Which one of the following is an example of lmz+hu 0(qk /g9 /d(m8 ihsf )juh1coja vector quantity?

  Which of the following operations wi4 io) lol8dl ;jr(v;zjll not change a vector?

  Which of the following is an accurate statement? y,u *qltk)m .bhy 8v8,exaop4

  The resultant of two vectors is the smallest when the angle bettr*-) 3e hwu3+ucyjk yween them is

  Two displacement vectors have magnitudh nl9s 0i ;0kkzqj:a i/mp3d,ses of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the sh: kzm9kal, ssj/ qipn03id;0 um

  Two vectors, of magnitud qckt4 +:odwjw.s-27x9 jpe ntes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of thn+-txd4j 7owkwj:9et p. q2sce resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directions snvl16z+ bkqi 4k3mesf)4q.nip ;g ngox5d, 2thgb nvk3x2.5pg k,ios)4 m4nqf 1in6es q+dz ;lat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector wfe)a/ m1y,8k7u tmknv:6d qcd ghnu( u. r.o6is

  Ignoring air resistance, the horizontal col (knr xj;z29)(evlxrmponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the horizonvkmke :o7ec o7+*dr:dtal. What is the horizontal component of its instantaneous velocity at : * koc7ekr dd:+eomv7the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile'0qqd (;3ttm ip6ck i)ns acceleration)p3tqt imn c6ik;q0d(

  A soccer ball is kicked with a-d/(/c9fs tprdblhmjuo b00r;-x,iw 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 object is directed anti-parallel tou,g 5nzlf/lww w nx++w,4y*ba the velocity vecb/a gn x,, l4+wzy+n 5ww*fluwtor,

  If the acceleration of an object is alway378jpiw tgxsd+;)satn0 9rfcs directed perpendicular to its velocity,89; itp rj3 awdtn cgxss7)+0f

  At what angle should a water-gun be aimed in order for the water to land wiih squxcsztx;8pa)2fu ,vap95 df,)x5cc1 5pth the greatest c;2 9d)p5hu p51ixaqs,, t8c fs5vacx)zx ufphorizontal range?

  An Olympic athlete throws a javeli1 zks rd hy obqp2kytf7nd(7 )7i)y/e0n at four different angles above the horizontal, each with the same speetk7s)0 2y7zk/rdofyep y1nibdq () h7 d: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball fo/3ntv poc rj*/r the second time. If the ball leaves your hand with twice theo*pr/cv jn3/t velocity 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 or2i vga:2 5qxnf 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 ki9*n g/ -idsa2,yeup3qayg3reaches its maximum height, how does its speed compare to its initial sp2d-sggieaa,3n i py 9y*qk/3u eed?

  A stone is thrown horizontally from the577vv,5ke qfbveo4 wbdy08vai e7 6pb top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when fpva wedv7obbb 7vi07e,6 qy458evk5it hits the level ground below?

  A bullet is fired horizontally, and at the s argb1(3lw0kv ame instant a second bullet is dropped from the same height. Ignore air resilgbw 13a kv0r(stance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of 16,(lrnj2jsy; c0cplhg( o:od0 0 m drops a package. Two seconds later it drops a second package. How far ap0y 0,:ch(l r(nsocg ;j2opljd art will the two packages land on the ground?

  A package of supplies is dropped from a plane,(f+but-4j l r;nzoc8j and one second later a second package is dropped. Neglecting air resistance, the dist r;8+n j4bcz(t f-lojuance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Nixz 1y- s6yhf-ozse;j, 0ftsa* .; pkeeglecting air resistance, when the bomb hits the ground the horizontal location of the pi xyj. ez-a6st1 z *hoek-, yf;s;ps0flane will

  The acceleration of gravity on the Moon is onzt zs+zfa0a 0fg46d1vly 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 z4fgdztva60 z1 s+f0a would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight,z(y4jv4l q .i ve 1dqx*),xetk level road and pass a ce,qky i44vd lz v*q.() xxj1tear traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows du9kl.e)e;y8jnj 5rdd h7xzb4ue south with a strong current. You start out in your motorboat on the eh;r klud8d5 e .yjb j9zexn74)ast bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can movi,v4b dkja rj(n3 sxcy4 /h+)ke at 30 km/h in still water. How much time will it take you to move 12 km c bkxrhis va44d,)/nj( j3y+ kdownstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an anglgsdl 9lhcs2(n lbt, lsif r2f368,-dze of 30 degrees below the +x axis. The y component dilstd6 r,l s 2-l3(9bhcn2g8fzf,l s of A is

  If a ball is thrown with a velocity of 25 m/s atu)0 cik)ps3* usfd4hq an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in ;;u pna;*l2eriv7 s(or;af m wa straight line in a direction north of east and you end up 2.0 km north and several kilometers east. How oae2; ;a7;rvfws lm in *;p(urmany degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component-xcgu/v xoc9 h 4b ;+:trx2gaf of its velocity is 8.00 m/s. The anglea-h4g/ xt2b;9 rc xf+oucxv: g between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a le kppt;p ob 2y(*bsim+7x4wp s5vel ground. At what anglem2p+t5 w7(pp*okp; 4xsyb i bs is the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What 61w xr ;g/bigpare the co1pwi6 b gg;r/xmponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivel tu//,k nrbuz6w7;0r 5 yegeody. What is magnitude of the sum of these two ve ,tzgu5roe ;yrk w6/dub0/n7ectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A-kz* )d1 guk,dl ehja6 + B . What is the magnitude of 1k,g* a h)6-dueldk jzC ?

  A car travels 20 km West, then 20 km South. iihc lno4l7u )2 w1sk3What is the magnitude of its displacemen o37l1i nlu24)wkc shit?

  Three vectors, express5d kxs uuc*:0hvng;8s ed in Cartesian 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 Cartesi esi,syle:;9 kan 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), what is the magnitude of n 7a:hxvl/kpbp.d trs2c abd/)*,1mn vector,d7l nhp)s . rdncv * tab/kx1/p2b:am C = A - B ?

  A runner runs halfwa, w-(q,nbw qoby around a circular path of radius 10 m. What is the displacement of the bq,q-bw,wn o(jogger?

  Two forces are acting on an object as shown in dz5)tuidq .vy1 ;qos t:lsvmq 61:x-eFig. 3-1. What is the magnitude of the resultan t mqoys;t:l v- d5ud:vsqqz.i6xe1)1t force?

  Two forces are acting on an rekr uyu-6xoqc ,o*be(;+xu(object as shown in Fig. 3-1. What is the direction e*-qkcox r6ur(x ,uo (;byue+of the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector tqbznl2b9dc4 b h+je-z1b3c b*a 9 f1oB is 7.5 cm long and points at +30e to theb1oe ltbcq3fd1 b+4hjz-2cab99 b*nz 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 gkr dnd;(6d4mand 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 with an initial z(fo/3dmr*-:ra;zjyo8 j hrhspeed of 10 m/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. What j: /j*a3 zodh (;orrfhy8-z rmis the height of the cliff?

  A girl throws a rock horizontally, with qqk gezo2 u8;hl0( ba.a velocity of 10 m/s, from a bridge. It falls 20 m to the water bzuqlbq2oa( e ;k.h0g 8elow. How far does the rock travel horizontally before striking the water?

  A ball thrown horizolxtacrf*z,70wd7mx f md0 6*hntally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it tmr*tx*00dma7z fl7,xh cd6w fhrown?

  A jumper in the long-jump goes into the jump with a speed of mdh* f) q8pemvb 9)t7r12 m/s at an angle oq8rm7bmh )t*d9fpe v )f $20^{\circ}$ 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 o g;/ l 6,8zxk2tzhkbtzf 12 m/s at an angle of thzk/tbg xz,8z26 k;l $20^{\circ}$ 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 yw(l58sq** rbxcb)a kgle 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 anglec cyw;8+zq1sc of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fi8m3 xg9/dc;pqas lz +dred 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 r6peo(jrt ,rh/r xjpu2/)car 5 oof of a building 55.0 mrt,6r5 u (pj rpaj)e2cr//ohx 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 speed of 55.6 m/s at; 5 ti +m.enw8td2xvlkq1m2n v an angle of xm852nv vw12;.ltntq k+ied m$41.2^{\circ}$ 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 k7 cu1p rb6o k04 8m.c,vybxusvelocity 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 v4k1cu m70sru 6ypkbbx o8,. c2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of 200 m/s due North, and is ylc)/ j apq) +*02jxpioaff4u in a wind of 50.0 m/s to the West. The plane's speed relative to the groun20*f pi)) j+j4poyc a/luxfqad is

  A plane is flying du-o t+ ,)tslz;aiay6 fce South ($270^{\circ}$) 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 ofmfz+ 8 wl7i4ttzr. cb y,b3*ir 120 km/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 4aq3mpxl(fu )200 m/s horizontally fires a projectile with speed 50.0 m/s in a forward direa fpmu4(xl)q 3ction $30.0^{\circ}$ 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 rixeorus*ia3t0, / ,:/jsytb ia ver with a current of 6.0 m/s. What is the speed of the boat as it csto a,rxs 0i iuby/3tj/,a:e *rosses the river?

  The driver of a motorboat that can movwykc 09*odbwp-:zq 9 *x q3dkwql /au+e 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 lon p-y /dl+kd q9kq0 o*:3c9qwxbu*zwaw g will it take to cross the river?

  The driver of a motorboat that can move at 1)j.eggxbzq;e ,-mdoprr- :m-0 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle ups )go:.ez-qxm--errd bjpg , m;tream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reach9 rlauwfwj m/1mas+ ozh**20aes the opposite bank in 6 min 40 s. She is sfj+0h9o*z1m/sawm *ua 2ralwwept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reac86g2c: dfp +ae0z6k tmomh5m(7lsovches the opposite bank in 6 min 40 s. She is swept downstreac65( :l7vtomkahgf+ps0czde6m mo28 m 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aime7.ai t i48ikj upstream at an angle of i.i84a 7j etki$26.3^{\circ}$ (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.