Which one of the following is an example of a vector quo pf3tokcqe c3aby*9 3:m u8j7antity?

  Which of the following operations will not ch/)l3e+t .wa4-t vt hb5qvbaacange a vector?

  Which of the following is an accuraheq t+xcp/-i0te statement?

  The resultant of two vectors is the smallest when the angle betwee(j+6kk5sp3e l kx8, g s4wqcfvm;, pmcn them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, renkj0*33 :w+izu zwf- *yvojbsspectively. When these two vectors are added, the magnitude of the suofjs*3 wkwbj:un 03y-ziz*+v m

  Two vectors, of magnitudes 20 and 50, are addxb/ m+f7)lpfj *cy,caed. Which one of the following is a possible answer for the magnitude ox*fp b,f+7alc/c) myjf the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in direcicwuxy .g8t2r(w1b55 pm :nbmtions tham5b.xnuw2 :mwyi(c5gp b8t1rt are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown*.sx(t yzfo.y)x 8lgk vector is

  Ignoring air resistance, the cj p1lrv1 w0q-horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 c7 o;1seal-if m/s at an angle of 60e above the horizontal;c-foli 1s 7ea. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projec(qk g7t ggzb/6tile's acceleration(qb zgt7/k 6gg

  A soccer ball is kicked with a velocity of 25 f*enesnna3z )e ,kc z-gu;;m- kunr3 4m/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 dize1re.f4:b*5 gdcl phrected anti-parallel to the velocit1 e. f4lb*dzhp5:cergy vector,

  If the acceleration of an object is always directed perpat;-jg6n ce ::a 7ebtrendicular to its velocitc rjg-7eea:t:6nabt ;y,

  At what angle should a water-gun be aimed in order for the water to land fi f;+ cmoed -+nsie/am49m(c with the greatest horizontal+ef/ imdc49s-i+mm afo; cne ( range?

  An Olympic athlete throws a javelin at fouqg4zcnw4 i9 w(r different angles above the horizontal, each q(4 iwz 4gwnc9with 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 58du2o:lk nsp the ball leaves your hand with twice the velocity it had on 2sld5o8 p nk:uyour first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle ofgd 2zth g5:qmc/dn5+;je /k he $35^{\circ}$ 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 :4vtkoc8/ p x);a sexlmaximum height, how does its sp eo8lpkvxc/t x:)a 4;seed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a 278-58c ofgfz *mavjqwj t yg)ball is dropped vertically. Which object is traveling faster when it hits the levc 5agf*j vwjgmoy78qz f8-2)tel ground below?

  A bullet is fired hor t * k2fzin+5hz)sl+efizontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall ofhef 5l nz*k)+s 2tz+fi the two bullets.

  A plane flying horizontally at a speed xkwr/b 1z8/nt . xufb,,4 vspx vu9mc9of 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 package xt kxz9cuv f 1mb8.sv/uwr4bn9/ x,,ps land on the ground?

  A package of supplies is drop895 tjfrchf 9vccyd 64ped from a plane, and one second later a second package is dropped. Neglecting air resistance, the disc9 yh dj8rtf9vcf 654ctance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at ap( (m*p3x7p6wfnh fatd;p8ie8z b/ fd constant speed. Neglectin*8 67a3pd(zf8pp(tx ;/hd bw inmfpfeg air resistance, 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. jz74ne(nj) k8cy ,ncn If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Eart k ecncn,zj)n4jy(78 nh, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a st6rp3jxf 0eg wbx,i94iraight, level road and pass a car traveling a ,j4 ii3wrfb6xge 09pxt 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a rkv t2fu6n m4q;g7p c(fe twa7m68hny4)*ennsiver that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. Yw6enek n f8(y2qtn f*pum7s7 ;vmc h6t4)4a gnou should head your motorboat

  Your motorboat can move at 30 km/h in still gwc. ,tvpjds-(n8k ,mwater. How much time will it take you to,kd.jm-ct s p,vwg8n( move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 f,ti2tuyec )/ qb eg*7m at an angle of 30 degrees below the +x axis. The y component of A isf*t 2/tiygu),e7 bceq

  If a ball is thrown with a velocity of 25 m/qet/ bs:wxge(3q 4 (tas 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 you end ua 4(re9xyagi8,9ll udp 2.0 km north and several kilometers east. How many degrexailal y(g, e994du8res north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocit owv i wh0* d;ccbgnn/4+p.qt )50sdlry is 8.00 m/s. Thewr/d 4s;.5cqcb v w ntghd+loin)00p* angle 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 level ground. At +c :3m1.ay;r 6f ofpj3qx-9 h qvijrsy5lmgw9what angle is the Sun elevated above the hori93qsfxpl5qhvco wr+ij 9- 6jy.m1f:y ;magr3zon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively.dl/z l34m lk/a What are ll/m34d/klaz the components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivelky3mxp3s,fdi ld)56, cuu j1eltk 6j( y. What is magnitude of the sum of these two vf3lyct1l ,ux , 6uks3dk6j( ep)5jd miectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B .mr t55 4c--ot0tel +sdeqx2ko What is the magnitude oft0o5l42ckrexs-m d+ 5e -ottq C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its diii8;owxvb8 )gt4ttqi d6vi 0w no:2 -nsplacement niqxnv b0-) o 6tioiw4ti8gw ;:vd82t?

  Three vectors, expressed in Cartesian co15+hlfjv ;r lhordinates, 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 Cartesian coord9w;1 ir-azx b.swo+ ieinates, 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 dz dw .:fhlcn314het6of w3td1 ne .d c:hl4hf6zvector C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the z )/byc*q fw2gdisplacementgbyq )2f*w/z c of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is thvbv j ,jni-g, vv14k+lhcu;w. e magnitude ofkv4.uvc ljvh, ; +g, ijb1w-nv the resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What i6t 0ukzho.6hbs the direction ofzh ut6o.bh60 k the resultant force?

Vector A is 5.5 cm long and points along the x axi gd5qx1q. t;8(jz)c3zu d3qnq ze;iu bs. Vector B is 7.5 cm long and points at +30e qqj 3q5 )b xid3;g ;8zuuzcn(1dez.qtto 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 an mg 8953xwhru0moxhr* d 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 winx3)s/7kjksn (if. cpth an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's tcf(n 3 xss7ni) kk/p.jrajectory 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 vi .rj)p:l0wvl t;m lbr;0 8ays)iov5ielocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel ) ibs r0:i il;;8lwpmyv0v)a . jrtlo5horizontally before striking the water?

  A ball thrown horizontally from a point 24 m aq( f.iw ll(z,obove the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it thrown?(fwz , qll(io.

  A jumper in the long-jump goes into the jump with a speeoy6 she+f( 5p:c 1oyiyd of 12 m/s at an angle o5yif:6+ syy(o1ceph 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 x:q0xsk wu .a:zvq o 9v1j0n 85ixo7fju-gc/qspeed of 12 m/s at an angle 5j0 o x qw 0q7kofug8zx v.::q9j1 /vicxaun-sof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launc1sc yt 0 (qnrlb:lpx:o9nk3;.6waqr ohed with an initial 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 with an initial velocity of 60.0 m/s at1kju1w6,2 fynxe) l 6z;3byg; ptkewi an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is firezdm 2/4l;j(wlh 2 jxrsd 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 roof of a m/8lgn swa4-dbuilding 55.0 m tall./n8a4s wldg-m
(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 initid 1m) ehimc0/hal speed of 55.6 m/s at an angle of mc )h/1ihemd 0$41.2^{\circ}$ 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 velocit8c;9+rr:fyw t;mnd s dt g5-qly of 4.0 m/s. If you ran the same race on a day when you had fygd+;m58tlw c-n9 rtqd: sr;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 50.0 m/sjb x(-cytam tz ,8b ca,n3an 8,u*rcr9 to the West. The plane's speed relative to the groun*n8-,,cazarnca 3rbub,ty9 mtjx 8(cd is

  A plane is flying due South o 7;.c1j3cq +ouoluom($270^{\circ}$) 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/z2)9qeqep9lv w)g3a 6fe pa;xh 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 horizontau samn1o- oi kh4aew r6l)pg0 j:+v-n)lly fires a projectile with speed 50.0 m-n e6uip+sl ))nvhaawr 0:o1-mogj4k/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 directed across a river wit gi7/8p zzhqa+j5u6z rh a current of 6.0 m/s. What is the speed ofgj58u7 z6hz/ + aqprzi the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishewwck4 3vhyo-zbs6:4a s to travel directly across a river 1.6 km wide in which the4as k-4vz63h :oycb ww 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 ip(rph 0cen:y)h *gc2xal00wjj 8 a6u3xs)i yd n still water wishes to travel directly across a narrow strait in which the current flg(3jlp a0)0 s dc0px wj:uch *h28xr)n6ye yiaows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading di1n)byyd/pn62lw e0u :j w o4wsrectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can sh/y u62w0p ewln nb 4os1:dyj)we swim in still water?

  A swimmer heading directly across a72vrv q;0uzk,wgs 0wv river 200 m wide reaches the opposite bank in 6,vz0uv7s2grv0 k q;ww min 40 s. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in 0i s0ra1lc-uastill water is 1.75 m/s, must aim upstream at an angle of sua0 rlac-i01 $26.3^{\circ}$ (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.