Which one of the following is an examplegnzvqj3br/+o sc 9 jir9k;ap4 -m--nl of a vector quantity?

  Which of the following operations will not change a vexbh.kux f+ g0,ew/ q2(pis3+kqotbw )ctor?

  Which of the following is an accurat9-,o f,wf/5qkuzmexvbyyq ;4e statement?

  The resultant of two vectors is the smallest when the angle betweejg+ s4ahr o1k2n them is

  Two displacement vectors have magnitudes of 5.0 m j g1ndsbl;-izo 50v 9rand 7.0 m, respectively. Whenj 0sn;1rlz-5g ibdvo 9 these two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which ond )0l tkwcs61ze of the following is a possible answer for the magnitude of the resultantk6 )c0wz1tsd l?

  Three forces, each having a magnitude of 30 N, pull on an object in directions0/qopvkbda)kl 9) p; m that are va pk) ;p)odkqmb09/ l$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown,nb v rb:z6h+7dgd04pb the unknown vector is

  Ignoring air resistance, the horizontal component of a projecti8)5tu ysw)zaq eewt5 *le's velocity

  A ball is thrown with a velocity of 20 mw0 h5tltkjli-f8 :6u m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its tra:tu5 jh8m0iw6lk f- tljectory?

  Ignoring air resistance, the horizontal component of a projectile's accelerac8n5n tpu4. sption.5upn t4cspn8

  A soccer ball is kicked with a velocity of 25 m/s at an angle .n y5h4hzxyeui4fs a5/.fud c2+m 5vwof $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration udvfgku.95 o/(3 yjfm vector of an object is directed anti-parallel to the velocityf.gu d35jv k(mo9u y/f vector,

  If the acceleration of an object is always directed perpendicular to, /bg5 j3hygqt its velocith gg/,jb35qyt y,

  At what angle should a water-gun be aimed in order for thef55coq9xcqo 6 water to land with the c 55ofq69 ocqxgreatest horizontal range?

  An Olympic athlete throws a javelin at four different angl m4(y2+tbbp hees above the horizontal, each with the sam p2t+ byeh4b(me 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 ti3, 6/9sfe z0 pwyikly(q il/yome. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (comlowipk/fqeiy0y6 s9 yl/z,(3pared to your first serve) would be

  A ball is thrown at an original speed of 8.0xlikt ,8lh6 w7dx*v9p 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 +e8.u6 tjg-p.ctq sz7fbdrw55yal1b attempt reaches its maximum height, how does its speed compare to its iniz61g.l y+ru58 f-tejw7s aqtdbp c. 5btial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a bwy g1 17j+9)sv1aeug,vfnyng all is droppe9nwy f7,gn vu1+g )gsyj a1e1vd vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is drop5 echzfqf+9gu 2cq7tbeed l7 .tns(-7ped from the same height. Ignore air resistance. Compare l(tfc5qneefzbht c .7- 77dq9u +s2gethe times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevationc. *s-.gfvg-xnk9nd h of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two pack cskv.gngnxf- 9*h-.dages land on the ground?

  A package of supplies is dzr*fs wms t9 4s)g)214jio9dgu d;qe twd6k5 nropped from a plane, and one second later a second package is dropped. Neglecting air resistanc1 qn *o)dwizwugf; tsds4mj 5e62s9r k94tgd)e, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. cbj4zd p7b l0hito-3zc ;p /h+ Neglecting air resistance, when the bomb hits the ground the hori7p hh3t/p4o +l- jcd0zi;cbz bzontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that ez0uom 9h4x,j on Earth. If you hi jxhz0em94u o,t a baseball on the 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 +x axis relative to a straight,pf+2uqldf(g4 f: d (iw level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other car isq(puffd(:+ filw24 gd

  You are trying to cross a river t djt2*v x(y6mphat flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank di 2*6pymjt vdx(rectly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h 6 zjzh 8kkc*udo;/t p1a;6bn iin still water. How much time will it take you to move 12 km downstream, in a river f n pk;b*/6ohckiud6 a1tj8; zzlowing at 6.0 km/h?

  Vector A has magnitude fae+.ob q (1ccs5pr7 r8.0 m at an angle of 30 degrees below the +x axis. The y combr5o( + 1af p.7rcqcesponent of A is

  If a ball is thrown with a velocinyic(yyh;6xpao f/+4 ty 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 directiond7ut) ndrd14wm-xigodfx5 )9h 7+wej north of east and you end up 2.0 km north and several kilometers easddu 175dejgmfw)iw-xr9 d )4t7+hn xot. How many degrees north of east have you walked?

  A butterfly moves with a speedy/4p,( kwbnkr of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis mnrk4 /,kbw (ypust be

  A 400-m tall tower casts a 600-m long shadow over a level gv n3nbo wq;k.j)h a2zwgz0+fv,rs m* 0round. At what angle is the Sun elevated above the hori*v)b .ofkvj mg+qa ns0 2wzn,w r3z0h;zon?

  Two vectors A and B ha. iqcailfxe ung ,wj6w31w(f0y8f (k(ve components (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vectors?xgqn6u.i w08(af1w fjciwf y ,(lk3 (e

  Two vectors A and B have comyt rkts,chbh798j3)d ponents (0, 1) and (-1, 3), respectively. What is magniyscr 7d3kj9bt,)h8ht tude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vc) t ms6hju: m:*pc5xcb(t sh(ector C = A + B . What is the magnitude of C ?uhms t b6:(t5 cc*(sj xc:pm)h

  A car travels 20 km West, then 20 km South /2c; ukd.woph. What is the magnitude of its displaceohudc. ;k2/wpment?

  Three vectors, exprek(c q ln.bk70qssed in 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 Cartesian coordinatxtop-ab q5ml(64.n r ud qq:2tes, 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 magnitud/;q// jjx/zao yesc,de of vector C = A - zye /;ojq/ cd/xsj/,a B ?

  A runner runs halfway around a circular path of.q k io:.vwri9 radius 10 m. What is the displacement of:v oqr k9.ii.w the jogger?

  Two forces are acting on an object as d: u2rue d0j*x5u+ja hshown in Fig. 3-1. What is the magnitude of the resultant force ra:jdhe+0u5u*jd2u x ?

  Two forces are acting on an object as shown in Fig. 3-1. What is the rj0ti8:b o:w+jz,u va direction of the resultant force? v,:+b0wt:jj ruzao8i

Vector A is 5.5 cm long and points along the x ad x0y4, mzii,yxis. Vector B is 7.5 cm long and points at +30e to the negative x axix zdi,,0ymyi 4s.
(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 pytau1law.g1qt wi0 *6os1sbt p a1y0( 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 speedu7v5xs p.8scx of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the 8 7xux5ps.svc 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. c/ dkygktq v ;qu5v7(:It falls 20 m to the water below. How far does the rock travel horizontally before striking tgqq :c; /tv(vky5 7udkhe water?

  A ball thrown horizontally fygt),)c9ky6z gbt 7 ffrom a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speedf) 7gzcgkttf9 y,y b)6 was it thrown?

  A jumper in the long-jump goes into the jump with a speed oftx3ikbh k5*c+guc / 1k 12 m/s at an angle okch*kx b1uc 3+k5gt i/f $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the longht w. uw3/cda7d 2eu4d-jump goes into the jump with a speed of 12 m/s at an angle of2e3tw wuhd.a/u d7c 4d $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an angle o u jrth9f,l z.z-u(i(6n nnxd+v,sde9f $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s at an angxwha+ :g:d9x,wrm -fule of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired atcf8 pss5hw01 m 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* 2t *fgl6xltt of a building 55.0 m l tg*lt6*2tfxtall.
(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 lev/c1jvon 5ps*:o4 io h0 pjx3bdel with an initial speed of 55.6 m/s at an anglj*1o0o3nvh:ijdsp5b4co x p/e 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)+((qp(cw7 gcn 1rbx jz o19jq38ajbv z, 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 takc7( j1qrzz(jo3xgv wa198qpj cbb(+ne you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wiv.a q s9d8di0x,xzh+ lmu tfr6xd(*q6p-c* pnnd of 50.0 m/s to the West. The plane's speed relative t*6 a(f6zlqx vs,.*mu0p+c p9d drh8ndxqx i -to the ground is

  A plane is flying due South (he -r0fcm;dpayitt 4+qo6)wllj2 1 g+$270^{\circ}$) 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 igp9hv *gvkd9b+*t d yakr. b(2wll-)vs 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 a projectile with speed 50.0 m g*-tuk8 uz*.pym ydc:yz0s0 k/s in a forward y z0.0:m8tk y* dgpc-u s*zyukdirection $30.0^{\circ}$ 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 4q8*5be u ;j8yqhm y(zo(cp jsdirected across a river with a current of 6.0 m/s. What is the speed of the boatcmphy bq4os;z((*q 5je8y u j8 as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in stk3pg(o18v3 r- 4h cd1wnouomzill 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 ta4vm(3kr311owu no -z8hgdcp oke to cross the river?

  The driver of a motorboat ge(5 ,akg w01ermr/h j*w1fhx that can move at 10 m/s in still water wishes to travel directly across a narrow strait in jhmgfk0/wr,1hw5*(g 1 xe arewhich the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading direc1 r4 6oty g,edsfm5r9itly across a river 200 m wide reaches the opposite bank isr164erti5m yofdg,9n 6 min 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 wi il.wbv- wpmj 0k5k/7/,unmz yde reaches the opposite bank in 6 min kwvjy5m-klm ip/bu 7nw, /.z040 s. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream /7*.f.wqx ne l ;dutfcat an angle of e wl.*qxf/;u. t 7dnfc$26.3^{\circ}$ (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.