Which one of the following is a e s686:sm,yh.g (s2i: mwrlwo6 +ufu tmxll/sn example of a vector quantity?

  Which of the following operations wilac q*82nv6-syz/ehs/n h o (xhl not change a vector?

  Which of the following is an accuratep w;2vfw/ uqqs+lcp* 2ko:0hv statement?

  The resultant of two vectors is th-55lm w4yh 4pryo roh;e smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 q 7l frjzju+r0+d5 5xp-(j pk3,rwjg km, respectively. When these two vectors ar r3d+j-(krxwg5qfzrp5 j7kjj ,p +u l0e added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the,qyyi0gr0d0 g5 hon12 htjx;x following is a possible answer for the magnitude of thex nytr5; oy20 i,x1ghhg00qj d resultant?

  Three forces, each having a magnitude of 30 N, pull on aja/r-gd 9q(rpn object in directions that-9p(q r rj/dag are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector is -/wb amhxiiw2 hx-6x:

  Ignoring air resistance, the horizontal ck0xjnhcr u23 2omponent of a projectile's velocity

  A ball is thrown wit2dxitp s;0 8zfh a velocity of 20 m/s at an angle of 60e above the horizontal px t0;2dizfs8. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal comx( j9mk,(k, 6otgne484prtd jf2dqvjponent of a projectile's acceleration4vjm 4jtp, k(gfqe9xkn8td2,or(d 6j

  A soccer ball is kicked with a velocity of 25 m/s at an abca86(vyv 2gv ngle 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 toev0( jb t:iyo( ia1ek4n/c va7 the velocity vetv4 7nb/1( iiekce:yv 0(oaajctor,

  If the acceleration of an object is always directed perpendiculafe/d a)a leh q39m(/a3rb6baar to its velocit)fa3aqd b6 h/la3a/(9ra beemy,

  At what angle should a wa l8se;t8ugc:ster-gun be aimed in order for the water to land with the greatest horizontal range?8eu sltg8;c s:

  An Olympic athlete throws a javelin at four wzhei 4.1 y;op8 ;fyjidifferent angles above the horizontal, each with the same speedi ei; z8;f1w.jy4ph yo: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second tu)ol,c g9z9 i/pzap5e3bq4 j eime. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compareogz99u54, ibp3ze)l qpj /caed to your first serve) would be

  A ball is thrown at an ori0,esa6lhp0trde ivkx23v*g ,ginal 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 reaches idfybe4p cs9 4 xpom4b9el71lb) n53nxts maximum height, how does its speed compa xoe3ybsnp9fd79 c l15b 4ln4meb )x4pre to its initial speed?

  A stone is thrown horizon;sdl/ql mlx xid55-v, p,d/g gtally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling fast,5,/; 5isdlm-dd gx/plqvxl ger when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a skk 4oz/ g nv** hn*rh(dmq*f+second bullet is dropped from the same height. Ignore air resis+h khnmrq *dz k( 4*von/*gf*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 elep,j bt 45k2riq) oem*d(nrw)e vation of 160 m dropw*(mt pr4q d2e5onbj i,rk e))s a package. Two seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is d 1hfbf+vs* 3quropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance betw vf*sq 3fuh1b+een the falling packages will

  A pilot drops a bomb from a plane flying horizontally atj p3n+sf-vtcvalgga5( 5n-)l a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the planevj)3 galslt-5(ga nfp+c 5n-v will

  The acceleration of gravity on the Moon is only o/x;dwhiwrfo)gjr/o3i50 fc * ne-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angleg/o wi;o*wfrrdi0xh/ c 5)f j3) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straigh k/9 d*uzy8gro c;82kjnkd+hdt, level road and pa ockd8dnk rg*9/8h u+2;j dkzyss a car 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 due south with a strong ,p(ued(;3ez vlfkhenjtauw 6 01r 8)kcurrent. Youv)thu6 we3 r jkue lp;d,1kna(fe08z( start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h i7cyf i-gu /s.sn still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/fiu cs 7/s-yg.h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. T9m0.p n .fcoc) bj;clihe y component of A mcc;cfo npb)..i 9l0j is

  If a ball is thrown with a velocitlh e- a*bp u *8b)cay6klpt;4sy of 25 m/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 straight linefo9 kgza *tqfg k4;h+1 in a direction north of east and you end up 2.0 km north and several kilometers east. How ma;g h1gof 9f zq+4a*kktny degrees north of east have you walked?

  A butterfly moves with aq i-rmkaf (s2(o) kc18+fvmo q speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its mr1fqv sim)+2qo(o ak -f8( mkcotion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what angst /op/qod-k; le is the Sun elevated above qs/dt ; po-ok/the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectikpm znocs7(-)v1kb02 xf2 kzkvely. What are the components k2k(fszmk b-k2nxo1)c7p z 0 vof the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), resu-l( 9 cw3afwrv3z hx*pectively. What is magnitude of the su33 (rx9-uchlzw avw f*m of these two vectors?

  Vector A = (1, 3). Vector B = . e5 .rfwguj0q(3, 0). Vector C = A + B . What is the magnitude of e f rjgw.u.0q5C ?

  A car travels 20 km West, then 20 km South. What is the magnitudey k1n5h )jak 6pb4oa9t of its displa5ak nok96h1y b4)jptacement?

  Three vectors, expressed in C *,doe u0 l-xfi:rnn.bartesian 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 Cartesht-v yu3 ;xa2lian 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, -*hbu 3j nfbhaj4 3;z5di+nr .o4.0) and vector B = (+3.0, -8.0), what is the magnitude of vector C =d h3+no 3n5uhbf;zbj *. i4arj A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the di. p7ic k202bs,gbhi 6 ;r2jr-l rohoztsplazbtokc2 rrrgl 26h,0 -7biph2;oij . scement of the jogger?

  Two forces are actinl3xd8qig8t8d kbp9)o .xu:r g g on an object as shown in Fig. 3-1. What is the magnitude of the resultan9d3dqr .up888x lg) :obxktgit force?

  Two forces are acting on an object as shown in Fig. 3-13sqpu hxfgmj-m2a1 (:. What is the direction of the resultant fusa :mx (m2f-3q h1pjgorce?

Vector A is 5.5 cm long and points v uua p1i -quz i)su19/-gg7mealong the x axis. Vector B is 7.5 cm long and points at +30e to uagp1 / zu iiq)g19-u7uv em-sthe 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 8r0ogjvpk7avb 4f 9l1long 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 with an initial speed of 10 m/s from the efdq hpz*sb,3r9:ey- zdge of a cliff. rsq* y3 pz:b9,edf-zh A stop 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 horizontally, with a velocp+q2vs*qsf3v* qmk ( xity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock tras svpqm3+k*f*qvx(q2vel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above thgu35e,l4hjvyt7b 5ot*r3t9/c ebk h te ground, strikes the grounkl*4u7 , 5cbettt v9bh3g3hy5o r/t ejd after traveling 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 a2 so3-o(livge/8s dc7 7dwzvh n angle w3v i-ecvzoss/2hdlo77 g( 8dof $20^{\circ}$ 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 j ee7)su/7 wv4rfop,ur7 yks.speed of 12 m/s at an angle of ru 4eyvk7./r 7ss,oejwu)f p7 $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 6hz5v8 g wvzx*j 0zf0z60.0 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 jiuz;nuk+) 3e 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 gn 89ous*tq7+v2sohlfod+u ( 2:gl hzangle 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 buildn afqm*wh*0neh)-q z*uf5ni2ing 55.0 m taw2f0u *im nqhf*q-n)n5 hza e*ll.
(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 55skh6*5d kfc5 d.6 m/s at an anh5 *dd ck56kfsgle 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 m; u1n,h2fu.oxv, (h mh.sqzm1500-m race at a velocity of 4.0 m/s. If you ra,omh 1(, uh.u2n .fx mmz;hqvsn 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 finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 5at t *qkb-(*a (y yssuv*+/m;-zlmisz0.0 m/s to the West. The*;aylusmks ** +szt-iv m(( qbay/zt- plane's speed relative to the ground is

  A plane is flying due Sout)yjnwm1p rl ahuvn74 6i6k1,satq 7x8 h ($270^{\circ}$) 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/td0 s*smkt*;urrpb 6u 8f3,sah 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 prob6 gf qkp 56d+jn/ltt1jectile with speed 50.0 m/1f5tq/b 6 + npktd6gjls in a 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 a8-13jq iz u 4dgvi+wrg+p4hy d river with a curri4 u -q++jddz1yh3i84grvwgpent of 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 wisq*u)5le1 mn oshes to travel directly across a river 1.6 km wide in which the current flsu*l5) o 1nqemows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes.gck8h qhw5o 3slmx3ud.;w(a to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the drih;l(g d8w.u 3xa.mh k3 5cwqsover head the boat?

  A swimmer heading directly across a river 200 m wide reac.tjqw4dm7:yk hes the opposite bank in 6 miw jqm.:t k7yd4n 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly anehw-t0 1x 1prcross a river 200 m wide reaches the opposite bank in 6 min 40 r1- 0ew1nhxp ts. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim up/,:ixb yd6mme: t yu8mstream at an angle ofm,ty:bdu:/ em xm68yi $26.3^{\circ}$ (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.