Which one of the followi 7:pa*0o : 1ys5qt*tvk wnfuazng is an example of a vector quantity?

  Which of the following opdp)kek7+v p j3erations will not change a vector?

  Which of the following is an accurate statement8xz)) w zrhy2k?

  The resultant of two vectors is the smallest when the angle bu*h s*i)ykr/wh j0,g setween them is

  Two displacement vectors have mag ly* ,1fo(abeonitudes of 5.0 m and 7.0 m, respectively. When these two vectors are adofy1(o l b,*aeded, the magnitude of the sum

  Two vectors, of magn,h 8s+to6cxfb;y0ej xitudes 20 and 50, are added. Which one of the following is a possible answer for the 8 xyh,t;0bc6xo + sfejmagnitude of the resultant?

  Three forces, each having a,mki5l**d rx2hwln12q /w hto magnitude of 30 N, pull on an object in directions that t2dlhw51qm wix/*,kn* rho 2l are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vect-hn l68r *bo-v4n cb qc7egk,aor is

  Ignoring air resistance, the horizontal com0q93qmt;w +kt:h r+tw1ecd oaponent of a projectile's velocity

  A ball is thrown with a velocity of3 -xipzu g7obesr8f5 , 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exa-foe873b,i5rspgux zct top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectilb-ik, nn 9nj5z7 hurj3e's acceleration39ikrun7j n5 -bn,hj z

  A soccer ball is kicked with a velocity of 254l/v5 fe6k up2qtwv q l1 )f3b(wdc-nb 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 vei2tyszrc; u ws3*a.9a ctor of an object is directed anti-parallel to the velocity vector 2is. a9asur*ct3;yzw,

  If the acceleration of an object is always directedmqy0 f2y5:ew: vyw ; z;wb9dal perpendicular to its velocityzly 5wyd92 ;wv;:waq0efby:m ,

  At what angle should a water-gun be aimed in order for the z2c*-hacin3eto*7 g dwater to land with the greatest hog-te c723 cz*d*ihoa nrizontal range?

  An Olympic athlete thw1l l-cvkq;;d*vo 4pf rows a javelin at four different angles above the horizontal, each with the same speed: dkvp1 lqf;;o c *lwv4-$30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the secoep on+a4ury2q: s3* wdnd time. If the ball leaves your hand with twice the vs:+eup3*4w drn 2 qaoyelocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at ann:icu0xk54f7nkg 3p o original speed 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 goal attempt reaches its maximuw3(gg i4 n.v7fhwmm:tm height, how does its speed compare to its initial speedfv itw w7:.gh(n gm4m3?

  A stone is thrown horizontally from the top of a tower at the same instant a z wdh; pqbf f4wkb(3p,b(;* doball is dropped vertically. Which object is traveling faster when it hits the level gr wh z*fb,(3k qp od;f4wp(d;bbound below?

  A bullet is fired horizontally, and at the same instant6 8yri mrulhq.xa8m/: a second bullet is dropped from the same height. Ignore air resiima ym8rlu.:/q8x6hrstance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a ss *ti. ivwjwj -k+i1rlbz5d*+vxg p96peed 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 will the two packages land on the groundvk j rvb+diw1x9t*j56 w*p-gzl+ .sii ?

  A package of supplies is dropped from a x-mr80 t7hj9pwidfr 8 plane, and one second later a second package is dropped. Neglecting air resistance, the distance b89rj7hp80xd tf- mi wretween the falling packages will

  A pilot drops a bomb from a plane flying n rym(:t1hau zgx./.h horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane /hrytugn axm h1(.:.zwill

  The acceleration of gravcj0ml+xziyk a/l; gdfj21 a),ity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Mc,jalm21i)x ldkjga /0+ ;fy zoon 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 a d9scu ys01r/vxis relative to a straight, level road and pass a car try9 1cd/v0rsusaveling 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 uk ng;w x zq54z(tpb*,south with a strong current. You start out in your motorboz;g , nqp4kuxzt *5(bwat on the east bank 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 still water. :v5ibtu8m 6rasm *z h(How much time will it take you to move 12 kmr:ms85 hi *t vau(6bzm downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an g:ugf3 ds* s46fd(kvls6;velangle of 30 degrees below the +x axis. The y compvf dsu:*f4g66ks;v gl3( sdle onent of A is

  If a ball is thrown with a8yn y p(dhj 4:p+zj g2yx02bhn 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 in a direction north of east and v tu.zts c.n6f4m a9i,you end up 2.0 km north and several kilometers east. H.asvn t .t9,6ic fz4muow many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its veloci18-wuzsf5pihx 0y rt)5it(r lty is 8.00 m/s. The angle between the direction of its mizh8tpyl)1 5( tufwx5 -rs i0rotion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At wv4b6 c mgxnqx,7l5bv8 go/ mc8 5 v3oya;qpg.vhat angle is the Sun elevated above the horiobo56ag4g xv,nl/ vg8y vcbv.x53;qc8mq p7mzon?

  Two vectors A and B have components (0, 1) and (-1, 3), r okw9 ,91djp.ialg5dx)uspw sv27w 6uespectively. What are the compaw kw,.95dsdvplowu2ji1 )9p7s u x6g onents of the sum of these two vectors?

  Two vectors A and B have comp) pt,tyqo+p9ec .;:5e e5aqad qmpz h2onents (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vzpd o; y5thaq5 .cmpe ,pte):+q9e2aqectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the ma rrmi866vd5 :qnc: udzgnitude of C dz:d6mrur q vi:c58n6 ?

  A car travels 20 km West, then 20 km South. What is the magnitur;y 50 3p: f*aucphljzde of its displacemenpczp 03alf j;ryh*:5u t?

  Three vectors, expressed in Caxruxx:e) 8sdk)i.ll*9or i +lrtesian 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 coordinates, 7xbo:ymg ,u)zare
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, -4.0g2 pjib+3hh1 s) and vector B = (+3.0, -8.0), what is the magnitude of vector shh bjp +32g1iC = A - B ?

  A runner runs halfway around a circular path of radius 10nb ni+qsr;sam:t)i/3 m u8y (f m. What is the displacement of the ns3t +f m ;u/sm)ii(:yabnq8rjogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnf q3jr3(o g s/+a3nolkk/o0u+xnu q)u ys:(ucitude of the rko3urkc u/ + :no0su3gq(aqjyfxl3 (us no+/)esultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is taqh+1qa 7*(up mf zl:fhe direction of the result(+:hm a1fpqq7*ufz a lant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm lon;fu n88 mesbop )iej(4g and points at +30e to the negative xi p bs (m4f;ueej8)no8 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 cls( gjd6m j,b gn3mat*0om4gyr:a;6 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 ho64xlsk2ad r 6xrizontally with 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 cliff to the bottom to be 4.3 s. Ws2 x6k4lx6r adhat is the height of the cliff?

  A girl throws a rock ho v*s -wbm*-wlz,jlj6i rizontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel zllbj--wi*v w, mjs6*horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, s-- narsg zdp//9-ng9 gxlm-xa trikes the ground after traveling horizontally a -g - l/m9ran-pg9n / xzax-dgsdistance of 18 m. With what speed was it thrown?

  A jumper in the long-jump gocn;q. z95dn8e 05,jo-3ycd n hjq 8t2bhnswtv es into the jump with a speed of 12 m/s at an angle oczddhn-thc528 3sjwe j q,8b yn.;n 5o qn90vtf $20^{\circ}$ 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 sp/ xh h v9.xo;)j urlrc9yp bk*2px4so6eed of 12 m/s at an angle of o94jcx* r/hp psx; 6xy.okb hrl2)u9v$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an in3hb j:l3 ezpi2itial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launw/kg 9+5 drsotmk+q,xched with 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 fir uowwx3.i m2u-ed 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 roof of a buixr.xjs8w a/i 7lding 55.0 m xwxji 87rs ./atall.
(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 initir7xq ( w u-8edg;bs.kxal speed of 55.6 m/s at an angle of usxq8gkw7ed (r;. xb- $41.2^{\circ}$ 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 rac07ofjesr 6vnl7d3sumll7 z2) st(6uc e at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant hearlcn 2u)6 60z 777(ss 3emlltu fvsdojdwind 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 of 50.0 ob/99;ywj wp g .sf;lbm/s to the West. The plane's s s; wbf pg9y9o/jblw;.peed relative to the ground is

  A plane is flying due South yd+b7 l 96jjeb(f blm,($270^{\circ}$) 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 mx09p al/pub7km/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 m/s horizontally fires a projectilea zj,c 38chvhr41 kh:h with speed 50.0 m/s in a forwar hhj:a1, cv83zkch r4hd 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 atd:(cul; wg,l river with a current of 6.0 m/s. Wh;gw(l du, lct:at is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in stkyjtt w;o*s56oc 16kf nf9;qpz ai1+k ill water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How l*f;1+ 1tftwko j9yacnps6 5okk 6;ziqong will it take to cross the river?

  The driver of a motorboatueo cb8; ;h+qb that can move at 10 m/s in still water wishes to travel directly acrb;uhcqb +o 8;eoss 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 direo cd*-;mu(h) 7cgsytqq,bp+kctly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fq , qymsb d(ph*cc)t+g7u-ok;ast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the ozl6m/md) 5 d+wfxwmj1 pposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the)l1wwj mx+ /5fmzdmd6 current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an angle o utj ),y0sv. g2rif)sri7 jxf;f .ij 2);sr,tf y0isf7ujgxv)r $26.3^{\circ}$ (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.