Which one of the following is an example of a vector qmq ynj 38nz:c(uantity?

  Which of the following operations will not change a dy ,bwv8jj+;m vector?

  Which of the following is an accurateqp 04rshir8z - statement?

  The resultant of two vectors is the smallest when the angle betwn9lriq.b+ fkrl2 e 0i/een them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectiv2(g3dw)cq v l d+b8 )v.zdhiihely. When these two dd 8+ih.gd(cvzil q w)2)vbh3vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which o*5u6 /hyraddma7fe i/ ne of the following is a possible answ a y*a7 /h/im65rdduefer for the magnitude of the resultant?

  Three forces, each having a magnilqws mwhudp-o k)3z*49os:4n+ yfp) gtude of 30 N, pull on an object in directions that f3)4*4kywsqpmo+p nw:gzl9)ohds- u are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the ugp d8g 6dq*p7vvqaz6+nknown vector is

  Ignoring air resistance, the horizontal component of a proje vt joma ft;sh6;vm653ctile's velocity

  A ball is thrown with a velocity of 20 m/s d/qtfp2bv ,r2t 3.a g,x5uk(rq igi/k at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its t(,rp/ku2rxab3. ,/g ti5 gdfvqq i2ktrajectory?

  Ignoring air resistance, the horiv,eim ; pgx2:lzontal component of a projectile's accelerationlpigxvem; 2 :,

  A soccer ball is kicked with4(; km x c6 mox3+tvbgp3cxpe+ 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 oifnr) pq+o w2d -35f fz9cipx*bject is directed anti-parallel to the velocity vecicdw+2o 9)5n ffpzfxq i*p- r3tor,

  If the acceleration of an object is always directed perpendicular to its vel ubjee3 ky0c moomf1(4+ +h1jeocity1hy (j 0+jeebuookm43c+ef 1m ,

  At what angle should a water-gun be aimed in order f2wx oc7 lcz/.ni9)uav4z lk/for the water to land with the greatest horizontal range?/k2 naxu9ocz)flwv./zc l74i

  An Olympic athlete throws a javelin 5wub+od21zx zjuk f)//cd5lmz; *wfj3h 0g swat four different angles above the horizontal, ekuhb+; )3juz / fdsxf*5lm0z 2w zcjwdw /o51gach with 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 08+dogfi/8a w ds.uyrz ,pe gvv4p(w3leaves your hand with twice tue3zr ps /8igwp4 v.0g8d(d+o w,fvyahe 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 m5vdvx 1alb *u4knl :3s c0bp)j/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 attempt re mj,;r4.s r *x2lz(gccugnij+aches its maximum height, how does its speed c2(ligux nr; ms* c4,c.zg+ jjrompare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant au1 qjk0qy*x7c ball is dropped vertically. Which object is traveling faster when it hits the level ground uc0jq7*1 ykqx below?

  A bullet is fired horizontyp us)iz tippf.4 .8s:ally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of th.4pfzuspy p. si):i t8e two bullets.

  A plane flying horizontally at a speetih+* n*1agyykbs4 ;qd of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How fargbyi+q4h*k 1tnsy a* ; apart will the two packages land on the ground?

  A package of supplies is dropped from a plane,b49-3oums l(9 + l(ya(pqhwkut vi9xc and one second later a second package (-h+qsak9(u to ll yu94p(v93imb xcwis dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a planerv-j(.xcs 71:4*wki0sie o xgmw op4z flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the pla ijr(s1:0x.w kcgsw4* iev m4ozx7-opne will

  The acceleration of gravity on the Moon is only one-sixth of t9y2 l csk+5)zp3jg,ezc(te gghat on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that yo5kgzez tpj, yclcg(329s +)g eu would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relatpy7p sxu6wj:;5 yh;ip bk; bk4ive to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other car:kp;k; yywpu 4hb7p;bj x6i5s is

  You are trying to cross a river that flows due soubk5k*8z zh, qrth with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directl q8hzz 5*,bkkry west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time wil2)ozy ,b) o7zqx x9ohil it take you to move 12 km downstrea bz)x,zi)oh7xo2 y 9qom, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below o3vr+ao w2+(/sk mxbythe +x axis. The yyvw2/x+k s aom3br(+ o component of A is

  If a ball is thrown with a velocity of 25 m/s aq+q -csv4lh t8st +th/t 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 eawn2 yunu 8u-z:st and you end up 2.0 km north and several kilometers z yu:nwnu -8u2east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x comnlgl )m4(ibl f0;3bkur;j 0hy ponent of its velocity is 8.00 m/s. The angle between the direction of its motb0m (;lg4 bfr0;iklyuhnjl) 3ion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what anh/m r-pjot -r6ij/ t60 9lyaqggle is the Sun ele--/hqto ym6lr ji 0rtga6 j9p/vated above the horizon?

  Two vectors A and B have components (0, 1xe;.cim jpw oqsreu(e:5*ivz 1/t7+x) and (-1, 3), respectively. What are the compoo;1xi.wveic(: rj seep /m*5x q7zut+nents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. a* hju-s l5od)uz)cifn/6j *e What is magnitudcf lu)5djo nji *6se )auh*-z/e of the sum of these two vectors?

  Vector A = (1, 3). Vectordhn4yd9-65 5 jehcie2bu n n92u*vz tk B = (3, 0). Vector C = A + B . What is the magnitude o*z-n jvnk42cb99 tn5 6uuhd5ieyh d2ef C ?

  A car travels 20 km West, then 20 km South. What is the magnitude2* w 82ozllsis of its displacement? iwso*28 2llsz

  Three vectors, expressed in Cartesian coordid25g mrswf ap 05c +-+q1obnpanates, 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 Carteseh tr0vp+ qz62ian 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 magnitudei9b -sxsk 7m17 fnhz7f xq;*rr of vector C = A bx mzsf-7fxh sn9q 7*7r;1rik- B ?

  A runner runs halfway around az9 usn1y u*uk( circular path of radius 10 m. What is the displacement szy9 (un1uk* uof the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magne0rqn;il. a*qbgml* oroj -9+itude of the rel+bj;n rgreao l0qq* *o.im9 -sultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is trm34(:frw dmuk i0 razf2o/,ghe direction of the resultfugi /mkrd m43o rf0(:ar2z,want force?

Vector A is 5.5 cm long and points along the x axis. Vector B isfm0 i)3o7 r hkxv8h1-:tjbmup 7.5 cm long and points at +30e to the negat u khhfo xp8t1jm b7)-3mvi0r:ive 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 at g.nsp07 6shxu$30^{\circ}$ 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 wiyjvpwrv 8: ) -77hezilf b8 i3c(knn7ath an 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 clfiy8 l 7r-):(hzpa78n i3v7c bkvnejw iff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock ho--gg acbf9kz0rizontally, with a velocity of 10 m/s, from a bridge. It fallkcfag-gz 9-0 bs 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 (06z,p24btmqeq o nz wm above the ground, strikes the ground after trwb zm 2n0t4pe6,qq(zoaveling 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 an5b/n5g li( zlmgle l5 zgn(ml5ib/ 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 : dwh, )y:pojvc)nvf3a speed of 12 m/s at an angle ofvyh vd):, 3opf:j)n wc $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial vel tziqy7qj3m/5fjgf8ryz4ez 7o+ e;/ docity 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 angs61y )v-pls wm.,*fnf aaczb(0zjj /yle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle of fc6fw7fy o8x*u4 d*qp $30^{\circ}$ 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 horizontall00gt gx*lsx+ f3h7i g4u(shm wy at 23.4 m/s from the roof of a building 55.0 m tallsf3gslu 7th0h i(mg x xg+*04w.
(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 groundrfh .ojcv/(ek qi.q/h ub-1 (f level with an initial speed of 55.6 m/s at an angle of 1h / u/q( j(-fi..chkfobqrev$41.2^{\circ}$ 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 k(lsn+xhzth.-tz (9 c bxf8 p0run a 1500-m race at a velocity of 4.0 m/s. If you ran8-x( p kb9(tlf.x+sczhhtz0n 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 take you to finish would be

  A plane has an air speei)a0ywi7-xx o/1gpxf y -hc8bn1y1i w d of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plax n7xi1)piw-b0 -yco18i/y fx1hgw ay ne's speed relative to the ground is

  A plane is flying due S 1ym*ie7l9 ihhre whx llo+fakmw9; 4*h+ ja(/outh ($270^{\circ}$) 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 i fq -6oonlksm 745vft.s 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 50al;bpogwna 1- l8r3j1.0 m/s in a forward direction 1olanl 1;-3agwbr8 pj $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in stx,0 vm;jm* htaill water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. Wha t max;j,hv0*mt is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 jd3( hvw)o3plm/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/3wd(lvoph j)3 s. How long will it take to cross the river?

  The driver of a motorboatu*ulsh6 qj0f 0 -cf1mc that can move at 10 m/s in still water wishes to travel directly across cq6u j-f10 fh0sul*cm a narrow 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 oppo 0rek sd/0:tdxsite bank in 6 min 40 s. She is swept downstream 480 m. How fast can dx esdrk/00 :tshe swim in still water?

  A swimmer heading directly acroqbkvf *9 -mzoez mh50,ss a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What ih zf0,v9kmez-m*oq b5s the speed of the current?

A boat, whose speed in still water is 1.75 m/sxt v:+stei8, zf+:nvf, must aim upstream at an angle of +f xe v+:nfs8tvt:,zi $26.3^{\circ}$ (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.