Which one of the following is aw.jn7o y+r 6lwon+; ndn example of a vector quantity?

  Which of the following operations will not change yrqu0l ow 63v sb+:tnh; 3uc8ra vector?

  Which of the following is an accurate statement6-2qzj5qhgwha/4yl0 ak c:jc?

  The resultant of two vft hp;7ovb r*w2c.2p aectors is the smallest when the angle between them is

  Two displacement vectors havedpq9cuel-birn,65h2g vg k1ip+z0. g;0p ltk magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are advg.1 l6ild trk e kn0g-gq 5z 9;p,chiup0+bp2ded, the magnitude of the sum

  Two vectors, of magnitudes 20 and usvr7m)um5u m/2l ae(50, are added. Which one of the following is a possible answer for the magnitudersuvmm) 2e al7u/ u5(m of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object i v tm-,-ku2bxen directions th- ,-bkxtvm ue2at are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown ve2e x6f/ pql6djt 0/izmctor is

  Ignoring air resistance, thelvq -i60; o*e3os p.qp)uc n 3rxhltr; horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the hori9ke fycghmf9 9e+1+ k2;qztrizontal. What is the horizontal component of its instantanyfk+ + ;9ehec1 fqz99gi 2rmkteous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a pm2ahmk-7g*m*ywvz l 3rojectile's acceleration kw glmmyv*am2-7 3*zh

  A soccer ball is kicked with a velocity of 25 m/s at an a9c +gybbodkl3 -3fe(mngle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector ordrh;w( 4.hzkeg ) uw-5k ;kinj6br0m f an object is directed anti-parallel to the velocity vect) -(wbikk 6r4k jrg;huwz ;. r5edmn0hor,

  If the acceleration o22i tc h54z4z7wb pk*dm;*e gjdyqt h*f an object is always directed perpendicular to its velocith2d47kdhy *ttczqep;**wj b4z 5mg 2iy,

  At what angle should a water-gun be aimed in order fo2xbaa /(d bvx-r the water to land with the greatest horizontal rangv abax dx(/-b2e?

  An Olympic athlete throws a javelin at four different angles above the horiza +:q 6wji7r8wkx1 dyrontal, each wq raw +8yi:xdk 1wr7j6ith 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. If the ball leaves your hand with xs+ 2-2hnhziztwice thesiz+ nhzx-22h velocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle of w.1wm) m9;vsh iopz )+g*qm4fcf j k8d$35^{\circ}$ 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 axc 2z7yf5tji- 3ly.g )qod: nuttempt reaches its maximum height, how does its speed compare n o5:7 dyzu3.-tgiyj qx) f2lcto its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a ba.l )g+,4dlv3 yqfgekall is dropped vertically. Which object is traveling faster when it hits the levea ) el+lgv43d.,kfgyql ground below?

  A bullet is fired horizontally, and atm-l*x7l su4v6fic 7rr the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times os4u*r crv- ml xf776lif fall of the two bullets.

  A plane flying horizontally at 4(im mip p 3j5r8ohmk9 40oegta speed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How far apart will thej mi9 8o o4tmp0(pgm4k35i rhe two packages land on the ground?

  A package of supplies is dropped from a plane, and one se(; n5 kzvj6bfncond later a second package is dropped. Neglecting air resistance, the distance between the falling p nkn6v 5(;zfbjackages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Neg3kxdj c*mx8k :ymm:w4 +hg:lolecting air resistance, when the bomb hits the ground the horizon4y: xcmj+:*okkg:m3 x m hwld8tal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth ofj,wx qhd1 bpd+b 07s-u that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the ball would landwddh17 b s pjx-uq0+,b

  You are traveling at 55 mi/h in the +x axis relative to a straight, lev* yg,:wo0zqic el road and pass a car traveling at i, 0oqy z:cgw*45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong ci 3)-icgb3s(k kurk2r urrent. You start out in your motorboat on the east bank desiring to reach the west bank directly west fr r (sbi )3-kkrk2c3ugiom your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will it ;vzg 84 bdqy66 c7a.yogh )rvctake you to mo.y78cv4 rqv6 ozg;h6c dbgay )ve 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 zyf4hz k5e39-le fm8i m at an angle of 30 degrees below the +x axis. The y comp z9zkeh4l3y5f8ef -mi onent of A is

  If a ball is thrown with a velocity of 25 m/s at an ang 3cvcbdk4+whyx6p hwf(c43w1le 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 any;xv4wwr .w/*v; k2bam -j9, edjwyu qd you end up 2.0 km north and several kilometers east. How manjxj rmuakyb-2 .wwwd4;y ,*/qew 9;v vy degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its veomk- , krwzc/)locity is 8.00 m/s. The angle between the directi czk-kmrw ,o)/on 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 what ac0m c3mspl5tn )0ix 9lngle is the Sun el0c0 9i)m3plsxmn5 tclevated above the horizon?

  Two vectors A and B have components (0, / b8gspdt1 ta*b8;mflk)at 9vtx 8zf21) and (-1, 3), respectively. What are the compon)ts8 lbd /z8 ;mg xvp82kfa*ttbft 19aents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What gk-g,o1yzhdg 7xcl x3, yqm3:is magnitude of the sum of these two vecto mcx1ogh-, q3, 3g zgx:dly7ykrs?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Wha. rhybj1nyr* 1 ,fd0zdt is the magnitude of C jy hz1yf.n, r1 *d0dbr?

  A car travels 20 km West, theng; ae+ 06kvnys 20 km South. What is the magnitude of its displacement?6 segvn yk+a;0

  Three vectors, expressed in Cau z* zh,m too,*8emnj+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 Cartesianpp,*, mxrn.w7h g*ubd 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 ved3i-v .r/gjvx6 mp t,xctor B = (+3.0, -8.0), what is the magnitude of vector C = A - B 3x v-/v x.p rtj6i,dgm?

  A runner runs halfway around a circular path of radius 10 m. unp )kj 1gl.kzpud 06,What is the displacement of the joggp g1zukldpk6n) 0. j,uer?

  Two forces are acting on an object as sqxm x(gvt- c bn:fv)d(p+wy/ -hown in Fig. 3-1. What is the magnitude of the rewxxbv+n/( cq:v (td g-my-fp)sultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is th21ojq bzyr v0h8tz iq ysh8-c/n5x,w*e direction of the resultant fotocx5zvn * r/ 1 bj,8q 0wyz-h82qhsiyrce?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm long ,76tuhbi0 rkf and points at +3u7fb ir0k,th60e 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 points a*+y9ryv jpkr7t $30^{\circ}$ 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 aq9h.a f; +emewn initial speed of 10 m/s from the edge of a cliff. A stop watch measures the ston aw;q9f hee.+me'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 bridge. 0 5qgnj52wrqaIt falq 5r0j q5wang2ls 20 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m a1 lwuujfas :;r2p)7 vobove the ground, strikes the ground after travlwu)v1 2a ujsr;:7f opeling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an anglex7 b.b ot1-srz* vo+lv otz .ovx-7roslbb+ v*1f $20^{\circ}$ 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 withd 2bd) i2;q w+/bbmrib a speed of 12 m/s at an angle ofb2q d b)mi;2+bdbw r/i $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial v1ycu yn; n3wz3ai3k *gelocity 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 of 60.0 m/s at an angle /je5 o8pk; /lqz,krf cof $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle e2uc .)b ax: 4jepk:qcof $30^{\circ}$ 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 55.0/zmz /st,3im s m tal s3//tz miz,msl.
(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 groundq/a,y k3w,8ln+fufb a level with an initial speed of 55.6 m/s at an angle of/wuan+y b8, lfa3fk,q $41.2^{\circ}$ 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), youedft 12n4 )eo ;dtt3akecvgp3tvt + *0 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 cong*tf2n3td;tc)e4o td et av01 3kvp e+stant headwind 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 wbb p+ 3mx5n xde-wnccpu(y96 9ind of 50.0 m/s to the West. The plane's speed relative to the grounuw- e6y9 cp5pbxdn 9x+m3 (cnbd is

  A plane is flying due Soky8 sm k)scn:ef mawd07/.:to uth ($270^{\circ}$) 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 he2xsi3 w8fpwp- aded $30.0^{\circ}$ 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 speed 5g8b7 chb a23w t5qotqxlp,2)u0.0 m/s in a forward diqcu5axh b3l,gobtt7q2)2 8pwrection $30.0^{\circ}$ 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 gm(qcf ytx-:p7je.b3yp)c c3o4avo 3 across a river with a current of 6.0 m/s. What is the speed of the boat as it v 33c-ya qpe) mtc7gbjx o4cyopf3(.:crosses the river?

  The driver of a motorboat that can move at 10 m/s iz 5 32m r*sx3keknz(mwn still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s* r ke5233nsmkzzm x(w. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s ykyk l5vk37xq r +;2zpin still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/yk2+3 ykv l;75zrpk qxs. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reavd.+opsfz 4 ):ti zf7w zr01igches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still 4.z)gwz: ts17r fi0p+dv foziwater?

  A swimmer heading directly across a river 200 m wide reaches the opot 6x2ei.ht2rposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the curr.erx22oth6t ient?

A boat, whose speed in still water is 1.75 m/s, must agt+l4c 8y+qugrj6n h7im upstream at an angle of hnrqg+ 4t u8cj76gy l+$26.3^{\circ}$ (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.