Which one of the following is ano(8*wrck ko *f2ekwjob8 g i8. example of a vector quantity?

  Which of the following operations will)1f gae8 6 z0pvokj*ce not change a vector?

  Which of the following is an accurate staizs 1+)1p8ivj ed *ulltement?

  The resultant of two vectors is the smallest when theoo7wv3j9bj 2bt 0v8nq angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, pvwbg2w 5yx))vv wv,6 respectively. When these twowv2w pg5w)b , vv)6yvx vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 bntv8t/7t(el24yajkand 50, are added. Which one of the following is a possible answer fj 7vy 8na4l(2/ebttkt or the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an obje w 7tv+g7 cr(twtmwu)/ct in directions that arer)vmw(/ 77uw wt+tgtc $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vedwagii +) m5t)(-k yc/g oad5mctor is

  Ignoring air resistance, the horizontal component of a projectile'sgu xk,uin5o +, velocity

  A ball is thrown with a velocitq ss.:-9zj byiy of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous ve.yj:qis- szb 9locity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal cod hz94h krx+l8 oqj)-vmponent of a projectile's accelerationr+9o khz 8dx jh-)vl4q

  A soccer ball is kicked with a velocity of 250f(ag/wqnbqj7 qv*e6fwha mo;51*d a 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 object isq34+g p1bbp zg(* eayw directed anti-parallel to the velocity vector,4(qze1ywg3*pp +a b bg

  If the acceleration of an object is always dir ruka6*p)n 7*divtfbvw h;3 .gected perpendicular to its velocit.v)b*dwuh;f t3vi pk7rn* a6g y,

  At what angle should a water-gun be aimed in order for thefjo*( h;f+-i cmvq9ze water to land with th-h* v;qzoj eif+m f9c(e greatest horizontal range?

  An Olympic athlete throws a javelin at four different angles6afg y))ns nl5 o1ja0w above the horizontal, each with the same spe10jn gn)5 f asalyo6w)ed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball foruk36 ve z c,,dmi :uztcmqlgu6 .-b/z* the second time. If the ball leaves your hand with twice the v .l,u3ezi/dk*:6u- ,mmv cb cqgzt6zuelocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8ed 9op*jarey(g 9+hep9bc * 4e.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 fielz+tw2 :4k3hzw;0d1ptjrnq e ed goal attempt reaches its maximum height, how does its speed comp+t r4ewe:h13;n j0q2zdzwk ptare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant akd53) dqeai8 kc*,ut q11 aybb ball is dropped vertically. Which object is traveling faster when it hits the leq d,1ukt31a8 adeb5q*k )icybvel ground below?

  A bullet is fired horizontally, and at the same q29*;ew1f jv zkaggq. 77uravinstant a second bullet is dropped from the same height. Igf w;ug ak2rjazve qgvq.*7917nore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontal:u ffz4gdnd-d ow p+(2ly at a speed of 50.0 m/s and at an elevation of 160 m drops a package.-d:on p2fwg d(4 zf+du 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 z(esd2gc +f;d gr5kw4second package is dropped. Neglecting air resistance, the distance between the;wkz 2dg4c(frs5e d +g falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant3ppn9. m49xk: swcgey speed. Neglecting air resistance, when the bomb hits the grs 4n:9p .pcexw3myk9gound the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on E/n (wy9 3ucurparth. If you hit a baseball on the Moon witur9n/w ( uy3pch 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 a straight, levelyt3+0os/j6 v nqz4 ez3mjaa:i road and pass a car traveling at 45 mi/h. The relative zi :va0 n3j+so3/tq m6jazye4 velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong current. l /lpf7lkxdr.d 5+v+ j You start out in your motorboat on the east bank desiring to reach d lx. 5/vj+prll+7fdkthe west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in dh.6vb+orz*-t2r f ),mfy 5cm2dyp bn still water. How much time will it take you to movoy )-6d +mhcv,*prmff5. 2y 2bdnbr zte 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m atfsq0pvu.4p 1jk o1r7g an angle of 30 degrees below the +x axis. The y componeno1ks4gujp v7.r0fp1 qt of A is

  If a ball is thrown with a velocity of 25 m/s at p 85-ropu0ay u grk bk m4:kg90qb;z2gan 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 yopir 8 :p+v 6 6xsd(qmewhhq1z4u end up 2.0 km north and several kilometers east. How many degrees north of east have4qv(d h m6 1pewiqpshz8r :+6x you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component o7demqa.y68 ,x md8 dckf its velocity is 8.00 m/s. The angle between the direction a8.7m6 8ydx q,dkcem dof 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 angl;n +x0mwpy 03fn bk3i/zt 7twze is the Sun elevw03zptmwt0nb;n3k z/7 i xfy+ated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively :m9uf f:4 ldt4s2vmmn. What arev2494f ftl: d m:snmum the components of the sum of these two vectors?

  Two vectors A and B have comyu)tscy/su8s6u,1 e dponents (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two ve/ t 8cu,eyud1u6s) ssyctors?

  Vector A = (1, 3). Vecty49x qx+q/t bior B = (3, 0). Vector C = A + B . What is the magnitude of Cqxq t9b+y x4/i ?

  A car travels 20 km West, then 20 km South. What is the magnitudd7ugwtx- vr9 u,i o:-ze of its displacement?-dv97 rg wu, tz-o:xui

  Three vectors, expressed in Cartesian coordinatejd 5inu.4or4e s, 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, area2 mm3/ a,wmby1v6pqj
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 Boqyxj .x 2mpqxs2d z sy;66;;/0zdlw e = (+3.0, -8.0), what is the magnitude of vector C0w ;epxms 2y 2xzjqd6dzyq sl/x. ;o6; = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is cj cia)90wdfs;sx *q 9the displacement of j*cs si 99)0 awq;fdxcthe jogger?

  Two forces are acting on anve 2akgy f1 dk)0t+dd0 object as shown in Fig. 3-1. What is the magnitude of the resultant forc e )k2g0vdf+t10kdyda e?

  Two forces are acting on an object as shown in Fig. 3-1. What is the diraco,f5wz/d 32ublov( ection of the resultant fora/ clov,z duw3bof2( 5ce?

Vector A is 5.5 cm long and points along the x axis. Ve n0yk5a (5vpofctor B is 7.5 cm long and points at +30e to the negative x axis05p5kv(nyfo a .
(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 8j8cyehb +,n wat $30^{\circ}$ 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 eflknw ay5)hlz v/in64 t801 uvdge of a cliff. A sa6 4hk8wilznut0 /vn y) f1lv5top watch measures 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 horizod3ddb+ ,cn1 fantally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How ,cf+db3 dda1n far does the rock travel horizontally before striking the water?

  A ball thrown horizontally fr;l/,x w hhk 4oyh5,xcmom a point 24 m above the ground, strikes the ground after traveling horizontally ax hhmx ;4cwo, ,ylk5/h distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump m3t(7 zgypz*.; vg apmgoes into the jump with a speed of 12 m/s at an angle p tgmz ag;p .7v3m*(zyof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into vamz0y;p9.anzsj 9 g ,the jump with a speed of 12 m/s at an angle mzpnv,j yg 9a9 ;0.zsaof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an / jw6cur2q5t6h7xh frp *j, kfinitial 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 an initial velocitytji- d iukq4qc*ikf w y;+v9(/ 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 firz op:pos b, tb)*;,ud/7gels eed 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 ag*4,1x29pyn jl uk ekkwo 053 z0cczwi building 55.0 m t nz3w uylk,k9g0c 2c*w45kpz01i xejo 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 lepox5nece,zj: a* w,z:m qk/2rvel with an initial speed of 55.6 m/s at an angle of :wzrxkep/nq ,*5m o:,acze2j $41.2^{\circ}$ 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 at a velocity ofw0-nf, x+f q189zxe13 r vvnmg q3boiu 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your sv0 mqu1n-nv+qe393x w f1gob8ix rz,f peed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of 200/-j fml65c-dq+s vszw5gy h,x m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speev-h5+fd-l y cs5 g ,wqjsxzm6/d relative to the ground is

  A plane is flying due Sfm:+djtk 6j +bouth ($270^{\circ}$) 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/yt0e r,6wc u/oh 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 pdk.(s8aggd l) rojectile with speed 50.0 m/s in ag(dg.d8k)a sl 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 river with ap-fjbnl 2 nyyh40x0w8 current of 6.0 m/s. What is the speedyl2n4pjwyhnf8-0b 0x of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to th;un j oij,9wtp*ar5 d,c;q3s ravel s3j;h9 ,u5jo t*q;pnriw,caddirectly across 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 motorb+dn9 8bcw3lxds 8.pr hoat that can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. xpb98dhls+8 cwnrd3 . At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite 3r v2. ix9hyqb1x*7 adf(a5jr g djfb*bank in 6 min 40 s. She is swept downstream 480 m. Howv9qaj*ry.r b5i x* f7 2 a1hjxfdg3b(d fast can she swim in still water?

  A swimmer heading directly acr 1z3pg c8c 6gatp+s*anbs4-zross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 48 aggnc+rppts s *ca1-bz 3z4680 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upqk6 nlhg, (i*2e +v2q 3qfib q-k3hbrhstream at an angle ofrvq k+ h6*f-33ih2e2iqnh g l (bqbkq, $26.3^{\circ}$ (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.