Which one of the following is an example of a vector qkr089 j 1uwdtpuantity?

  Which of the followijre/)fnw- *z tng operations will not change a vector?

  Which of the followin;dz p:mt:2wu lco9zw-z 0hq9rg is an accurate statement?

  The resultant of two vectors is the smallest when the angle wokz2j5s./v 9mk(m c hbetween them is

  Two displacement vectors have magnitudes odkfvc8 x jkh.ct9+.(df 5.0 m and 7.0 m, respectively. When these two vectors are addx 8.vktck.c h9(dd jf+ed, the magnitude of the sum

  Two vectors, of magnitudes 20 and /g )/w4gtmyj f50, are added. Which one of the following is a possible answer for the ma/ygm 4jwgtf/) gnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an b5uoxlh 6rku(s 4-7xg object in directions t4uro 6l-h5g( ubsx 7xkhat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown,bd96v lp0r,bv u+tucab,g4 ccmj :j9. d p0c5j the unknown vector is

  Ignoring air resistance, the horizontal component of a projectile'd o oo+ bc vu+/-vfvolqg32*5gs velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e abov,qh/4rnu/p o wxv9 zr;e the horizontal. What is the horizontal component of its instanta uzoxq w94rh/vr; ,np/neous velocity at the exact top of its trajectory?

  Ignoring air resistancni c42au0 psod1 -5eiee, the horizontal component of a projectile's accelerationdsacu1 - nepi0ie2 54o

  A soccer ball is kicked with ,y(-uxd kby3za 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 8h1ezah3u kgr8(( ezdrp-m 6 m(q sj+apue-+vto the velocity vec6 g+(haqper 1vu( zezj p ma-m+uh 38d8rk-(estor,

  If the acceleration of an 8 l5k umpc7xo+q9kx9 eobject is always directed perpendicular to its velocitku58 9oqcxpmexk +l79y,

  At what angle should a water-gun be a b)e6 vioqzi-fi48:mhimed in order for the water to land with the greatest horizontal ravhi:e 8bmqzf)o- i64i nge?

  An Olympic athlete throws a oap0q)a3l( b tv9 u,ez9-skte1qyko/javelin at four different angles above the horizontal(-)ua qe9vktt,y/ z39oebkp1s 0a oql, each with the same 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 your h2o-v*qx n gf)euuda: ;and with twice the velocity it had on ynvu d*;eo fa:-x2g q)uour first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original s9)l o6l yb0crgpeed 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 maximum height, how dowhrg u.x)w)w) es its speed )gwu)h.w )r wxcompare to its initial speed?

  A stone is thrown horizontally from the toyot77mu.s 5ygp of a tower at the same instant a ball.mosu 5t7g7yy is dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instan 7hy bhl am:eg4/o:np(t a second bullet is dropped from the same height. Ignore air resistance. Compaoegl:mp :n4bhah7/( yre the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevatioqvwip5l(*) tcn of 160 m drops a pawi* c)v( qltp5ckage. Two seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies 8r v9 e:zfl1to )be1gxis dropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packages wi9)fgele vt8 1o b1:xrzll

  A pilot drops a bomb from a plane flyahk) 4+ fe:kzuh6 aeb3ing horizontally at a constant speed. Neglecting air resistanck4e hzhkau3)6+ fea: be, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. If 67zhqh2jhww;g5 1artyou hit a baseball on the Moon with the same effort (and at the speed and angle) that you wohwh17tj5w h ;2g6rz qauld on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis re5(a hi wd 8l8bxfn*2chlative to a straight, level road and pass a car traveling at 45 mi/h. The rela(xn5 h8ia hf2cb dw8*ltive velocity of your car to the other car is

  You are trying to cross a river that flows due south with a x+2wll hji:e8 hyqz*b -srk9:strong current. You start out in your motorboat on the ea l iy:+k9e2hsjwl8 br:xq*z-hst 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 in still water.ec1 3xk/jlg.n6y2 rmyffl:9s How much time will it take you to move 1 3 kmye9:ylglr2 n/.1fxsc6jf2 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrem )rx hw(hi60r/a*yovev: u-yes below the +x axis. The y (avi/w:)ox-r eh0rhy m6y* vucomponent of A is

  If a ball is thrown with a veloc qc6 q.k*2 ci82fpkzjtity 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 east and yocu jx*i f 2uhu*b26h6fu end up 2.0 km north and several kilometers eastcuhuffib6**hu2x 62j . How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velo;lywsa+f* mx1rf,o5 h hdj4u0w/jzegt.ac3:city is 8.00 m/s. The angle between the direction of its motion and the x axis must j fcy5jw rt4h1w.h z 0;aux:/*+,3ofsd g lamebe

  A 400-m tall tower casts 59x q u5wdgde(. p /z9a e.o.8esnsphwa 600-m long shadow over a level ground. At what angle is the Sun elevated above the ho5.p/w9e gszepuq 9(e a.s 5xdhwd 8n.orizon?

  Two vectors A and B have components (0, 1) f8ek6i-jy2-5qz s dztand (-1, 3), respectively. What are the componentt2fd6z ysz-5-eq 8kji s of the sum of these two vectors?

  Two vectors A and B have components (0, 13f b(j xlgeo: v3vr+n;) and (-1, 3), respectively. What is magnitude of the sum of these t:g;3f+b( rejo v3nxl vwo vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is tax 17hz,9ln lv0qr i,qhe magnitudea7x0lviqq n ,hlr9,1 z of C ?

  A car travels 20 km West, then 20 x r6s) rjraxlz;z17,ykm South. What is the magnitude of its displacementzrr)s jzax1l;x 6 y,r7?

  Three vectors, expressed in Cartes)/qxc2a)fcdn x.; rhkian 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 Carte3o golma7i sv (ewy)82sian 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. qt8 m(( o6rffgxb fcm3y63dq50) and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - B 3tf x 3fdrm5mo6bfgc 6qyq8((?

  A runner runs halfway around a circul2q0lvh+ t .7)baj i(juj6jmonar path of radius 10 m. What is the displacement of thehq7)+on6m 2jj j.tjva(bil u0 jogger?

  Two forces are acting on an object as shown in Figdygh a4+o:(; athee- a. 3-1. What is the magnitude of the resultant for aegahdh4(:e ;y-tao +ce?

  Two forces are acting on an object as sq2e7rxc)sq icy1qq 3 ;hown in Fig. 3-1. What is the direction of the resultantse7qic2q q3) xc1ryq ; force?

Vector A is 5.5 cm long and h a/eu+og*0 w595elhim5 urtkpoints along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x /teiwe0uh5 hr5+ml5kug* o9 a 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 .jup 6ubdpqwdlo8;d 1-kdrh2rj0 e0* 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 initiabfa-g 88 +dxz0i.qpcel speed 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 ip+8 8-qcazxg if0bde.s the height of the cliff?

  A girl throws a rock horizontally, with a velocit tl dpm((e,epf,:6 y7h fkrud1y of 10 m/s, from a bridge. It falls 20 m to the water belodfp(,lpmyher7 f1t6ud (k, :ew. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikej)*5 ypva9+kr fw ad21cn v9tos the ground after traveli9 ofcjwvya1t9ndv*a5k2+ ) rpng 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 an :rnhva.;ax r4gle oa4nha :vrxr;.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 vt / j4d25uzeui7(houinto the jump with a speed of 12 m/s at an angle o5tvd4z2h ui (u j7eu/of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an in,mrigltzf+i3 - uw*z8u g** yzitial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched witk . pcs44ddd ay;/rfcd/94gby fpc,9 th 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 angle of 7,9 kezwlwe6 tw2q4vp $30^{\circ}$ 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/szg- 7 qzq s7ky,:iwn7p from the roof of a building 55.0 m talz-ig,7znqwy:kq s 7p7l.
(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 ac3yr1qn/ht. zn an 1rqz/t.n3chygle 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-mic1uz-qa 5;b 2y7 xwku race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind whii5z q abu;12 kyw7cx-uch 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 wtyv 7fi-wuqd:ych 898 ind of 50.0 m/s to the West. The plane's speed relative to dh8ci:7tw 9q ufy-v 8ythe ground is

  A plane is flying due South (rguurs y1i6r3 i 9m/+l$270^{\circ}$) 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 zvc;qt7b 3vo1is 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 firom* rh)/z n3i 7smpnw.es a projectile with speed 50.0 mi3n/7w)m spz omnr*h ./s 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 directe i6opj9kl, mmd 10y4wod across a river with a currentd4o1 om0klimw jy,p69 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 - kij2 /x6dx:pavw*s xwater wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. Hox/-x:6aisp w2 djx*vk w long will it take to cross the river?

  The driver of a motorboat that can movlq*hxblk t8: j8+drl8 e at 10 m/s in still water wishes to travel directly across a narrow l8:dbr+8hjql*lx 8 kt strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading dire ema1 2+p6me.tx)uxs bdqf4 x/ctly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is sweaxdxtm6q.uem2+b sxfe 41 ) p/pt downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite4+9: tdq koq:qq efb+f bank in 6 min 40 s. She is swept downstream 480 m. What is the 9ok4b+ t+q: :dqeqqff speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstte3 4qsr2 cw;eream at an angle of ;e3c4s tqe2w r$26.3^{\circ}$ (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.