Which one of the following is an example of a vector 3 ok5o*hsv cskb33(bv quantity?

  Which of the following opera5yyafl z7;9c xtions will not change a vector?

  Which of the following is an ufu7*gvtmtf ;ic;8 3caccurate statement?

  The resultant of two vectors is the smallest when the angle between thpvp i6k./dm* z+lgr5n ,yeue8 em is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. W+r-;/l *mb 3vdf b joar)fv+pshen these two vectors a;bd )lafovpf+/vr-mbr3*j+ sre added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the foll6 c1x l3fc pp7v+k2 :ssq0w1zyf8dcfv muv,u0owing is a possible answer for the magnitude of the resultant?fus+lu70 p,vs c6 1w3c280qvcf: x1fvdk pzym

  Three forces, each having a magnitude of 30 N, pull on an objectl sq lbng ubbw1dud+9o)6- 3:e in directions that nedbgsu obu b l-+6913lq:)dware $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkn w79inxvs:a i4own vector is

  Ignoring air resistance, the horizontal component of a ysoxsl79qt iy;9vja 4 f2;y* u(-xcpxprojectile's velocity

  A ball is thrown with a velocity of 2cmx n.j (ur b,m41oivx k3vi+20 m/s at an angle of 60e above the horizontal. What is the horizontal compoj4ki ,xu3x+bci1 .m v onm2v(rnent of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's accele*m pp.c+ fcnc;kgds(+rationc*(c pnd+;gp c+ sfkm.

  A soccer ball is kicked with a velocity of 25 m/s at an angle ofamla;6buv,a*dhxp*: $45^{\circ}$ 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 velo-m --i+a;jv qnn,w jvocity vn;o vmjw- qj in-+-,avector,

  If the acceleration of an object is always directed perpvqfd1eu 57u(tgj(.g -q+ vf-na u nfv.endicular to its velocitguvd+.f-q a -5un 1(.fvtg e( ufnqv7jy,

  At what angle should a water-gun be aimed i+ fecgiuqa ose)m)t2p, /oj( +n order for the water to land with the gt/ )+uooe s),e(ampfg q+ jc2ireatest horizontal range?

  An Olympic athlete throws a javelin at four differee+ 9 kvdh ew709e3qwztn*rl8snt angles above the horizontal, each with the same dt sre* 978k 9znev+wh3w0qelspeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second times yd)b(7 *fguzpz /)qn46atqm. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal r 6mabpqfzdq ntu(g*s 4))y/z7ange R (compared to your first serve) would be

  A ball is thrown at an original speemx0no 9 k:paa7d of 8.0 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 g6d u0atuish aoa4,mrc9,7 j4hoal attempt reaches its maximum height, how does itsrm4oid ,0auau7 ,4ch 9 hj6ats speed compare to its initial speed?

  A stone is thrown horizontally from the top of a s csenmy:u.+05 qn;dmtower at the same instant a ball is dropped vertically. Which object isq5m:n 0+md; seun.syc traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same jtqa 3ohpe 8zamxrpy5 -.k7v 2jnyt)+se ,c)9 instant a second bullet is dropped from the same height. Ignore air resistance. Compare t2atop8)tmeknp +j)qjc 3s.5xh9v aey ryz,-7he times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 160 m 7-u i0hej*er6 tj/+fvnpax9 xi *l1z ddrops a package. Two seconds later it dropsie/ nd*1uiz pl+e69fr0j-xx7h* vaj t a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and on;zk3c ef o4l.*3qpo5:gf)-uugmcuoi6b hit9e second later a second package is dropped. Neglecting air resistance, the dist*3 u65; .czu fh)ge3mpog:q4biu ilof-9ktc oance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a consm2sn lei* :j(qf)bgvay 0x1w6tant speed. Neglecting air re swa v6 :qg2ie (n)10mfy*lxjbsistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. quhzdgq7kjg 5vx-rc.55 r / d.If y . c5x5kghdr.qj-d/vq5rg 7u zou hit 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 rz35oh f ddx j06r1oz,aelative to a straight, level road adjza zrdo,10h5 3fxo6 nd pass a car traveling at 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 strowmjdf c-*zt(6o-cfh 1 ng current. You start out in your motorboat on the east bank desiring to reach the west ban--(6 chmw *fftz1d jcok 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 wil+z1puu9r,p ysl it take you to move 12 km downstream, in a river flowing at +9,us1yr pu zp6.0 km/h?

  Vector A has magnitude 8.0 m (1/mxo6p87goevkiy e at an angle of 30 degrees below the +x axis. The y coy/pxge 1 ei6oo87vk (mmponent of A is

  If a ball is thrown i sof5 (,rmc.gwith a velocity 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 i40en/cjm ct,t d. .foan a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have y cjn.m/o de4.0,cfatt ou walked?

  A butterfly moves with a speed of 12.0 m/s.,f 3+..sg3y jrzxfelwzj wuq-4l8j ,m The x component of its velocity is 8.00 m/s. The angle between the direction of its mowuf jz-,+x3wr8 zlj .qe y3jg fsl4m,.tion and the x axis must be

  A 400-m tall tower casts a 600-m to.,b 48 picoplong shadow over a level ground. At what angle is the Sun , ptcbp.4o8 ioelevated above the horizon?

  Two vectors A and B have components (0, 1) aneozm ;;vg(b,hdu9l7 cd (-1, 3), respectively. What are the components of the sum of tg,bho (e;cv ;udmz 97lhese two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), resg8b-wk2 gar e4sys.4 zpectively. What is magnitude of the sum rzyg4.4k- a 2s 8wsegbof these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnit-fgerufkmt39 u:aav,+r *lt *ude of Cf+* -,r:ka9 rtfetg*lvua3um ?

  A car travels 20 km West, then 20 km South. What i/6uqnu8 ; s8os ozjpxhz;vh0 3s the magnitude of its displacemenhs 8oo0v; ;zj/qup8 u3sn 6xzht?

  Three vectors, expressed in Caoo:s x 7s3k,:g q5vih,7o sejdrtesian 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 i,9dbpz 4 ynu 1hq.1i6qa p/sxcoordinates, 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 = f*zno unvs9/5 (+3.0, -8.0), what is the magnitude of vect n*u fsz5/nov9or C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. bvg6w22 )c p47rhg xks What is the displacement of w 4gv26h7r gc pbx2ks)the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnitude ovsu42 q z1qvmyvs .h14y0t(qnf munsqv0q.s14 t(q hy4 2v1 vyzthe resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the direction .y.ixh .0exxkof thyehxxk0 .i. .xe resultant force?

Vector A is 5.5 cm long and pointbrxy- 8xl u-f( jkd4( ab8taxt/- 5p0w y(rddcs along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axis5rx8 -8ctl(4(yd-x(buy -dbdt parj/wkx 0 fa.
(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 at c(f3n urq*x-v $30^{\circ}$ 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 ano sg,mrc ff x;-d*t64ykh:xd5 initial 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 to the bottom tsxgyx mc5rodf - fdh4;*,k:6 to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontal6wmi1qmwkb.pl si + :7ly, with a velocity of 10 m/s, from a bridge. It falls 20 m to the wats7pq+:m 1 mlwk6b .iiwer below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point * dhx5+y nxkqayl e29+24 m above the ground, strikes the ground after traveling hh*x+y5y2ndlx+9ea q korizontally 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 angd 3t5i w1oc 0eotiht;1k2+ kswle ofe ht3oti1ok w2tc sd1;5k w0+i $20^{\circ}$ 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 an xer4l u7 gdp):angle of upr4 ): 7lexdg$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0(a qf ns(/vl; rbbcl:jqz7:(c m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an i znp-f/p*gh5 enitial 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 fi05 dauxey7 htm p qr(h;bf.b8hb9d5. xred at 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 ros1r1xama 7mv .of of a building 55.0 m axvas1r mm71.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 qwy-t89 w(yb gqx s3y5with an initial speed of 55.6 m/s at an angle ofgy(s3 wqqxw8b9 t-y5y $41.2^{\circ}$ 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 velocity of 4.0 mc+;q zy8h*tfog * ;rnm/s. If you ran the same race on a day when you had a constant headwind which slm+tg *yn;8oqf*r;zc hows 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 df49udsz 32l ;g9 ds8 rqijed96mmic )jue North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to the grounjeqzud2dj3mgrld9 9ci fis )m s89;46d is

  A plane is flying duobx/rl s 83lm +-rte(ie 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 4 0uj4nyrh - npxfe yjjr+spvo)u.1 (*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 a proj4 z(i( ws7uqtdectile with speed 50.0 m/s in a forwar s(zuq(t i47wdd 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 acromi,oou- 98f +hzs*,i 0lfnkvzss a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the riverfv 8 koiom, +,ul*zh9n0izf -s?

  The driver of a motorboat that canibim95b 9xbre + sy7(q move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in whisb9 +5r(i7 bmxe9q byich the current flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 100,5xr 0 f (yuwu;9rtnr;rlre k m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. rrx5lfwn0u9kru r;r,ty0 e(; At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wdpjp z-omtdgup m9 9a0t k(,97ide reaches the opposite bank in 6 min 40 so9gm 0p dzk99m(pda7, tp- tju. 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 opposite xdc -:+ok 4s/33wxpm -szmvny bank in 6 min 40 s. She is swept downstream 480 m. What is the speeypvdxmsn-+3- :wo3 c 4/zkxsmd of the current?

A boat, whose speed in still water 4apx3kjs 6s*z/epy+5 wt3ejr is 1.75 m/s, must aim upstream at an angle of 5skrpw /px 3t+js y*a3ee6zj4$26.3^{\circ}$ (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.