Which one of the following is an exampleb3-7ye33.pt)ixq sg q)zw hjy of a vector quantity?

  Which of the followinzwjb08di m07,kg n: tgg operations will not change a vector?

  Which of the following is an accurate stae2 ) 0zmggy d0y93imistement?

  The resultant of two vectors is the smallest when the ango8xvwk lnmgf56b4lt5/3d am cl3 ,au.le between them is

  Two displacement vectors79(il h 95l*r1 kj8,rwul9rthcvcvlz have magnitudes of 5.0 m and 7.0 m, respectively. When these two vecto* rl85h kv(,cv r9c hllr71ltj9u zi9wrs are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are *h2xk7.(u t o l1vpolpadded. Which one of the following is a possible answer for the magnitude of the resultanl po(2xv t*kulph71.ot?

  Three forces, each having a magnitude of 30 N, pull on6 tp2o hr.f ir2tgiqe)n/+p ckb0x(f8drc -y: an object in directions that oifrcn :y -rgk2 db rqf (+ti0.ph/2e8xt) p6care $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectorr47+l(;pq3-t-dv q dyaaq wwg is

  Ignoring air resistance, the horizontal component of a projectile's e4+ e(q*phki6ywzqm 0fl0c t/ velocity

  A ball is thrown with a velocity of 20 m/s a/k *qvnrwrf8. a ngy5,(aq4azt an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of itskav 4/rw5n(8a ,zgaqf*r .ynq trajectory?

  Ignoring air resistance, the horizontal component of a projectile's acceo- ) tgt72j1/iph:zhvj2p ymc leration2t -h)o/:2zjy 7pptcv himg1j

  A soccer ball is kicked with a velocity of 25 m/s at an angle o6erq7;946ecgpv ie kvf $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vej/hq ny6ab4 0/bh7qs:w bl hp4ctor of an object is directed anti-parallel to the velocity vector/bq lqp/jbbh:h4h7s anw64y 0,

  If the acceleration of an objecrzry 2a1j;lpt-m2e d-9 8g-azldnp *vt is always directed perpendicular to its velocityra8ledlzzj ;-a n22p9y d1p--gt*v r m,

  At what angle should a water-gun be aimed in order for the water to land pngx/:9,h dbv with the greatest hp:g/n vdhbx, 9orizontal range?

  An Olympic athlete throws a javelin at four different angles adg,+g2/ gzg/oq sphnf9ob9 4rbove the horizontal, each with the sa/gf,n 2 ordg zo+s 9h4g9/qbpgme 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 gr7n3i)egz s1)par 58icx7ldyi8 llb z;1y , xball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared tlig 7 )rps d7 rn3l 8z5z; b8xceia1igyl)1,xyo your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angl+(3 l/qs wu9 rlbvd) n-xsq;vce 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 go vajr5nc+yd5 yvo 885zal attempt reaches its maximum height, how does its speed compare to its initial sjaor5n+y vd 8zv55cy 8peed?

  A stone is thrown horizontally from ths+j,qim0 o )n; qrmg 5ud9db)xe top of a tower at the same instant a ball is dropped vertically. Which object is traveling faxqgn)mmr d,0qjd 9 +ub;)oi5sster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a se ok/n+ l+eaqm3cond bullet is dropped from the same +qol3/men+a kheight. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontall3 3uprti6m;ow y 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 3iprmw;t3 6oupackage. How far apart will the two packages land on the ground?

  A package of supplies is dropped frow+ grlm3p8l c;m a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the fallinw8 ml;rgp3 +clg packages will

  A pilot drops a bomb from a plk)fh (t1-ubh pane flying horizontally at a constant speed. Neglecting air resistance, when the t )1-bu(kh fhpbomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-70smp ri h.d/8howpe7 sixth of that on Earth. If you hit a baseball on the Moon with the sa/o d7pw87s rmh.ehp0ime 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 a straightll,m,;1iyi:v6 oq7h(ig(x mbjqeb .j , level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the otbvh1bjm : .x og(yl;m(ijq eiq,6 7il,her car is

  You are trying to cross a river that flows due south with a strong currewvsc )yl *ii2:nt. You start out in your motorboat on the east bank dess)wi:l vc *yi2iring 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. How h 8e1wwccmui 8u3q )b,much time will it take you to move 12 km downs)iuhwuq,381w8 mcbce tream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at jeks,-ovc1 i-an angle of 30 degrees below the +x axis. The y compon ci-1-e jsov,kent of A is

  If a ball is thrown with a veloc7p9urrn 9gw2-i a.zfcity 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 you end uevcva4 (p*p3c12ko as ;e*shd9suuo (p 2.0 km north and several kilometers east. How many degrees north of east have(vsc1 *o39 aad4 ;uvsekphoe2 s cup*( you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of itr+*vh4tiv +.l jioh7df )ra(ls velocity is 8.00 m/s. The angle between the directionl) *4 l7 airr t.fvhj++hiodv( of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what an22ibv8az4a4enen y vfdld2/3 gle4y3i efn2 zdnb/2ve8advl4a 2 is the Sun elevated above the horizon?

  Two vectors A and B have compob x fk 9iqizo):b2:ma 3y9/qkrnents (0, 1) and (-1, 3), respectively. What are thq9mo f9k/ : kiybq:)2x3aib zre components of the sum of these two vectors?

  Two vectors A and B have components (0,e1 r-sktd/zk9if81 +yoybj w: 1) and (-1, 3), respectively. What is magnitude of the sum of these two vec+ 8t 9jyf/zi -e11kdy:brow kstors?

  Vector A = (1, 3). Vector B = (3nz8vn3 l8f c .c,s:gbm, 0). Vector C = A + B . What is the magnitude of C nmlcbz3v. :gn,c 8f8s?

  A car travels 20 km West, th px pwds:2/0b9vrz(dgen 20 km South. What is the magnitude of its displav:s rxd(02bdzp9pw /gcement?

  Three vectors, expressed in Cartesian coorditr67jyi)yc z / h*o-bze ub82fnates, 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 C bd,o 9pxtr +h/ttx.ng0u7 u4oartesian 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 b;m6r xe) crnb3y,o**c idc9gvector B = (+3.0, -8.0), what is the magnitude of vectoromcx ,3 rbin6*r y)deb9gc*c ; C = A - B ?

  A runner runs halfway around a circular pathik-s 7w auq,++z.2krf+ kotm q of radius 10 m. What is the displacement of the joggem 2wi, akk+oq.+ -7uk+rtfzqsr?

  Two forces are acting on an object as shodfxo mi9d6-.bere * n6wn in Fig. 3-1. What is the magnitude of the resxf di66-e*o. 9nmbderultant force?

  Two forces are acting on an object as shown in Fib5a r,o dvg05mg. 3-1. What is the direction of the resultabg5 d am,5vro0nt force?

Vector A is 5.5 cm long and points along the x axis+o k bu;a n1,5+3 el5ckajyiar. Vector B is 7.5 cm long and points at +30e tol;,ra5necu by+k5k1a +oa3j i 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 point tx(rp pz-1dork1a:( nbz5/ f:ldo -jis 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 edge 5y 4w-b c9 :*einr09lvzvsq etof a cliff. A stop watch measures the sto c5irv :e ve tbw-ly49z90nsq*ne'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,s1fen: 4,qo,vv 0 cuep with a velocity of 10 m/s, from a bridge. It falls 20 m to t1nvcou, ,qfv4spe e:0he water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the n,8o usveu;:at/m tg e)4qvt0 ground aft;t/gmntqe0s:e o)8u,vu ta4 ver traveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the j9.q8r f pndg2d+lk -xdump with a speed of 12 m/s at an angle 2x+8 dp .krl-dfnq9 gdof $20^{\circ}$ 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 wij et;: gy4r;6oiz* rfxth a speed of 12 m/s at an angle of :;itgo4 ryx*e 6z;jf r$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at annd/wpbu5 j44pf) ux.d:)o*a;pizqik 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 angle of f /;8i7qc)qbv dk /mbq$30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fi --pi 1aj nx+kj/m2/ql8kp+mchldg;a red 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 buildiy- j:wvo1 (tvvng 55.0 m vy(1twv-o vj: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 b;x;d*y1br jv/(y mtr speed of 55.6 m/s at an angr( bv /ydb;;myj*1x trle 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 x(1j xl1plrk4/o-*edydf 0zv run a 1500-m race at a velocity of 4.0 m/s. If you ran 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 takyvpx -/d4dok*ex (l 1r zj10fle you to finish would be

  A plane has an air speed of 2ggp)c.es,7h m3n oj) t00 m/s due North, and is in a wind of 50.0 m/s to the West. Thpc sgg7em 3.ht,)jn) oe plane's speed relative to the ground is

  A plane is flying due Soutd -iq3n+dy9 ryh ($270^{\circ}$) 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 kmziuxq.l:h9,.4, rpwgkkr7y t/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 projectile with speed1n(,l s6*0 hn5 iz3 vtef uufxcr3kwk3 50.0 m/s in a forwakf 3 c5s,fnwzn v 6ltr3e*uk0ux1i(h3 rd 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 stily/gt7z n,:b ;se ;pyrxl water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is ths/n,b7 pgy:yzr;; etxe speed of the boat as it crosses the river?

  The driver of a motorboat tha ; k- pobftjipiax-8+2t can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current8- kfot-pp a+jiixb2; flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can ;/ddcsxgy bz:0em 9wp8: o(pm move at 10 m/s in still water wishes to travel directly across a narrow strait in wd 0;bmp9s ezw cy8d(p/go: x:mhich 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 yvfraf1f6* yy/ug+ 8t1t4rdk200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can 1yg+t*fa 64ky/t1fd rr8 vyfushe swim in still water?

  A swimmer heading directly across a river 200 m wip7 kd yj;g-q+dxpf.y6de reaches the opposite bank in 6 min 40 s. She is swept downstream 480 p7gx p-;qjyk6dydf.+m. What is the speed of the current?

A boat, whose speed in still wan0 mf)1w;ejstwzo l/ g8:x: ydter is 1.75 m/s, must aim upstream at an angle of w o;:)nmz 0ls8/ 1xf:twjgyde$26.3^{\circ}$ (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.