Which one of the following is an example of a vector quanti,+-j s*gy2n nhur6xzzty?

  Which of the following operations will not change a v:-( ixym+k uk5 (f+j zgsom72lyalwp:ector?

  Which of the following is an accurate statement6- n w4bhjrv n-ihl3 zs(x0vo7?

  The resultant of two vectors is the small5dl;h c;pnz f2.ewqdt3y0hi /est when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, rzp(f3vo ikm y 707ra,fespectively. When these two vectors are added, the mag (i,f fv0p7y7zka3ormnitude of the sum

  Two vectors, of magnitudes 20 and 50, areasd hj* tj-r;: added. Which one of the following is a possibh:tj;sj r-ad* le answer for the magnitude of the resultant?

  Three forces, each having a magnif;:zm** /ltfimh.a x 6wg4 jtftude of 30 N, pull on an object in directions thmw*l /.:fagf;*4f6 tzhixt mjat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecto-/ ryv / - rg3szijzum;pq7r.2xohfo.r is

  Ignoring air resistance, the horizontal component of a projectile'lz7pz n.)ynrd-r 4,jss velocity

  A ball is thrown with ay(*w3biy0c2 xz. zeb b velocity of 20 m/s at an angle of 60e above the horizontal. What is the horiwyy 2c*0b (zb3 bxez.izontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a )mw)v; iy-ol- j2x uqsprojectile's acceleration2 vs) om-)ljwyui;x- q

  A soccer ball is kicked withjph* o lu/l5af+ 9lsy, a 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 to xh0 (83grzx 1zkw wx*ythe velocity vector, 0 yxzk8*grzx xhw1w(3

  If the acceleration of an object is always directed perpendicular g3o m h)lb1)mm6qwyu+ to its velocity,wmq61bul) )hyo3mgm +

  At what angle should a water-gun be aimed in order for the watery :l0kr8wu+hg k4lmj9k 3rz3u to land with the :kh8kw9r4m3 0j zr+ luk3gulygreatest horizontal range?

  An Olympic athlete throws a javelin at four differev ;c+l ,p8gsud.2a58tktz1s1odn j le nt angles above the horizontal, each with the samed.g8o5 pctt12nkjse +u;ll s 18zdav, 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 the ball leaves y;gq u)3tg)lcv 0p4xdcour hand with twice the velocitupc q;dg304xclvt ))gy it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original -kh+kry+f7oncu pp77 wno . 2fspeed 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/xiad 9otjy8 41dt6 pj goal attempt reaches its maximum height, how does its speed compare to its initial speep8io/jx1jy6ad94 d t td?

  A stone is thrown horizontally from the top of a tower at the saaz)gqz.ep thw71 ;d1xme instant a ball is dropped vertic.dh7wpxq1 gt;1zzae )ally. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the samt5-*cjsf o-z je instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two j-z o j5cts-*fbullets.

  A plane flying horizont6hsbo d;dgda.5x ( d0tally at a speed of 50.0 m/s and at an elevation of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packa5s(0dd;.6a btd goh dxges land on the ground?

  A package of supplies is dropped from a plane, and one second later a second m,lx8a b ds+*gpackage is dropped. Neglecting air resistance,m bls8dg, +*xa the distance between the falling packages will

  A pilot drops a bomb from a plane flying horvmb dv 6br9p,glr+x+ 2q -(bgpizontally at a constant speed. Neglecting air resistance, when thvx6(pl,dqbb+r mv +b -92grgpe bomb hits the ground the horizontal location of the plane will

  The acceleration of gravityeco*:7z tp2fy on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon wit y*7c 2:zpeftoh the same effort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x a:zrc6lx0yh w n 6 /x9jriq;)gpe 4wo5wxis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative veloc o;ghxc9p r5wqjz06 /lrn:iw) ewxy46ity of your car to the other car is

  You are trying to cross a river that flows due south with a strong curre b)3og,9 ald )x-ujgnb 5jb0elnt. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your s b x,j0 5ed)9)gal lujgbo-3nbtarting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. mll5qw3 s ,y5(uih 4aw How much time will it take you to move 12 km downstream, in a river il mq(5u54wsa3, h lwyflowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degre cza4-vgbq-sou/ 9 br m,e.bx6es below the +x axis. The y component .b-/,o 4 qrezb9bv c-sx6aumgof A is

  If a ball is thrown with a velocity of 25 m/s a6ux+ du87u qgit 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 east 8l/m7 p);8hvlfgiplw )c z bc+and you end up 2.0 km north and several kilometers east. How many degl+p/mi)bl p) z7c8wl;vf 8chgrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its veloce 5cnn -xrh* (l(v lnmdj:f+)city is 8.00 m/s. The angle between the direction of i fjclx(:)-dv r(n *c e+lnnmh5ts motion and the x axis must be

  A 400-m tall tower casts a 600/ .)jbosij/ ws23 qyyeoyu14z-m long shadow over a level ground. At what angle is the Sun elevated ab4) s/3 ./ubiwqyze oj2oys jy1ove the horizon?

  Two vectors A and B have components (0 8vjd +6kr+ib (v5eoiq, 1) and (-1, 3), respectively. What are the cdi+j6o r( i58 bvkqv+eomponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respective7ifg7wpnp;thm::cbb q,5 e0u ly. What is magnitude of the sum of these two vectors?:qwemg,bp hn5ubf i07t7c; p:

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the m zvd88h-65nrz zkld xka9 9b)bh+m dq(agnitude of C +kdx lqr d(v9bk-8 z)h6bd h9znm8 5az?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displ 8feg1ac0.xnoa f81/rpk. vmpace. arx.c em 11fpoa pk8f/v8gn0ment?

  Three vectors, exprespd r q m8qg swgoi34,si9,c-e;sed 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 Cartesianyp-t dy(nl;rbh +x5 ykx,/q t5 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 = (+l i9xh+ cp: v*f k 62szr2zyx1zkzyb7(3.0, -8.0), what is the magnitude of ve( zxs1ki9 zkvzpy 7z*+xy6lb h:2fcr2ctor C = A - B ?

  A runner runs halfway around dcumc.,qqgfw:f*7 gb8 7/u3c md7tnka circular path of radius 10 m. What is the displacement c:u,d*mn37wg8u f /dqf.gcqkt7m7bc of the jogger?

  Two forces are acting on an object as shown in Fig s 4fkomdc w-/q2u9na(h1cr 2b. 3-1. What is the magnitude of the huqao c2(b1fskc/92rn4 w dm- resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. b: *vlf nn1 nop-eyv(0What is the direction of the re* p0ve:obfy1nlv n-( nsultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm 4b ( csy :kygze8jrf(6long and points at +30e to8cyrkzgyej:sf (4b 6( 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 g f3yk+ dy ffw85dpvjoczw()5 v w)ah*u)/cf,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 edge of1h:9;gq-d hsb komra 5 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 is the height h bm:s1hk dgq-r9o a5;of the cliff?

  A girl throws a rock horizontally, with a velocity of 10opkm -idqi 2p;aqd 84:. f9han m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before striking the wa 2dq4kh-p mq.afn;a8dpoii 9:ter?

  A ball thrown horizontally from a point 24 m above t5e ,/ssqo-e olhe ground, strikes the ground after traveling horizontally a distal s5e-eq o/so,nce of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into t nvgtj9,6g2zq he jump with a speed of 12 m/s at an angle g6jvgzn ,92 qtof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goao;rri6at*j.oa/ ys) es into the jump with a speed of 12 m/s at an angle o; / aar)iy*ajrots .6of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocityetc ;j+.uz m:x of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched wix1z+ ,q8ny ax, ck clkdm/cinx8m+o -4th an initial velocity of 60.0 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 an aie/s d, yjxe8d9c/7wwngle 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 vmb+app wo+f9zr)9p:;: re yy of a building 55.0 m 9:+r z;bpyfey9)p a:pmow r+ vtall.
(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 grydx8tx+sq0i* /l s, c4vfpg7p v gnqu5ho9:k9ound level with an initial speed of 55.6 m/s at an c7 g9s/0p*oq xgi+ p9u :5n4fqvt,kys lvxh8dangle 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)l9mv7l.m 5mua , you can run a 1500-m race at a velocity 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 2.0 m/s, the time it woua.v957l lmm muld take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/s trk 1v1rl,l ql32dg9a ao the West. The plane's speed relative to the groar 3l,qv9lda211k grlund is

  A plane is flying due0 v 0vow0nrx c */;wxy7,mqyud 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 of 120 km/h is headed )t87o0c wqzqcu7z *wf $30.0^{\circ}$ 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 witkzsotxj198bye 8t5+,k (lmf ize*d5jh speed 50.0 m/s in i5,kfx1b(m+ 8jde5ljt *8 tek zzy9 soa 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 a rihir6 uqz53q9aj eo8 z+s1 yf;kver with a current of 6.0 m/s. What is the speed o;key +qh8r 6fj91siqaz 5uo3z f the boat as it crosses the river?

  The driver of a motorboat that can aquuu6yhat ;a5ll8vx.x4 76jmove at 10 m/s in still water wishes to travel directly ahu aq x6l8uv7ja .5x6talu4 y;cross a river 1.6 km wide in which the current flows 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 3, ,n)mg6crzf/e t8 wi3 nzhlfstill water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver het e mgfirc3 6),lzwn,hz/f 3n8ad the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite bakgrsn(dam z1 1.m1zykt s.+/ ank in 6 min 40 s. She is swept downstream 480 m. ygs1ak 1szm akztndr.+1(/.m How fast can she swim in still water?

  A swimmer heading directly across ahz(oc p) -)u 8i,ovhfr river 200 m wide reaches the opposite bank in 6 min 40 s. S)(,- oczv8)hhfui rop he 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 a, - qex p/*(it/wjpskdim upstream at an angle of ie t/s,q*djkx(p/ -wp$26.3^{\circ}$ (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.