Which one of the following is an example of a vector quanpqw-;c;lpb0bv2n lt 4if: g vp1u2; iltity?

  Which of the following operations will not change a vectoyfov-+aq q ;dce zw,+u63riw,r?

  Which of the followingmjz/ 2+c1xueoqok e-qvl l)90 hi d-,c is an accurate statement?

  The resultant of two vectors isw gmnjay.)h hvq8z;*8 the smallest when the angle between them is

  Two displacement vectors have max 2o. bj)y w4*kh8k1.xkljoxignitudes of 5.0 m and 7.0 m, respectively. When these two vectors are addedw*k4xi).k jx2xo1 .h8 kj lybo, the magnitude of the sum

  Two vectors, of magnitudes 20 anp+)hup5 y xc3sd 50, are added. Which one of the following is a possible answer for the magnitude of the resultch)p5+3xy s puant?

  Three forces, each havingoq .ih:/m:yt,jyry z m52gu p1 a magnitude of 30 N, pull on an object in directions thatyhz , qm5j2rig /o: yp1ym:t.u are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector l3o+l lwk5gvqyb72 4 pis

  Ignoring air resistance, the horizontal component of a projectile's velocity*-y pc 40oj0dkj wwa0(ar1saqjrd,i9

  A ball is thrown with a velocity o9 d lspz:.kcv9fx:u ,df 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of iczfpld, kvu9:.9 :s xdts instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component ofl 70cy7 vyzqn6 ,-8m,czrlt yn a projectile's accelerationr 6 ,-yltyczn zl8m,7 7cyvqn0

  A soccer ball is kicked with a velocity of 25 m/s at an angle-mq2p 2 ah5u l9rp gmct60:qckqxizrr6 ;ur7 ) 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-paralle if(uu;;/t4wrq oyi,0.6w y dof6gbbbl to the velocity yq,f oo6gw ;iufib;64(/y dr 0bw.utb vector,

  If the acceleration of an object is y/0il5o ao vl (k6vbp(ugr5r7 +tzm m9always directed perpendicular to its velocitl 7 (90zvu/5 vlkgo b +pirmym6a(o5try,

  At what angle should a water-gun be aimed in order for1.:ez)/k vag3kr dlqo the water to land with the greatest horz.:r)3 eok /d 1vlkqgaizontal range?

  An Olympic athlete throws a javelin at four differentg 5dn4 kvbze7: angles above the horizontal, each with the same speeek4vg bzd 75:nd: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 hand *e)7tj +-wtj8nliq2fi 5 ryeawith twice the velocity it had on your first throw, its horizontal f iw)5 i8ela- j7yeqtjt2+* nrrange R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/sv jiy7w d ( w7 qq.sny;i/01yhuelq6;d 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 does i( )xpyl 1h9 mnaaq6/wqwi)q:kts sph lq k96p())q:wiayw 1nm/aqxeed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a balrm(g0 l r2l zgk1(q0dxl is dropped vertica qr0lg(gr0 ( kdmlx2z1lly. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same qir.t:dbi 0bev u,r28r:pe6z instant a second bullet is dropped from the same height. Ignore air resistanc p0rirb: 6qbr:2v,u z i8te.dee. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 /9cdpe1o ri5r+ zg:eb m/s and at an elevation of 160 m drops a package. Two seconds later ici51bpger+r9:z /d e ot drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second lho 3wxpmo f2 fq*a/t87ater a second package is dropped. Neglecting air resistance, the distance *w3 mof 7atx8/f2hpoq between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a co01fw9 oeavh 8lnstant speed. Neglecting air resistance, when the bomb hits the ground the horizontal l 9vhew18oal0 focation of the plane will

  The acceleration of gravity on tq:rt+oyn.xk (he Moon is only one-sixth of that on Earth. If you hit a baseball on tht+.nrkox q:y( e Moon with 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 axis relative to a straight, levvz:76edsgrqk :9.morel road and :796k rd:esrmo vqzg.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 sop(wxbql v-7i61km9 due south with a strong current. You start out in your motorboat on the east bank desiring to reach tiw1 -mvbxslkqp6 7o(9 he west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How mu o52n:fwwfpsslmb8e 2h jx690 ch time will it take you to move j8:s 2nfe0mpw l b9o fhw5sx2612 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 3qwfhrm *wx(7(p c 1 o:lq0pfb: 5lke-c0 degrees below the +x axis. The y component of A ibxeqr 0pklw5(q(-f:pclc :mf* ho7w1 s

  If a ball is thrown with a velocity of 25 m/s at an ang /++ t8atpfbyxlac5n 2b.h8elle 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 eah ,8.ihxii ,past and you end up 2.0 km north and xh .8aiipi ,,hseveral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x cofxmr5hiq +)+8 l(l rw x)fps:tmponent of its velocity is 8.00 m/s. The angle between the direction of its motion and tp)w(x+x+lfqm 8r:if s5rh)tl he x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what an6lw) w 8(df ehkbd7k9kgle is tk 6)wb(h9kdk7e8wlfd he Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), kh 5v2z7m*phx respectively. What are the compone*2 hk phx5zv7mnts of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. 0p16g9x r l6az qr2qrk What is magnitude of the sum of these two vectora1x2rz6 6 gk9qplqr0 rs?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = Acp+yj2/i -u sd8bek.u + B . What is the magnitude of dks2c+-eb j8yi/upu .C ?

  A car travels 20 km West, then 20 km South. What isf0ctpzs8c 3:n(ubvq 4 the magnitude of its displacemcfs4n:tuzv0q( p bc 83ent?

  Three vectors, expressed in Cartesia s frffu6/hw octt346:n 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 Cartesi fy*2 )gqi2fde.eqlo 5an 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 = (+3.0, -8.0), wha9l1gh*eo7ta, g f*qm4 4qtgv ct is the magnitude of v*eo fg9,q1ag *4tl4g7vt cm qhector C = A - B ?

  A runner runs halfway around a circular pa;n.(kv upb2n+d g 92dn0satz uth of radius 10 m. What is the displacement of the . ;(g uu dv9p0dakbsnn+nz22t jogger?

  Two forces are acting or.0u i qyfii3q 9a2 lu;8*gyyln an object as shown in Fig. 3-1. What is the magnitude of the resulliy r2.;*8qya9fugq 0uly3i itant force?

  Two forces are acting on an object as shownqe(7 dmk;aj*g in Fig. 3-1. What is the direction of the resultant force?a7*g(q edmjk;

Vector A is 5.5 cm long and points along the x axis. 1fj ktru1;(ny2kp na2 Vector B is 7.5 cm long and points at +30e to the negative x k2t11n;(nrp yuafj 2kaxis.
(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 /5upokq/ ntc5 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 anoq)xjzhble4xjg- (. zoyj ak1d p.;hg/49 b5 n initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's zh. 5a(ho1j 4/4njygjq; egbzx- pkdlbx.9o )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 s cgio.l 0/zof8s4ubwam5;f 010 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizon5/0lcuwo;0zisf o f .4g8as mbtally before striking the water?

  A ball thrown horizontally from a point 24 m above the grouna+q5onzz mi kt3cn// 2d, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it thrownik 3 nc/ 5zqa/mnot2z+?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an vulbi)8gt3dy9* q)1j y2bmb rangle o8ytb1v bi*3 g9b)uq jyrldm2)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 into the jike c3l/ko +wk0x 7ceiw 3l:6qump with a speed of 12 m/s at an angle of qeilw3ko/c3 w kix7c 0l:6+ek $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an an-ne: sdl 4:x9qop /i6jtzsh;lgle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launchedwcb n2, j+.tvb7avddr3v3 6cr with 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 angles5,4dipqk+;jq9qk ou 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 thxp1 (8 y2zr hcif3/dgse roof of a building 55.0 m gp z/dcxyfs31i8r2( htall.
(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 4tw 5iw 0t*klfat an ang ft t05lw4kiw*le 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 racen.odgj r r)71lxsw. l1 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 would tak1lrodn )sg j1.l.x 7wre you to finish would be

  A plane has an air speed of 200 m/s due North, adyi;0zo :23gi q0mk uvnd is in a wind of 50.0 m/s to the West. The z d30 i;y0g2umvq: kioplane's speed relative to the ground is

  A plane is flying due South ( -m5iq9zbrpr, k0jl(p$270^{\circ}$) 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 qd/by12pznm5gjw 07his 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 2eu 51dfs 83ttq00 m/s horizontally fires a projectile with speed 50.0 m/s 1fd te3 qts5u8in 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 directfsa 7e *)wqox*p;: kz+ usgf- 2igm5iyed across a river with a currentpz+wf - 7gokxqs i)u5e m s*fagy*:;i2 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 wishes to a-psu ffpv p;(c,5 vw2travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will itau f-2cppp fv (5;,wsv take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still j)tft (g)jsujd 6z2h .water wishes to travel directly across a narrow strait in which tj6hjz )u.) 2fjg(dstt he current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the (5 5x2wyqfxm nnxa4 ra.h 9;szopposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in5hw qfy mnn94 r2xx;a(x.5z sa still water?

  A swimmer heading directly across a river 200 m wide reaches they.zwgl 3:igt cn e98y4dh i0t8 opposite bank initl 9:g eytci.h0 gy8n83dwz4 6 min 40 s. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.7fc/00q8xhn vl5 m/s, must aim upstream at an angle of cl8/hvq0fn x 0$26.3^{\circ}$ (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.