Which one of the following is an mvu12bzu/c k3example of a vector quantity?

  Which of the following operations will not jvpu5ipe 2ds z00- +zus- 5lcg ;j-uqichange a vector?

  Which of the following is an accur(owmxw9i 6wgc//m3/ n pijr1vate statement?

  The resultant of two vectors is the smallest when t*d8t 36kzac v 45:sdfk nc5qq hhl(tc2he angle between them is

  Two displacement vect) lvdltb :tzctdoa+x 1(:qy *5ors have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, ctdztol: y(l*)dbq1v+5: atxthe magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the followinl0be0g sx ym-q4((cggcm + wj3g is a possible answer for the mag sqc( g+mebl-ggjw3(yxc0 0m4 nitude of the resultant?

  Three forces, each havinalha.h 4ysqr 7fa(u) 7g a magnitude of 30 N, pull on an object in directions thau)haa.har(7ly47f sq t are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown.n-oc *t9rqq ,kommv 2 vector is

  Ignoring air resistance, the horizontal componenzwry91 .bc uf)t of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the *3aene z,0n :avvrw1 shorizontal. What is the horizontavee 03sw1avna:n *,rz l component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizonz ,0l,re 0csl.bbnf9fk xy 37rtal component of a projectile's acceleration,l3z7fbn,fx rlrcebk y09.0s

  A soccer ball is kicked with a velocity of 25 m/s at an angle o,v k)tls3;epj f $45^{\circ}$ 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-pardo3 +xwbfyel.n9o+fnt ,vl 48allel to the velocity vector wly4xo+b.fo nv3e+f 8l,9dn t,

  If the acceleration of an object is always directed pe h1lkehw*8 c9imvn1n*rpendicular to its velocity,lw*cni1k n* em81 h9hv

  At what angle should a water-gun be aimed in order for the water to)2tzh4zp p4vx land with the greatest horizontal 4hv)2 4 tzpxpzrange?

  An Olympic athlete throws a javelin at foursr 9l;(-mb5it u gta;d different angles above the horizontal, each with tt s5 9m;g;itdla-ubr(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 o 4(8ovtnq/iga (w61 (l.x d qbbx-hkeball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (o x (i 6(hxgqkboa8 (/.dl e-bntw1v4qcompared to your first serve) would be

  A ball is thrown at +2 ,rzzxkk z9a44z yx/c-4g.xkttbr zan 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 maximum eb mro :nn9.m2height, how does its speed compare to its initial sper.9n :o2nmb meed?

  A stone is thrown horizontally from the top of a tower at the same instant a b/41 iqzk hefdl05:cs ball is dropped vertically. Which object is traveling faster when it hits the level h k5 1:ds4 c/fbl0qeizground below?

  A bullet is fired horizontal *yi rgb7gkaire4m*:8ly, and at the same instant a second bullet is dropped from the same height. Ignore air resistm8 rg:4r*iikb* ya eg7ance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 58to mldf/u96, mux-hb7w4w yo 0.0 m/s and at an elevation of 160 m drops a package. Two seconds lateho8bx 9tou4/ ,df w7-l6mwymur 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 lat s1 jv15b, r8zwm;buzc*z; jjier a second package is dropped. Neglecting air resistance, the distr;b z bisz 85vj*jj;czm1w,u1ance between the falling packages will

  A pilot drops a bomb from a plane flying hor:ldi f(za b 0lsep));yei f7.dizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the hori d;.)l0ea 7ls di:)p yb(ezffizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. ljwv 10g+o,.u5w (a 6e brmtmb If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the bmw,jtubw+e 1amvr05 gl (o.6 ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level r d*)-m fr k4,hb7suepkbp3qt*oad and pass a car traveling at 45 mi/h. The relative velocity of your car to thb h,7d3)p mek*-t *p bukrfsq4e other car is

  You are trying to cross a river that flows due south with a strr93ryv:uru- c ong current. You start out in youcru r-r: 3y9vur motorboat 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.34qffei7q k k 8gasj1b;c1si7ekxs. - How much time will it take you to move 12 kmi71q kssg3ejq1;kxa c sb-f7 if.k4 e8 downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below they 5a(p z ;*:lqwa;m,)q mdxocx +x axis. The y component of dzq*waoc( :aypx;mx m; l,q)5 A is

  If a ball is thrown with a velocity of 25j7q/9 m-b0 ;lnhe zmdwc np)okq/6jx 7 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 stg/oj(x)b/l/)y*sxkt )x f pmrraight line in a direction north of east and you end up 2.0 km north and several kilometers east. How xgbf*lrsy))xxmpto) / (/k/jmany degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velj/t iqvzvrazr5pw *rp a.*8 52ocity is 8.00 m/s. The angle between the direction of its motionpa*5 rt *5 r qpjvwa8i/z.2vrz and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a +4ttf slusm6zr,7yrqk 2fr-) level ground. At what angle is the Sun elevated abovz ufs74m kf q,slrryt 2t-r)+6e the horizon?

  Two vectors A and B have components (0, 1) and7 x trosw0+7ys (-1, 3), respectively. What are the components of the sum of these two7s7s+x0 wort y vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectirfrv8z847am2 mm t)n mvely. What is magnitude of the sum of thes4)mnt 2mmfma 87vrz8re two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the makoc ( /ow)xsk0qu;l, ugnitudel, uk;w/uqxc o0o)s(k of C ?

  A car travels 20 km W/ qxk1ydwdm1(kru3 b;est, then 20 km South. What is the magnitude of its displac( bx/dk rdmq3u11; kwyement?

  Three vectors, expressed in Cartesian 9ihg;za 2h.gycoordinates, 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, ardi*ra98asp03+ux gaxi o0s lmrx2vl4 a3- rf/e
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, 51aw+x-jhb a v qun.u2.nxon i4qri2 magnitude of vector C o.5q jnw .21x naabi4qv-hixn r +u,2u= A - B ?

  A runner runs halfway around a circular path of radiutu7y82 v+kak es 10 m. What is the displacement of the jogger?ak+ u8ytk7ev2

  Two forces are acting on an ob7hhqhm jzc87 *ject as shown in Fig. 3-1. What is the magnitude of the resulth7m7zhc *jq8 hant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is zq5kil:hy3q x58d z 4rthe direction of th5 8zrx4:53 qdkqliz yhe resultant force?

Vector A is 5.5 cm lo0oiu o m wir:2./rfun ,.z(hq z;oa3snng and points along the x axis. Vector B is 7.5 cm long and points at +30e to the f ,i(rq:.;0o3o2 h usz maino.w/uznrnegative 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 poin3qg)w t/avwu9l-02bfqy0rek ts 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,jtp l,v, pl.:b rx)rdnmv3k e+ys4w 9 edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff tom,3dty,,lbve 9k .wnr) vlxp s+ p:r4j the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. ptum bm4mk n .t4pl*ic08m 9)lIt falls 20 m to the water below. bt8tkcmnm u4m0.p4* i ml)lp9 How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above thpv t.fp2x9t ihe 5v 7f0w26ypge ground, strikes the ground after traveling horizontal wgv52ffxi0h p7ep6 vty2 pt9.ly a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump withy1q xl.(rb7 2e e)ym-akxue7h*z3osq a speed of 12 m/s at an angle of m(7x*k y rbol.3 hse)1qxqya 2ee-7z u$20^{\circ}$ 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 7t z td26;mtv m0gw*iuat an angle 6*m0t v dti z;7mtw2guof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wi 14oh67xpdryxth2zr.th an initial 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 with anjt u6xn0ump. m4 mam6; 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 ,a81 jrw dcz2(g,dzvd 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 fro3dkc /,:c0de im,*bev1nfg hb e7h)t wm the roof of a building 55.0 m t hdet/30 b1enw,c)fkv d hi mg,b*e7c:all.
(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 at ag:0jbdhcqn bn1y su1 :5 4l-rwn angle of 0qsd ngnr-wb1j:5byu1lc:h 4$41.2^{\circ}$ 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 atw95 i psep+z d3f,8 0qpfi 6m:obdupl; a velocity of 4.0 m/s. If you ran the same race on a day when you had a consta pfip i:pdd,0pm slo; 59b86few+z u3qnt 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 of 50.plh d fx(/ k6z5ik.(v9dav7luvj*ky30 m/s to the West. The plane's speed relative to the g6kv5x* 3.dfz(hi (vk/dlj 9yplkv ua7 round is

  A plane is flying due Sou 1;gqornsz9 (qth ($270^{\circ}$) 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+op ld2z;19or au wm81x2uyur 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 projectile with speed/;;ck2a :j scf j3tkluq7d* lb 50.0 m/s in a forward direction q;2ck j*adbsc;ft73: /uljkl$30.0^{\circ}$ 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 directe* 3uk-ia52e ye)zn5jkyfqi a9 d across a river with a current of 6.0 m/s. What is the speu )iye kk-y9f*32j5az ne5iqa ed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10lwfc3;v, i2/wml7tct m/s in still water wishes to travel directly acros t;vwml fwit7/3lc,2c s 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 th fd9oj7re g9br+hv. i;at can move at 10 m/s in still water wishes to travel directly across a narrg r9;7ihvf9+bd o.jr eow 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,u*gc: i, kiwns 2p;j *;fqoaj m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in stilq*fn jwi,2c*jkoag ;i:;, pusl water?

  A swimmer heading directly across a river 200 m wide reaches the opp)dzfucw kq6 4,o(sbs)osite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed(w 6,))s q zfusokdb4c of the current?

A boat, whose speed in skhl0qsx--fx; h1 feg5till water is 1.75 m/s, must aim upstream at an angle of hf ;-1f-5e0skxhx qlg$26.3^{\circ}$ (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.