Which one of the following gwkne56ut :v( is an example of a vector quantity?

  Which of the following operations will no(u-wrv/ c no4 ftlc:)st change a vector?

  Which of the following is an accurate statemkv +;meqm: k69uehc5uent?

  The resultant of two vectors is the smallest when the vx. u(h12ox)3xtd v izangle between them is

  Two displacement vectors have magnitudes of ygza d2xc*c/qo (7*pn5.0 m and 7.0 m, respectively. When (z7cdq c2*noayp /g* xthese two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are1hz i- ltyg/ ;z9)f.k zwlqo;a added. Which one of the following is a possible answer for the 1g.-/;khlqtlzaw)zzf y i 9o;magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, 2 f0w *2r7oir b7o/l ep8huormpull on an object in directions that are frpirmo*7u/ ohe8 20o7l r 2bw$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the uvr o: :lue/qq);()jsdsi v:zunknown vector is

  Ignoring air resistance, the horizontal component of a -75 hw.z5it4kqrq,fvtsah 6vprojectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e abimzz)t q1i a1falyp; f/12:9)qqwz tkove the horizontal. What is the horizontal component of its instantaneous velocity at the exacqz)12)/ aq9l1z 1ayipw: ;fkfmz tiqtt top of its trajectory?

  Ignoring air resistance, the horizobul qn+ns z9; +ha(gr3s)3co wntal component of a projectile's accelerationl ;)uwsz9 oc+rh an(3b s3g+qn

  A soccer ball is kicked with a velocity of 25 m/s at an upx 1yv,bpd /9angle 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 velocl ni:3u ):r(h b;xqlagity vr3i );q :un:blgh ax(lector,

  If the acceleration of an object is always directed perpendicular to ipfv6 g* oc+bx qguya4703ge.,rvhd u;ts velocityv+4 * dqr06bu73 h,;vxoepg.f c uaygg,

  At what angle should a water-gun be aimed in order for thek h ,ycva1p;e :pm:k/a water to land with the greatest horizontal ra ,;mpe/: 1 pa:chyakkvnge?

  An Olympic athlete throws a javelin afokexrnfhuf4i:1 72 6 t four different angles above the horizontal, each with the same speede ffrf1x:i7 ukho6n4 2: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 nxdo v6mut3-y)sk re0 cc *3d*ball leaves your hand with twice the velocity it had on your first throw, *cdmot0sux rck *-en 3)y6dv 3its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original spee8 la3)md(fimld 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 its maoz9sl l 4dep+1,l3f*uil zbf6ximum height, how does its speedu,3o*ll1ez 6 if+l4fbd psz9l compare to its initial speed?

  A stone is thrown horizontally from the y c2bih0n,lk)top of a tower at the same instant a ball is dropped vertically. Whi0,kl)hibny2c ch object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bufn,;0uu+ ly;hx b3p qallet is dropped from the same height. Ignore air resistanu0yahl;n q 3fx+ u;bp,ce. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an 7b.95z(p dd3m4z5n dzxd6igoy umxu1df/f 8delevation of 160 m drops a package. Two seconds later it drops a second package. How far apuzg56fx(dbu8ind371 . z/ozdmy95 f4 pd dmdxart will the two packages land on the ground?

  A package of supplies is dropped from a plane, an 5 4nkbes/crs4*bw nqmxn0i9.d one second later a second package is dropped. Neglecting air resistance, the distance between the fa qc9n0s4r*bm.bkw is/enx5 n4 lling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. k.8ab 6biob h/ Neglecting air resistance, when the bomb hits the ground the horizontal loc6abb o8kh/i.b ation of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. Iamwnzsf:8. +) : pfqusf you hit a baseball on the Moon with the same effort (and at the speed and angle)qfup.)8azsns f:wm:+ that you would on Earth, the ball would land

  You are traveling at 55 mi/h7 2 qh3;zdmmjbe7to6 c in the +x axis relative to a straight, level road and dzqjhc3 m bo6me2;t77 pass 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 ego e/6l:h+ st0la qpb c7w)9rdue south with a strong current. You start out in wc/) gpheq teo0:ar6l97 lb+syour 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 ini6d85agnbm m1 still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/ d5ab8gmn1m6i h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. o y87zkap/3eeThe y component of zp/oak 83yee7 A is

  If a ball is thrown with a vevf6,w pt x7tq7locity 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 line in a direction north of eas o/vricj/a(gz:ac(ga ka14n 8t and you end up 2.0 km north and several kilometers east. How many degrees north of east have gn1a (a8/a/4gj:crakco v(i zyou walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its vf 7e+y,lert7vkhn)2 p pk41tbelocity is 8.00 m/s. The angle between thee)+pl pkh7tk ,b f7y e1n4rvt2 direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long37xeh0- ddh ad shadow over a level ground. At what angle is the Sun elevated aboeddhd07a -hx3 ve the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What ag7 v4vgon q;u mj o+phl2k:4.cre the components of the sum of 4v g 7 2clm;g+opo.:kjvuhq4 nthese two vectors?

  Two vectors A and B have components (0,m* z e(m 0co8o0im:gap 1) and (-1, 3), respectively. What is magnitude of the sum of these two0g(omp e*i:mmza8 0co vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C =69 iu5d r*new5c xeji) A + B . What is the magnitud in9 r5w6ix*juedce 5)e of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displd th) syf+ mam5,g+:kkas fmat,+)hgd 5k: km+ycement?

  Three vectors, expressedoh jjn ot(/92. dy(z8yj lvd0t 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 inji1j*rkm7)a lb*b a9zqd fl30 Cartesian 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 = (+ yt in5/ k yw7*i4aj-xvh)epo+3.0, -8.0), what is the magnitude of vector ) 57*v y-ane+w4ioxhkyj/itp C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displa7fae.ia 3;f ylcementafy;ae.i7lf 3 of the jogger?

  Two forces are acting on an object as sh 7uvysty/-6z:q 1u2o vnei j2gown in Fig. 3-1. What is the magnitude of the resultanvt:e 1nj y6u- 7sg 2/quzyi2vot force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the dirk qdrblc9vs /3 ypic481cq5/rection of //1kc d ls9i5 pqq bcyv3rc84rthe resultant force?

Vector A is 5.5 cm long and pointiovm7bi4p,4 nx/jybt(s/7jd/x 21 ttaiyh h( s along the x axis. Vector B is 7.5 cm long and pointstisy hx/ji/4pb2/xtb (ydvmj i( 74,7noha t1 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 atkg.aqc6 o7o 8yh lu):k $30^{\circ}$ 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 spee q tg h(nm:91fusqp+)od of 10 m/s from the edge of a cliff. A stop wat+9q)qu onh ps(1fm :gtch 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 velocity of 10 m/s, frotkfjmj uwe+ ho29z43 u dqwe2c*h01o4m a bridge. It falls 20 m to the water below. How far does the rock travel horizontahe2q1dj2o4zw3 40wut ehc kf* o+m9 ujlly before striking the water?

  A ball thrown horizontally from a point 24 m above the g.lfl ,l/ge ka.round, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it le,f . .lgal/kthrown?

  A jumper in the long-jump goes into the jump with a speed of ehy3i6;;t jyk fp0a4z 12 m/s at an angle 3ekt; f0yh6pja zyi4;of $20^{\circ}$ 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/s at an angleirypy v:ma(93ckv.) d7rci;v o) ;cr3mrcvy vd:a(9vk pyii7.f $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocitf p cuvpks:3p9 23rt7f:2aqw dy 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.:6s p9 e7wvupi0 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 fired at ankz6 er bi(;j+5qqkkgg5p24i u 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 horizontall io*3yzqi00a0l , wbody at 23.4 m/s from the roof of a building 55.0 ml 0 iodow*y0zq3abi 0, 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 b*o,9r f 4naw:s9dy)uir be3zinitial speed of 55.6 m/s at an anglewzb3no ur4*)ydea: fb, 9rs9i 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/s. d w5l26 (w7:gch+o u1zkqcd brIf you ran thdhd l wgr1co2k6wub+c :zq(57e 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 200niby;tqk :-s1d;.b n c m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to d:;q. sbk-tb;n cyin1the ground is

  A plane is flying due kj w9,qw ;i7mjvmcej*g -/gj; 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 o6ioh7b+,-5 mshdl caof 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 200 m/s horizontallk ;ej5xn3 t 41t9bikfky fires a projectile with speed 50.0 m/s in a forward directiontt9ek5 14k3fk ;bnxj i $30.0^{\circ}$ 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 wat*bb v j-b4 uu0uu,f*rrer is 8.0 m/s, is directed across a river with a currenu,bf0vb 4 burur-uj**t 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 wa tg hmh8azp .3y ; lckh+t9y2k.c 1y7y;vvq,toter wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long;.3y 9ky klomhvt, yhvtz g;2 +ap.cyhc1q87t will it take to cross the river?

  The driver of a motorboat that can move at 10 me- 815cg* dwi/f.sqkm am.d bn7 fgqj+/s in still water wishes to travel directly across a narrow strait in which the current flows 8e 1j -*wsgqbfm.ki+n. 7qgd/fm5dcaat 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 mi,fks irp7a*dl v80wb; zkf *jxr-49r wide reaches the opposite bank in 6 min 40 s. She is swept downsaz*d*kf48pl;r,i0rj b -sv9x f7rk witream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reace)shbpxw uc4.g +;gv/hes the opposite bank in 6 min 40 s. c ebg;.x/4wushgv)p + 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 upstream at atjg+ vi1t6)if4( t*tp7bsj ej8qrv 8cn angle of*qt8jf rv1pj74t)ttb+6ei s cg(ijv8 $26.3^{\circ}$ (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.