Which one of the following is an example of a vector quantitymt (gq:1 *0b vw9fdgig?

  Which of the following oper fe;0li+// c) io6dv8j;ui* ujl xkydrations will not change a vector?

  Which of the following is an ac, dwb9pg:9x bw61w 4+sugbinqcurate statement?

  The resultant of two vectors is the smallest wx4kjle:zs s5 g,(qc.r hen the angle between them is

  Two displacement vectors have magnitudes of 5.0 3 b9 . pvjr3lj+nj9mdbm and 7.0 m, respectively. When these two vectors are added, the mrndm9jjb b ljv+33p.9 agnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Wh5s,-zt z2v2kn byexu* ich one of the following is a possible answer for the magnitude of the2 -vz25uysbk*,e tnxz resultant?

  Three forces, each having a magnitude of 30 N, pull on anw hf tzv*,6a6s.oa-qhwu j)q - object in directions th--qjo)aa6w6zh qwu.f, *st hvat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unh;)/wtzntqf: to:;wnc 4e nm)n.z yf+known vector is

  Ignoring air resistance, the horizontal compone8d (msgx /tbxc+6ay)knt of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle (2pdayo6yymm7 3 ofg0he1q58(--tu lqgja n sof 60e above the horizontal. What is the horizontal component of its insql ts-mm 26gnfja( o38eyuqy5ayg- (oh0d p7 1tantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's a: xeve*a; ml3q3 3jgavcceleration l:a33a veeq3* j;xgmv

  A soccer ball is kicked with a velocity of 25 m/s at an angpq4zjc d3 :ss,le 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 is directed anti-parallel to the j r.uqa), pmt29qaa7z pod-2nvelocity vectot9q27zanudp,po.aar j2- ) q mr,

  If the acceleration of an object is always directed perpendicular to its veafq5+g 545o(k mozi+rhsov 2y locit+ahko o5+grv 4f52zqi5 o ys(my,

  At what angle should a wah-3 tpyry sa56mir+ 0bter-gun be aimed in order for the water to land with the greatest horizontal ry5s 6irp+ah- t m03byrange?

  An Olympic athlete throws a javelin at four different angles above the horijbqja9:lyb03as . .blso.,g. jg3tg lzontal, eachl:a ,0lq.s.bo 3gljbtyjbgj.3s9ag . 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 theuujl 5 367dzhe57h ev:oo zo8e ball leaves your hand with twice the velocity it had on your first thhhuezo 6le7 57d5 ezu8ovj3 :orow, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an /h:9 a idytmj9original 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 os 91,m- y rx9xurwi1 xjct3ywfr/;i-reaches its maximum height, how does its speed compare to its init,r-yjcs- 9xu/fmo yx1 ir x3iw ;r9t1wial speed?

  A stone is thrown horizontally from the top of a tower at+:dsp.,g f rj0w7asat6g+ po nyu/:a sn5-y cs the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level gaaos:s :w +n+ng6/prj y.,7 pdac 0fsyugt5s-round below?

  A bullet is fired horizontally, and at the same instant a second bullet iri;gm/p1g 1dzs dropped from the same height. Ignore air resistance. Compare the times of fall oimp1r d;gz 1g/f the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s fgovq:ta4q,,.gh)s g and at an elevation of 160 m drops a package. Two seconds later it drops a second package. )qv,tfgg :4g.qoa, sh How far apart will the two packages land on the ground?

  A package of supplies is dropped f*84sj4pgdpbd mv62wlrom a plane, and one second later a second package is dropped. Neglecting air resistance, tjlg246 wb pd ms4vp8*dhe distance between the falling packages will

  A pilot drops a bomb from a pluk9kgc73y12ga-u iotv*o sn4( t wpd;ane flying horizontally at a constant speed. Neglecting air resistance, wdksg*coo9p;y(42 v3 u w1n kg-atit7uhen the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon isd/uthtstf(0 8 only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you w f0t/s(tuh8tdould on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis:a1agygw ju-; relative to a straight, level road and pass a car trave -ugj1a ;y:wgaling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flowz f*iy5sh. bghi3p. u0s due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting h.s g0i3yh up.zb*f5i point. You should head your motorboat

  Your motorboat can move at 30 kihs uao oj671sw21i +pbs i;)vm/h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/h?1o 6psb1+sva i7 h2i;js o)wiu

  Vector A has magnitude 8.0 m at an angle of 30 dzgbu ytw knsw:r, n)5,) /pul;egrees below the +x axis. The y component of A i)rs5l/uw) ;tnn:, kbz,pwyu gs

  If a ball is thrown with a velocity of 25 w;(:ru/ k-w2msx00xh mxyuw km/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 straightw8 m z(;pma+ 4vsb*hvd line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have b;(4mm* asv ph8zwvd+ you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component ofe mb/2v i,iw3wpmn6e3uee 69g its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis muspe36ev2wbng3 9eumm /ie6 w,it be

  A 400-m tall tower casts a 600-m lo7ln5ypg 6/h1ehm x2zjng shadow over a level ground. At what angle is the Sun elevated above thzg2 nyh/h5lmxp1 7 ej6e horizon?

  Two vectors A and B have components ew-4mqeo j*1g;qt,fn (0, 1) and (-1, 3), respectively. What are qw-1,go;4e *qt fjemn the components of the sum of these two vectors?

  Two vectors A and B have components (0,k6 o55lmxd 7as 1) and (-1, 3), respectively. What is magnitude of the sum5a5xl km7so6d of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magnitu xh ;tv1;qhaivyk 4;z5de o ;ykzhi;; 1a54txvqvh f C ?

  A car travels 20 km West, then 20 km South. What is tzn; k82.xhkxbhe magnitude of its displacemzkxk2 h 8.n;bxent?

  Three vectors, expressed in Cartesian coord*xczg5o zw30v ;j-uiq r pkm)0 9wzac+inates, 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, arej*7ez.uqr 5xo
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.vhbn * kxnvy*6xjx:4)0) and vector B = (+3.0, -8.0), what is the magnitude of vectvx*yx)6b4*vn hk j:xnor C = A - B ?

  A runner runs halfway around a ci8ol wmdnhc)fs 9q7f2ra46 ay(ar0ln 8rcular path of radius 10 m. What is the displacement of the jod(aqh4fr07ao62fslr myw9 cna8nl ) 8gger?

  Two forces are acting on an object as shown in Fig. 3-1.kj:su/y5jz wa6j+bil o 7 ewaf b*;39f What is the magnitude of the resultant forcee3/oaj65bai+u:jwslz7k b *wj f;f9y ?

  Two forces are acting on an object as shown in Fig. 3-1. What is the direcax39 )pgoct0 y4 hru.btion of the resultant forcey9o0 agb4)cru tx.hp 3?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm lot 5uvu1j ;yn3mt1d au:ng and points at +30dutty nja5 1 :3u1vum;e to 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 lonlvh9e( 73cwomg 69yirp/8mvs g and points 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 wit0mq-jmv:k79mwzp g;-0 fmy aph an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the sto-pjmm :qkga f0mw9vy;7 m 0-zpne'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 horizohd c8rp2bp 8v+i 5w-rantally, with a velocity of 10 m/s, from a bridge. It falls 20 m to thhd+5vp8b8iw c 2ar r-pe water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a 2mo5 n2:xko x+rsrq9opoint 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what snr 2k95so2 qox+mr:xopeed was it thrown?

  A jumper in the long-jump goes into the jump witrg ntjekh./h,d5c3 3 dh a speed of 12 m/s at an angle of.hen jtgdd/r ,3k5h 3c $20^{\circ}$ 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 speedoq )qn+ w0g,f(zu, h1yctv5 ee of 12 m/s at an angle c (q z)gehqvw0t ,fnuy5+eo1,of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initisr5rfdj14fv 41y. axsal 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 velocity of 60.0 m/s at an angle of 9 )rwhic dkr9.$30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an an 2;o/d nkkm o7jl7b+gzgle 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.sv ttl.utcc 4z8).qi 23.4 m/s from the roof of a building 55.0 m talzi.4) v.lc8 ts.ttucq l.
(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 init9 t mv qgnn,kab/.vp85ial speed of 55.6 m/s at an an 5 k/v.g,nvntm 8aqbp9gle 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 caa9 u*s3 +57k hvbbfwuvn run a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you kvafwv7u*hb53 s9b+ u had a constant 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 du/w;9 ) i4km5wkzstyspe North, and is in a wind of 50.0 m/s to the West. The plane's speed relative5/ ;s)k 94tmisww zpyk to the ground is

  A plane is flying due Southd *;pgyy6;i7 4g wtqpk ($270^{\circ}$) 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 is headed fn lvghu 6s251$30.0^{\circ}$ 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 s 9)xiz/0lsv/rq sg0f with speed 50.0 m/s in a forward directions/r) xsvfz l0gisq/09 $30.0^{\circ}$ 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 acrossk1 aind a,e)g; a river with a current o ka,)a 1egind;f 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes tzjpon.ty;*+m .9ld igo travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it tak.pt *lz .;jydn im+g9oe to cross the river?

  The driver of a motorboat that can move at 10 m/s 85xhff(jje/l;f hz ( xga 2fh*uf -:gtin still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At (g5gf2;f* -zufjlfh f(/hex :a8xjh t what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 ou ezs /h5v9sb.2ckqjqapbk(0 05g0xm wide reaches the opposite bank in 6 min 40 s. She is swep (kkebxs5p5oh v2g0jbqzqs a90u.c/ 0t downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a rive58bah+6giqya6+.grbcb t sf ) r 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the cit+8bbq .hr6g 5a6safyg+c)burrent?

A boat, whose speed in still hm 5hpfe 4zeiwi /36d1;phl2w water is 1.75 m/s, must aim upstream at an angle ofe3epw1zfdhwhp/ m l654ii;h2 $26.3^{\circ}$ (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.