Which one of the following is an ef ynac29zys).;5a uja7zp*zgxample of a vector quantity?

  Which of the following operations will not change a vec/ 2wiz ;w35boj yhw61 gkw29z-b 7nixo q1tyjxtor?

  Which of the following is an accuuv)+xe19rm:kp blyu2rate statement?

  The resultant of two vectors is the smallest;-tv1 ziq y9h ymfe+yvb nr5.0 when the angle between them is

  Two displacement vectors have.izfd (+3u(tokmm o6 a magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the su ( k6u(z.mdt am+oif3om

  Two vectors, of magnitudes 20 and 50, )nafc 255u 5j x2rsemuare added. Which one of the following is a possible answer for the mar52sac ne j552 xuf)mugnitude of the resultant?

  Three forces, each ha+6/nw uciqk;vving a magnitude of 30 N, pull on an object in directions that ar ;in/u kvw6q+ce $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkno 0-+* bbv0nanj*mrw az p b3tva-9u)ciwn vector is

  Ignoring air resistance, the horizontal component of a projec/tax 4t)rbczam2b73 1woign ; tile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the horizo5 imn nagd4acz nz18*)ntal. a 8 41n )*nizgcn5amzd What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance,n :* fxbm4e(id fm9w(o the horizontal component of a projectile's acceleration (ofe ib (wd:m9xmn4*f

  A soccer ball is kicked with a velocity of 25 m/s at anhos76 -a gnx6h 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 object is directed anti-parala k(np4cw/ jrzif ;70.x8r kzllel to the velocityp;xn j0 lc(zf8w4 kr/r.akzi7 vector,

  If the acceleration of an object xrvz/+xk:)y l is always directed perpendicular to its velocityzlxky: )/+r vx,

  At what angle should a wate6s b9o rny;s;nr-gun be aimed in order for the water to land with the greatest horizontal ran ;nbs69nr;ysoge?

  An Olympic athlete throws a javelin at four different angles )iqs8gbc5,p5k, 9tegjl cs/ kabove the horizontal, each with the same speed: ke)klcpb s9,, 85j5 /gstgqci$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 leavesncvp+o;pgs u7jls(bgoz t-h 3(6t92nhk 3 j*i your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first sgns2z+k7tt j-uop s n 9 ilj3vbh6hp(o(3g*c;erve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle -. blz4ib/- -u vuera 4e,clakof $35^{\circ}$ 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 itsnah+b;1 md;gf y;e4qo speed compare to its initial speedda+fmq ; hebn gy;14o;?

  A stone is thrown horiz.ymy f90mst egg6et8ld63 tzcvh4 (d2ontally from the top of a tower at the same instant a ball is dropped vertically. Whzgem486 ftcse9d.t t v 3h(y0mlydg62ich object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the sai5js)hkv+d qjz. (ut/r8l sfk,ie1* bme instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of f*dsekrbq jksth ui+(,5 /.8zj l1) ivfall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elyo i)t(m 8dusoj +rf19evation of 160 m drops a od 1t+sy9 )mrjf (oi8upackage. Two seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second paf kssq5 f/8vt9 1)csp ;f;vkztckage is dropped. Negleqtv ss9fk f)v ; ;c1/kstpzf58cting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Neglc4v)z.b8d5m x o8fab w.np2ouecting air resistance, when the bomb hits the ground the horizontal locb8fxd. m4vnzo8w2o 5pa).cbuation of the plane will

  The acceleration of gravity on the Moopru+m*bq7xo w6x5,y z( o kwj5n is only one-sixth of that on Earth. If you hit a basebkbxo 7+jq*yurpw(o wzm,565 x all 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 he.zkl3(- d6,e-qj/xja4o sj 1cnrcca straight, level road and pass a car traveling at 45 mi/h. The relative velocity of yz/1 oc4(ex3j.cscekr, -l- jh jd 6anqour car to the other car is

  You are trying to cross a river thata9)ob vbo f)pw)w73kj flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You shoulaob)3wk)7opwf9 v b)jd head your motorboat

  Your motorboat can move at 30 kd*e+-lt 7pqnwm/h in still water. How much time will it take you to move 12 km downstream, in a river flowing awt*dn- 7p ql+et 6.0 km/h?

  Vector A has magnitudebgpp2q * sc )zp/ykh5+ 8.0 m at an angle of 30 degrees below the +x axis. The y component of g* +2pbqpsp)5zc/ h kyA is

  If a ball is thrown with a velocity of 25 m/s at an a8 rlcbpwou; 0-ngle 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 directi.,g ttgvma y08on north of east and you end up 2.0y,t 08vgg.tma km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a sv 6ivmtn d4 2h715j ro3+zmnkd xe40fmpeed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The anglomzdv1mm +4 6d4k0r t23n i5nvx7hfje e between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long s1s),2c3uj* eq qwcvsm hadow over a level ground. At what angle is the Sun elevwe,jqu )q31* cssc mv2ated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively.y p91lt 2/cbj*8)el so,dvqhm What are the components of the sum of these two vectors?j2o9 t hc8e1vq* ,ydpb)m /sll

  Two vectors A and B have components (0, 1e.+ rx7 wgt)zu3krw05 ps/pm ynpzg4vv/*x1x) and (-1, 3), respectively. What is m gxzn w / x)vskr+u5pgpezp4vtw . 0m1r3x*7y/agnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C =45 n5rqb9/bx5oe,yqvt uh)s m A + B . What is the magnitude of4,h et9xuv5q /osny)m brqb 55 C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its disp rsikw(plol7)aw vf4 m+.qb ,us1j)2i, i:wtklacement?j( t f.lw)mi2aobkkviiw rl:uw14 s 7,q+ s,)p

  Three vectors, expressed in Cartesian coordinates, are))6dfd;hzr ga
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 1am(il g935z*tac o zvin Cartesian 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.zf3mx5loovn 3 o/8m,qvl z cd(/p9g s80, -8.0), what is the magnitude of vector C cxvsm/ 8vp d 5oolzm38f9 no(q z,3g/l= A - B ?

  A runner runs halfway around a circular path of radius 10 m. b5 m7-tubzxha;u j-g- What is the displacement oj-bmbxu zg- -h;75utaf the jogger?

  Two forces are acting on an object as shown in Fiml; cc pr/95hkg. 3-1. What is the magnitude of the resultant fop k5lc; /mh9crrce?

  Two forces are acting on an object as shown in Fig. 3-1. What is the directionm/ .w )x:etzox( qz3kz of the resultanttwx(ezk:)z.ox3 q m /z force?

Vector A is 5.5 cm long and points along the x axis. Vec .gy gio*h9z6ktor B is 7.5 cm long and points at +30e tygg* zhoki.69o 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 poip3 v (.ezy7wtfnts 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 th m 3p9/av a 9zw7yq3as*6hgxskt3r4pne edge of a cliff. A stop watch m4r9pq937zs k3v w /63ntgah s*mpxya aeasures the stone'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*xv cx2+0*keb. isq kl velocity of 10 m/s, from a bridge. It falls 20 m to the water0xe+ v 2q*lbskc.x ik* below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m aboi q7apwxu).ooa(a 4(tve the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was itwutaqop a( 7ax.(4) io thrown?

  A jumper in the long-jumn8 7a2rwb(h 0fu ymy8xx. vb,hp goes into the jump with a speed of 12 m/s at an angle ofrx8yv( hxhmu 8 f.0b,yn2 wba7 $20^{\circ}$ 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 1a4. .vogj.pq;uilu9 n2 m/s at an angle ofuu.p.v;q.l ia jno94g $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initiayfu fcmo f;4z9 cxmi-x8(1c6 kl velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched witxhgd8t .o) ;pr4r*:ar; bc: frumrt(v h an initial 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 fired at an angle oek haw tm8*s//jh) vif7j(n2 kf $30^{\circ}$ 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/sj96n7 v myru +n9ray8xe. ax8e from the roof of a building 55.0 m ry n97naj 8+ev9xr.myue 6xa8 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 grounqsczcyin5 3 8oy2 -a/kd level with an initial speed of 55.6 m/s at an anglezy/3-acyki5co q 82s n 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), you can run a 15(iey7; rp8 ezw+ cm)dx()j cpn00-m race at a velocity of 4.0 m/s. If you ran the same race on a dayd 8(py;cj nr xwm7()cie+zp)e 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 speed of 200 m/s due North, and is in a wind ofri8.g3rx5ae2 0zhhpipwm 0 e. 50.0 m/s to the West. The plane's speed relative to the grounep3 h8xw0 meg h.r2iai.pzr50 d is

  A plane is flying due So83 c ji4gpx8ikw ,vjj1uth ($270^{\circ}$) 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 ; hdb20y:a (eni)gselis 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 projeg xc4t;; m-ziau/,-rzk 0 chwsctile with speed 50.0 m/s i-cs-cw /uag 0xz ;z;kt,hrm4in a forward 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 across a r vf+fo:40 zvoeiver with a current of 6.0 m/s. Whvvof:+40ez fo at is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move -s+ twa0c pr2q*c q:unat 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current narc q2s* +wp-0qt:cu flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat thafvba0-x9 9e 12dlvdr st can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the currentvvd rx1b-2le9 d09sfa flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river g :s5qt(g8acm 5wij+k200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m.gq5m:8i kcjst(w ag 5+ How fast can she swim in still water?

  A swimmer heading directly across a ric va22jlmi5nd - (zi.cver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is-mjdvzi.c 25lnia 2(c the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim ulas ,ih-y w ju12ce-d9pstream at an angle of1el9 sjh,cy2w--duai $26.3^{\circ}$ (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.