Which one of the following is an example of a vector quantity16wwj. 3b x+eeulqal*?

  Which of the following operations will not change a vector iqzu;+i+u25/ ga6jo8t5ir0ug .khjcx fv ge6?

  Which of the followi9 k8ha5uc7rgtng is an accurate statement?

  The resultant of two vectors is the smallest when the angle betweenw:.bn:k mjwa , them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respdrrsxsu vk 5dzm,z5:(m mf700ectively. When these two vectors are added,krmdd55mz(00s mr:v,x zs u7f the magnitude of the sum

  Two vectors, of magnitudesddn pu; 4ko*8(d/qvze 20 and 50, are added. Which one of the following is a possible answer for the;*ddk o8pu nez(4v dq/ magnitude of the resultant?

  Three forces, each having a magnitude ofq,o a fqp0/n bwk0m1(s 30 N, pull on an object in directions tw1b ,0ofnmps/q k(qa0hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown gxtz(n :m0y/h5 viv:w, the unknown vector is

  Ignoring air resistance, the horizontal component of a . en9vezc.z+p projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e abo.s+8wx4z 3npmw ;szzz ve the horizontal. What is the horizontal component of its instantaneous velocity at the exact top ofns8+3.zw4 wzsx; mzz p its trajectory?

  Ignoring air resistance,*d (*+fze7g8 x*xvhe b snrgb*g -d:to the horizontal component of a projectile's accelerationg* o8d bzgbxe -(7x:ev+n**d* rsfgth

  A soccer ball is kicked wi6a/2 vg+b1 mm xrp.mutth a velocity of 25 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 vector of an objkzhl (xinuz(22n; q *gtpg-eat.n9 g 7ect is directed anti-parallel to the velocity(z2nxz gnhttl.p;2a (n-u*g9i qg7ek vector,

  If the acceleration of an object is always directed perpendicular to u 1 txpwa+;;r1brpakk 6 vd-o;its velocity a ;xkb1p+ vw1ut-r;rp;d a6ko,

  At what angle should a water-gun be aimed in order for the water to lac(j /+q / +:jiwinzuegnd with the greatest horizontal ( +ngjcq/i+ejw :uzi/range?

  An Olympic athlete throws a javelin at four different a 0-mdc7dna d.rngles above the horizontal, nm0c.ad rd7-d each with the 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 4b6dgh xfjf:, the ball leaves your hand with twice the velocity it had on your first throw, its46,gf hd:fjbx horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8 t4q xmw4 z86bj;8 3tvi+cwothhsz 7p*.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 jl-pulg :v4+- i bcre0goal attempt reaches its maximum height, how does its speed compare to its initial speev-ureb0g :-4c i l+lpjd?

  A stone is thrown horizontally from.448akdjmz sg sg g6t53mv,mn the top of a tower at the same instant a ball is dropped vertically. ag6,54ds 8 mg.jznsgm v4tk3 m Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the1*,/q+ gdtdz1ohnd d f same instant a second bullet is dropped from the same height. I+d*11qodz / f ngddt,hgnore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an eleva47qimvy;lzec *srz -s9:bn* jnu( t2g tion of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages land on the groutc z*uebm-l9n*q; 4r7 s:is gz2nj vy(nd?

  A package of supplies is dropped from a plane, and one second latelpz06)iv/9egzdxei-1 dxv1 x9u bh 6o6gyww) r a second package is dropped. Neglecting air resistanci)wu/o xlxx6 -i6g96h0dbze1ey 1w ) gvp9dv ze, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. d1 +: komlzz)wjhu/3 t Neglecting air resistance, when the bomb hits the ground the h d+wmok:zljuzh)t3 / 1orizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on k 5)vofo)hz9cEarth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the ball would land h5kv)zc9)ofo

  You are traveling at 55 mi/h in the +x a 4 xugwxu1b h13x.mi6txis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity h4u.1 wg1muxxib6tx3 of your car to the other car is

  You are trying to cross a river that flows due south with a strong current. x(d; cpbe7 /hy You start out in your motorboat on the east bank desiring to reach the west bank directly w7yh(d p/x;c beest from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will o;ye *a;b,2 jkik:owp it take you to move 1e:woakpi,;;o2j* y kb 2 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle o1 mt4kh9:lb8 ) lnzmuif 30 degrees below the +x axis. The y c lz t1:nk4lmub)9m hi8omponent of A is

  If a ball is thrown with a velocity of 25 m/s at an angle of l sq/7)6 a-hcty zg:kv1z l4bt$37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line5z fkglad), q3 v(jyz, in a direction north of east and you end up 2.0 km north and several kilometers ea)k5a,dgq , zl f3v(yjzst. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x;fhsxq)4bfxfn1dvo --yrx 5 5 component of its velocity is 8.00 m/s. The angle between the directionnxf r -d);-hv 154 fyfxxb5qso of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a le*vg2(x)1g0 kum 2j fzx-vl nkwvel ground. At what angle is the 0(-mu kj)f2w2zgl x x1g vv*knSun elevated above the horizon?

  Two vectors A and B have components (0, 1) and avdx9v5xyx8o:6 6o kd(-1, 3), respectively. What are the components of the sum of these twooavx: k 865d ovxyx96d vectors?

  Two vectors A and B have co569 qttt+k6l tucn,k/ c iwe50zq6z qomponents (0, 1) and (-1, 3), respectively. What is magnitude o e6t6 n/ wuqk,6l5t 0z+5ckiotzq 9qtcf the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnituddcr4 *758jzh pb;ot cjgr/ 0w.ik a,nje of.dn jgw, j8rc5cj thir /z0ao7k*4;pb C ?

  A car travels 20 km West, then 20 km South. What is th io3pd(urvs2 fmd 29h 24:d8grre v*sje magnitude of its displacrjfes 2h sru8dvgomi(92:*2p4v3 ddr ement?

  Three vectors, expressed in Cartesian cvzqc3- , 9cffml2f)muoordinates, 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 Cart v6i:3l4jrqc aesian 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.aw1j u*atcnxabj; x3)( -khf (0) and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - a(ku)wc n a-*x;h (bj jtf13axB ?

  A runner runs halfway around a circular path of radius bg i.d 9y6g (bbm *w.wl3;vhup0uh q:g10 m. What is the displacement of the jogg9dw.wyibg pv.0uh*ug ( 6qb3glmb :;her?

  Two forces are acting on an object xv2mn6nem+b+9u kb 20ija*gn5 ;n xhhas shown in Fig. 3-1. What is the magnitude of the resultant forc+9ux nnvbjmb m* knn; 0iahh26exg2+5e?

  Two forces are acting on an object as shown in Fig. 3-1. What is the di71awy qwfxbidoj7/i 8 0n3uz5rection of the resultant foq/1jw ufy 37i7inwbdax850zo rce?

Vector A is 5.5 cm long and points alongss j/)fvzo;. 7qsgqu1 the x axis. Vector B is 7.5 cm long and points at +30e to the negativsjvz)qo 7gf1 qus./;se 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 poins59t: y4c +:ubit z;rlbv1qfza7:gc c 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 u-.6 su)x: wic.x r0c:dm jebpm/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. Whm -rxis:.0cxd )6ejub:.p uw cat is the height of the cliff?

  A girl throws a rock horizontally, with a velocityb3e9tk;c l829ayd jb zjspp 5dv4o.d / of 10 m/s, from a bridge. It falls 20 m to the water below. How farectj4p8 dj;a 9osbdz2b3. ld5v9/p y k does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a8c m0xk 1vh7opzd 6b1l point 24 m above the ground, strikes the ground after traveling x7 h 1lkbod mv1cpz680horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes int6:g 4e +00jnx azkvrrio the jump with a speed of 12 m/s at an angle ojx+04 rea6 ikvgzr:n0f $20^{\circ}$ 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 g8noh-pj/ tm-efgp2 u*j/ uz512 m/s at an angle of-e// joppm5gu-*tfj g8u 2h zn $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an an)+i doh 0bw5op.s8ffxgle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an xh7bnnvka 4vi3:.5 sb 7ry/ dlinitial 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 a,za1pymp+j.gjwac m9 rj 6b ).ngle 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 building 55..of p/p7 lj8 1*eczrhl0 m tall8fc1pler.o jh7p *l/z.
(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 a- zwbv5., qyih4b jfj+n awfhz5+, -b.b4 yvqjjingle 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 dv-hhfv)l4z+.e;o wg 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 v4)+ewg- dhfvo .hl;z your speed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed 9hk5r/ liur3 hdj,6ssof 200 m/s due North, and is in a wind of 50.0 m/s to the West. The j, r9hhl/iu63sk5 rsd plane's speed relative to the ground is

  A plane is flying due South )urw/ci, t,oh ($270^{\circ}$) 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 kkmg s7ht 5u55fo)s s4pm/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 u3rch yc71b zd0f+ljfi )oo711gq*vgwith speed 50.0 m/s in aibzg30vojf*gh 7 o 17)l uccrfd1q y1+ 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, i qu . cyg,w107-a-uumshtt*:frjiho8,c8oz is directed across a river with a current of 6.0 mf:* ro. gwuc08zyqhut -7 i stuih-8 1ma,jc,o/s. What is the speed of the boat as it crosses the river?

  The driver of a motodi09)ogu6g3*m anzcycb : ky ;rboat that can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long wd a cgymcu n;zgb:yi*0 o96k3)ill it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in st-e),izcqvm i.ill water wishes to travel directly across a narrow strait in which the current flowsm,c qiei)zv-. at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m kkrjis9(4/b ay r (8 ush,mlbtey-v6*wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she symtiy4r8 vk,*l/ua(9 rb- sebjk6 sh (wim in still water?

  A swimmer heading directlp d,5yh 5b-fzwq di+n-y across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is +5ynqf,iw d-pd zb-h5 the speed of the current?

A boat, whose speed in0ezn77se -lm.g6y pbk,4qubv still water is 1.75 m/s, must aim upstream at an angle of .e6pb-0nqgmsuk , vl4 7bey7z$26.3^{\circ}$ (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.