Which one of the following is an example of a vector quantity? 3jfdf3 x7cp6-o ) gtww)9fxbr +mzn*b

  Which of the following operations will not change a vector?umg/lai k.3n 0

  Which of the following is an accurateeo1vn4 3lu2b mj npx46 statement?

  The resultant of two vectors is the smallest whenvug )qy .3qlnv,3hew j:f7fb3 the angle between them is

  Two displacement vectors have magnitudes ofo c e7r/ zhjar4zj bd:h69hw+3 5.0 m and 7.0 m, respectively. Whenzozj+:3awrrjbhc h6 e 74d 9h/ these two vectors are added, the magnitude of the sum

  Two vectors, of magnitudesd j162 s2hq9ry l;skbl 20 and 50, are added. Which one of the following is a possible answer for the kjyq2hsll1db 92s; 6r magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directions z0j(lb+t6u pa thapa j+(zu lt06bt are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecto: r92xwe ibiz:4sfi5gpffr ; 5r is

  Ignoring air resistance, the horizontal component of atk y /xmm27s:o/:bwq k projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the hor8 2;.u suovrf6+ gufikizontal. What is the horizontal component of its instantaneous velocity at the exact top of itsuur ks;g u2ff6+8o.iv trajectory?

  Ignoring air resistance, the horizontal j tn ;6:jv(lt*sm0/gj (2teafjn m,h dcomponent of a projectile's accelerationl a ;j/ tjhgt*:tnsf ,emv0m2nj6((dj

  A soccer ball is kicked with a velocity of 25 m/s at an ang5 (nl1uvcazdg*0a2 tup+ot8bzs q )1vle 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 t3crpdo6dl 6u:n o/ h/qhe velocity vp/cu ddln/rq:o636h oector,

  If the acceleration of avcj8 x6g 0ef0rn object is always directed perpendicular to its velocity,0f6 veg 8xjrc0

  At what angle should a water-gun be aimed in order foyrc:qvqfa 3rp)/t / wej+(/j8g6y mwjr the water to land with the greatest horizontalqp8j +ay/jej /w(6rwr:vc)/3tmf gyq range?

  An Olympic athlete throws a jav(qhh las9 ji:/h,k/w,ggyf ;ielin at four different angles above the horizontal, each with tiwhhag/i(fk/ys ql,9;hj, g :he 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 wfmknuw2u js/vi64 1,*m,e hu hith twice the velocity it had on your first throw, its horizontal range R (compared to your fi uuus mwhnh /,6iv j4,me2fk1*rst serve) would be

  A ball is thrown at an original speed hqfqcrch;o+ipm +f7 (;5 8 lsaof 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 goal attempt reaches its maximum height, how does itsa8rtmt+ s a7ia0:0(dkvu hdd4)w*udp speed compare to its dp rv8ad*ukwd +(u t0ati:4hd7)asm0 initial speed?

  A stone is thrown horizontan ,i8fcnqq r3/o um(pm)u7(cully from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the lev( 7qc, muoc/u 8)(nrnfqmpui 3el ground below?

  A bullet is fired horizontally, and at the same instant a second bullehk8,/tvt * arrt is dropped frt/*a8,thrr k vom the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontan/su,u.f:s)) 40j q eugppxkdlly at a 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 wid.4p/k), uu gx)fs:n0ejspqu ll the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second pa0wl uhk-y,ifj*6 ter/ckage -ri flj/wk e,*uhy6t0 is dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flyincltn 4m,*hk v;g horizontally at a constant speed. Neglecting air resistance, when th,*4 nhktmc;lv e bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth o- *o-wutuko9if 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 Eaw-i tuu9- k*oorth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative/le)y y2.eg: slis h 55wvj0fd to a straight, level road and pass a car traveling at 45 mi/h. The relslg0j e2iv e .5lfd:h5)wyys/ ative velocity of your car to the other car is

  You are trying to cross a river that flows due soutbm i5 w1uz-(gg1lbza 7h with a strong current. You start out in your motorboat on the east bankg(zm lu7 1i5b-1gzb aw desiring 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 st7x(-dw sx+abv6/ rwvpbp,e6e ill water. How much time will it take yb, e+ve /wspp6 bx(d7vx6w- raou to move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degree7fh/p80-s) jhp xl*1xk jc*r qh4k ukus below the +x axis. The y componenkrkkcs78h) hq*/jl4 j *hxp p-fuu01x t of A is

  If a ball is thrown with a velocity of 25 m/s at an+)a pn3c2) t n(lax: ;psvjnltmzpv 9: 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 east and you7xsek11 xt*kk3 rv.rsqlp6-x end up k1s-*xvr. 7 pxq1r3t6eslk xk2.0 km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. i(y:,o:q rmq-e h,v n+eay1cyThe x component of its velocity is 8.00 m/s. The angle b+,y:eoy(1qrq yia :,-cnhemv etween the direction of its motion and the x axis must be

  A 400-m tall tower ct(o+1qu6f8 jkwcv/b bqer, 5uasts a 600-m long shadow over a level ground. At what angle is the Sun elevatbk 85ej1tf/u u,v +rc 6owq(bqed above the horizon?

  Two vectors A and B have components (0, 1) and (-1,s5k mfng8hp25:mi9 sxrv/s nb8o79 zu 3), respectively. What are the components of the sum of th95npx5s7 ofkzvshs2n8 bumr g/m8i9:ese two vectors?

  Two vectors A and B havef l;xlvxvjo6mx mt3 t46g ub ;wslf 6+4r0+6fe components (0, 1) and (-1, 3), respectively. What is magnitude og4tm4ll6uv+ftx+ lr6 v0 6sfwx 6fom3;xb ej;f the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0) .sqdxe rz0;v/kh87ex . Vector C = A + B . What is the magnitude of C hdv8es kq;zx/0r7 xe.?

  A car travels 20 km West, ejgg ,o9yf. 3+/5qhsfeb ba(j then 20 km South. What is the magnitude of its displacement35,qge( b9f+s yhgf/ o bjaj.e?

  Three vectors, expressed in Cartesian h/g2mvrh3qsqr w( : -zcoordinates, 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 coorveqhqh+9 2zg*48cg:. yu izbpce:f 3kdinates, 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), wha v0po f7yv4;mht is the magnitude of vector C = A - B ?fy40h pmv;vo7

  A runner runs halfway around a circular path of rad 0zr m:dy8c2zwuivl91ius 10 m. What is the displace zl: viy81rzc0dum w29ment of the jogger?

  Two forces are acting on an obplgz- zr-5*xrject as shown in Fig. 3-1. What is the magnitude of the r-gr z rz*-5xlpesultant force?

  Two forces are acting on an object as show hhrhxt*-n)q;pdqwz, x c 7+z7(cq(exn in Fig. 3-1. What is the direction of the resultant force;hrc xzz7( h+)xcet7p x*hdq,w- qn q(?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm longmlnt1 bjas7.7 i vs0 *p3okw0q and points7tm isbj w0vn1 .0ol7kp *s3qa at +30e 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 pointk:fm49k k .hays 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 speed of 10 m/s from the edgk:8 rm,scu9q he of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of ts hr k9uqmc:,8he cliff?

  A girl throws a rock horizontally, with ahw z/ 6amcay*. velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock try 6wam*hcz a./avel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m9,lkv,r2o3-t avqapm above the ground, strikes the ground afv,r, atqk 29al vm3-poter traveling 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 8q/66 g,fp pexkqq 5lrm/s at an angle of x56l8,pg6qk/pfrq q e$20^{\circ}$ 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 ac;uxj+c h 0vba)jgk/r c.kc(; n angle a bg.)/ jc;cjr (+u0xc vkkch;of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial ve1gx5iu/ wv y5utif 5v2 rr0fk8locity 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 a yh*uqr m(l3r mrmz7f5 d+/2yrt 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 asx , o0q 1sx/8w.ae;ywcxzob:03fe t ingle 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 of a bui+6xkw;or:c8apdvv9cu ,x yh 1lding 55.0 mwyx,h;6rau8 +o v1k:9pc vcxd 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 k5(b7e lw8tya at an angle 5 8tlka7(ebwyof $41.2^{\circ}$ 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 150:nsd yy3 z u6okj*o s./s9y xnmc2/-oy0-m race at a velocity of 4.0 m/s. If you ran the 3 u/nsx*dyy-2/oc :n6 m .oyyk9jozss 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 speed7hl b 0akm8 tk*ayb6jv-j4 v*b of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's bbj7ka6 avk4vy-b 0jl*m* th8 speed relative to the ground is

  A plane is flying due Sr*iiel:ds +: pouth ($270^{\circ}$) 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 kmapme1+7 gkx8 n*g7u wg/h 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 k+1bwzjd /aec2k 9cv 6m/s horizontally fires a projectile with speed 50.0 m/s in a forwardb 1v k9ccda+26ejkw/ z 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 watkz-ks57yv1x vh*us*, ebl cl +c.zax5er is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the v x ksuczy-s+x*az 5hec.7 v,bl *k15lboat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to trave,xj)zqkv15 q6 k k*vdwa;lvo *l directly acrokv1* d)jvl 6kw vk;z*qq5,ax oss a river 1.6 km wide in which 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 10 m/svvbzbabt*(,inl 0 hezt+ )73m in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver ht)+b ,vb e (0him3zntv7*zbla ead the boat?

  A swimmer heading directly across a river 200 m wide reaches the oppositear 9fza5t/3og bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in z5 /otaa9r fg3still water?

  A swimmer heading directly act(+bdicgc g05 ross a river 200 m wide reaches the opposite bank in 6 min 40 s. She c( 5gt0d+bicgis 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 at an angle ofq0b6yrjntk 2*+(mb zsbqj*tksn0 z6b(r m2y+ $26.3^{\circ}$ (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.