Which one of the following isk +8,n6 ivtbdb an example of a vector quantity?

  Which of the followi(agf3tx :zgdsf :+i+ing operations will not change a vector?

  Which of the following is an accurate statem(m -s4x:uw pqtxls-2lrc osrf0ad)94 ent?

  The resultant of two vectppap78 ze: n7iors is the smallest when the angle between them is

  Two displacement vectors ha d/g3fo;e w3gjs ,9pcmve magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors ar9w ,gdjfs /g me3c3o;pe added, the magnitude of the sum

  Two vectors, of magnitudes jv6s nk(r(er.20 and 50, are added. Which one of the following is a possible answer for the magnitude of th n e(6rsjkv.r(e resultant?

  Three forces, each having a magnitude of 30 N, pul*innh1*i a4url on an object in directions that are *na 1nriuhi *4$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram showno. (a;:akn jku, the unknown vector is

  Ignoring air resistance, the horizontal componenjz2yb*vi 3f-m fyf7 .pt of a projectile's velocity

  A ball is thrown with a velocity of ks,d dutsqdh y:jigif/2)9 +-20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of 9ydfj,s:di 2 -ig+ud)ksq ht/its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's accelerat.qes z+ gjypv+d48lb)ion q+b.+8) pejz lsv4gdy

  A soccer ball is kicked with a velocity o9mbiiw7 p (--wrfr e2z(2w5m/kdfwql f 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 object is directed anti-p i fbpye7y js;9o w5s.o3dc*.zarallel to the velocity3f7p ds .;yzs iojeo 5w.cb*y9 vector,

  If the acceleration of an object is always directed perpendicular to its velq8, jhew9p 9; :vaygzkocitkyj,gv9p8w;qhz: ae 9y,

  At what angle should a wg 6jy/r vlh7fb2gdn9x 07m0a water-gun be aimed in order for the water to land with the ggdmnxvg ybf l0jwar7279 /6h 0reatest horizontal range?

  An Olympic athlete throws a javelin at four different 4je d)mrg2f hratx p) 9u+e7v*angles above the horizontal, each with the same speedr)g 4tuv+*2 a9e fxd)ep hrm7j: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 ball leaves your haxdgd u.7djsy9di+f5q 8y h;0dnd with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve)x df58u hq d 7ydd9;gdsyj+i0. would be

  A ball is thrown at an oraxyy7 ..m vf4:w nxcg0iginal 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/3h*ta (fy6qug (b9 lr+q zlcl0nb w:f field goal attempt reaches its maximum height, how does its speed thl/rcu3l60+qfwby:flb( *na9gq ( z compare to its initial speed?

  A stone is thrown horizontally from the top of a70(qhn0 no(ek w0vusu tower at the same instant a ball is dropped vertically. Which object is traveling faster07hqe0ks(u 0nunvwo ( when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a seconqfm8 clh ; /-vsr1mag:d bullet is dropped froq/c8v;rmlsm g - a1:hfm the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/o q mcm:o .7+oep2* ,y.nwzoyqs and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How far apart will the to. p zwynq7m+,c .oo e:2myo*qwo packages land on the ground?

  A package of supplies is dropped from a plane, and one sec iy0w pc7idr ce4,(6 al3cffz4ond later a second package is dropped. Neglecting air resistance, the distance between l4ip3car07e(f wi6y, dcczf 4the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant)t0 -rr0xej gy. swv*mg1oz.k speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the pyswt0 -.)* .xo1gmevzrjkg r 0lane will

  The acceleration of gravity on the Moon is only one-sixth oy6;mgdo4 al- ka1cxh:f that on Earth. If you hit a baseball on the Moon with the same effort (and at the-a61la yco4d :;gxmhk 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,rszg 7-9jav6. kqmuy) level road and pass a car traveling at 45 mi/h. Th-ujvza9)g . kqs7yrm 6e relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strongebi;qm5:ha4r-tg; bse h b7 k6 current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. Yoeqb;hm- b e7t6g arks:4i;hb5u should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will it t:f8uqu 56kdzt +j8irxx: c :dyake you to move 12 km downstream, in a r dyuzx8f::qjxk6 +:8ctu r5idiver flowing at 6.0 km/h?

  Vector A has magnitude 8.0osum w4:v(jkydj .j:. m at an angle of 30 degrees below the +x axis. The y component of :v:ys(ko. .jjwu jdm4 A is

  If a ball is thrown with a velocity of 25 m/s at an ang+zf6o 5 uxj,pyle 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 opj j8i5 5r.zvhucd /5uf east and you end up 2.0 km nor jh5iur pj5d uz/c5v8.th and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x com pn9d(s0 gz dtmqob9,-ponent of its velocity is 8.00 m/s. The angle bet n,tdzbgd ( 90-9oqpsmween the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. Ahk0qgidaf:052y 5 13emgxpw c t what angle is the Sunhkmd0xag : 553piwq c1g2 fye0 elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respe l hol x,--gwpf:fi5 /blyl1;gctively. What are the components of:xig- yfw1l- ll;glh ,pf5b/o the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3),w/ su+ 4+i *imccz*b*m6bdwpo respectively. What is magnitude of the sum of theuc *6pbcmi+4w oi/ dz*sb+mw* se two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is themsmb 7kah6t digx j4k1o4w.b-43 qm0 t magnitude of C 1 h mgm.4b7its 0-j4wo6ad kxm4bt 3qk?

  A car travels 20 km West, then 20 km South. What isnj0trw9p2 w m* the magnitude of its displacem9*2tp 0wrnmjw ent?

  Three vectors, expressed in Cartes8j r8m 03n3jks y1xsnvian coordinates, 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 Caro+t 7rw-ge p1pvbu:)c7ikt4t tesian 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 vector B = (+3.0, -8.0), wha15k)gf k r0+ck8n 70zcl shxtzt is the magnitude of vfln08)r c7gkc xs t 5z0zkh1+kector C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displzvam1opoerz.: :1q) bacement ozev. 11o)mro azqp :b:f the jogger?

  Two forces are acting on wgb -ld-1cjj*an object as shown in Fig. 3-1. What is the magnitude of the rwcgjb-*j d-1lesultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What i36h im 8ghrmvs+2y7ys5 fi8nzs the direction ofg yvrshm7m f8iyn zh32si6 +85 the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vectorr0m1wcoe ,k (3 jag3zw B is 7.5 cm long and zw jor03c1,m aw3(ekgpoints at +30e 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 long and points to 0u(rgkyp()/ xags2 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 ho .;dmbqagv;+ gr0*kr h6pop+ jrizontally with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of k6md;r0oab+g phq;v g .p*+ rjthe cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horiv;l y;jy )hmf3zontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally bem)jhf;3 ;ylyv fore striking the water?

  A ball thrown horizontally from a point 24 m above the gr:4q1.ruxp)8bq/gni wji6 ef oound, strikes the ground after /ju.8xqqigon)efb1 4 p 6w:irtraveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an anol) oc ;e1. lfy:ury5)wut6dn gle ed; ):u 5rolcuyf )n.6w1ot lyof $20^{\circ}$ 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/2r 8p x5.ubfbbs at an angle of ubbr 2 .8bpx5f$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocitypdg7o y* 4)bjw o thwcf8fz)o1i60pi * 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 angledhpaqry 9f l2e09phkh77 yi,8 of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at a6hc5 wzdbe(;un 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 a9kxg7( rwg-3re0my qbuilding 55.0 m 0 - xae7gmgrr9yq(kw3 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 w2fp4 ,mmj ptxu0o z 0)hyz:cq-ith an initial speed of 55.6 m/s at an angle0jpc mtm oz:yz)2f- u, h0x4pq 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 a 1500-m race at a velocity of 4.0 m/5d ki.vp5kn /i/8hhu e uw)ef+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 take you to w k e8 5)i fi+n.pevhu5k/duh/finish would be

  A plane has an air speed of 200 m/s due North, and is in i ;y 4n,nn3c nrba,,zo;fyp7la wind of 50.0 m/s to the West. The plane's speed relative t4,f3pln,no7aiy cr,; yn nbz;o the ground is

  A plane is flying due South (8yy y608oidz2ny/4 k gn8zqh n$270^{\circ}$) 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 k(xvtdjt a ;xub,3.h0 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 horiz2f4 ufm3gzmqa pzr(0dh 2,iw *ontally fires a projectile with speed 50.0 m/s in a forward direct2i hm(zw04g2 a3pf , r*zfqdmuion $30.0^{\circ}$ 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 rivee(n fvaz+3 h8cjjws,(r with a current of 6.0 m/s. What is the speed o+ je,zah sfn(w(38vcj f the boat as it crosses the river?

  The driver of a motorboat that can move u,frobn j m.8(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 will it take to crossfnjbo m8r(. u, the river?

  The driver of a motorboat that can move 6.+ft,liqkma+rzl + yat 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows r 6qf+ktlilm+y +,z a.at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directr3gu;, edjh.mz-,g ;gbox j0s fc171l:qyj y uly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in st -y10yej:3 o .xru;juhlcb1f; g dgj7s,zmq ,gill water?

  A swimmer heading directly across a river 200 m wide reaches thewe t x-+u5r 98hgg0tcgip+til f d/0f: opposite bank in 6 min 40 s. She is swept downstream 480 m. Wr hx0i l80:+tffwctigt5 -eg+pg/ d9u hat is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at jzz9+ mq8- hgp,g)ac;5 voknh an angle ofm- v h 8ozjza9kp q;gg5c)+n,h $26.3^{\circ}$ (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.