 zrh 1;ejbtc2c+/ ncro 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 lon39q-gouc 8 rxfwnp t;9g and points 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 init)dqomk wu v7 s3::uff3ial speed 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 tum3q7w d:vfsf uk:)o3 o 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 mj yen6 ft)10eb/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before striktb0 1feyj ne)6ing the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes t+yk kf d .(qj(ul4ky5.:nkvzmhe ground after traveling horizonv.lkdnk(f:k(k mu yyj. 5+z 4qtally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes7uuzrwe0 hn+w:dc ;x . into the jump with a speed of 12 m/s at an angle w+w:cxd0 r7 zn.heuu ;of $20^{\circ}$ 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-k8bgfgtgbj5 0utj 80 kt3/ce an angle 8 0 5 t-j0utbggge ktk8/jfc3bof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with y ;qdb3a f ;18doy tfj 1;pmi07fo*bpuan initial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity (f4d3 kv1ld.18cu1niqxg mbqof 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 an an iv-7:zoj1m2;nb: l krne pez:gle 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 23.40kvf*2zwuc no8 x.)h g m/s from the roof of a building 55.0 mhw.gc 0)*z 82knfxo uv tall.
(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 anwvr/.m/h s v1b)d0 ceq angle q /evrdh.cm0v1 w )bs/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 wibfs17 ztwxq xmx,b: ekez)i1 xd ;).n/nd), you can run a 1500-m race at a velocity 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 t1/xszx,) tx7zq1;nwbe. )bxifm :kd eake you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a winw 4gt6ggi9n)vd of 50.0 m/s to the West. The plane's speed relative g )ng 4gtw96ivto the ground is

  A plane is flying due z.8s 2 8/uian )hcm/ivk8smax 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 headed teao 9fz1ct(g7) 3sgr $30.0^{\circ}$ 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 firesvtc m4hq d5 ,bt whgw6(j(1i w1kk)d1x a projectile with speed 50.0 m/s in a )cd6qw1gxwjm 5 t( b4kit1,(1khw dhv 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 still water is 8.0 m/s, is directed across a river wxtuz ,pan /ph9k4o4;n ith a current of 6.0 m/s. What is the speed au;9pp ntx4h,/ 4on kzof the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still waterls9 f,:u667 vi1giihr0qmsay wishes to travel directly across a river 1.6 km wide in which t ,m0vfag16y iurs 6l9: h7iiqshe current flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move gzy,s2 (m-dj 5yhe:dp- c6c 2bull7 yyat 10 m/s in still water wishes to travel directly across a narrow strait in which th6-jl7d2bzygm,y (s- lye2y h:u 5c pdce current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly ac 1dmdmc8x cc08ross a river 200 m wide reaches the opposite bank in 6 midxm1mccc088 dn 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposity9 gcmx+jq2n*x: p1 do7csu:te bank in 6 min 40 s. She is swept downstrms n 1qc*cotdxx :p 7j:y9gu+2eam 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75lsuql jws5v0u4 c7ehsu-k,-. m/s, must aim upstream at an angle of s v7ul-5sjkw,4 uls.chqe0- u$26.3^{\circ}$ (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.