Which one of the following is an example of a u7mdul)x7g,bndn (n4 vector quantity?

  Which of the following operations will n +sddhxp ra3o8sq7 (8xot change a vector?

  Which of the following is an/ v/m:e swcun7 accurate statement?

  The resultant of two vectors is the smallest when the angle beepp (fa0vvoovei6- .bnf01o 1tween them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, rc/t93dd6g gad)xtqtu ;of4 )wdr0o i5espectively. When td93dodd 5u gcqx6a tti)ro 4tf/0w)g;hese two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one o qre +f6ze d2.t3i;eynf the following is a possible answer for the magnitude of the resfitz.6e3 2ednqy e r;+ultant?

  Three forces, each having a magni66zqcaqp16v 5 1fzp 1 q9kfxnhd54lzwtude of 30 N, pull on an object in directions that azn qf1 zkf9p65 pv c4q61wxa z1qdh56lre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shownfgp 3u1rb6yc*4of4pv 0u2 cnf, the unknown vector is

  Ignoring air resistance, the horizontal compoy4o1al/xyn /r nent of a projectile's velocity

  A ball is thrown with a wijc* 7zt1 xxk)-h: mnelz(g*velocity of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instz7te) xz wg(* -1m*:nljx khciantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a project8r9yw f9 tdtv0ile's accelerationvtdw89 t y0r9f

  A soccer ball is kicked with a velocity of 25 m/s at an ankf nq)n-f98 -yurm gz(gle 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 ve( ml/jmzjp2jl:u n,5v8d.n : 1tec6b1igby oblocity vec,1j o mblnun5y(1b8tezpjlb c6g.2::dv mji/tor,

  If the acceleration of an object is always directed pdvlnckogah,5qn ,36v ji4o5k +,eu,terpendicular to its velocitn5h 6cge ,jav,3od+q4 nkl,tv,5i uoky,

  At what angle should a water-gun be aimed in order for the water oxt+kxxkd: :1r*z 4hkto land with the greatest horizontal rzhx k :rkt41 +ox*d:xkange?

  An Olympic athlete throws a javelin at f)gje9tt1(v de our different angles above the horizontal, ea)tg 9ve(d1et jch 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 leae// jt3l pc h(agt95y)b injvn5ae.6qves your hand with twice the velocity it had on your first throw, its horizontal range c a 5a)nb pilg6t9j./q5etj3nvh/(ye R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/sr:sv qi4 n4m*e 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 rek kqx4j.7 e k xeq+cw*z;sh4f8aches its maximum height, how does its speed compare to its initial xs + ;4k *e4jf8.w7kkh cqqzxespeed?

  A stone is thrown horizontally from the top of a2.lakrctkr j 9g: 2/vr tower at the same instant a ball is dropped vertically. Which object is travel r92 j.vtk:ca/r2gk lring faster when it hits the level ground below?

  A bullet is fired horizontalln* jw* uci-8 k4ygya-py, and at the same instant a second bullet is dropped from the s - 4jai gcw-**npyy8kuame height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a spo2ya,x 7z9ueh eed 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 theza2 y xoeu7,9h two packages land on the ground?

  A package of supplies is dropped m9thlhvo ne9qq5, i9y s..r)hf2ov9jfrom a plane, and one second later a second pac9rm5ol q) 9,n. 2fjvohhh q9iy.tvs9 ekage is dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontal-0 zy eehe76 +qvn8dkm/ryl-wly at a constant speed. Neglecting air resistance, w+-l6nev-my8qy zd0ek7/ e hwr hen 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.idc59 -ulnpi8gd5;yc *.wfkdz o+t )y If you hit a base 5l)d-zk.8i dtconcip9y;w+ dgfy*u 5ball on the 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 axzxrf/dh,h s vx6tc .13is relative to a straight, level road and pass a car tr,f6cxsz.1v/x h r 3dhtaveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river tk x)dv4gt eyai-pg3+1hat flows due south with a strong current. You start out in your motorboat on the east bank desiring to rd1v- 3 gxkpy a)i4e+tgeach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 9 pfv pwso.c(6i2mp. .t:w vcm30 km/h in still water. How much time will it take you to.9.6: mc m(pos2fti pvwcwp.v move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 de d z) ;)undc-kzejm0s9grees below the +x axis. The y componentemk-) zdsnz; 9j0cd)u of A is

  If a ball is thrown with a velocity of 25 m/s at an angle of rs6+f9e/2ed i4s7ztr xkiz3z $37^{\circ}$ 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 a5+z9 iuz3boeiyyn; c:nd you end up 2.0 km north and sev+395 ;iyuiczb:eny z oeral kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. Th f+ukds8(tfudrk::(s (6 oc jne x component of its velocity is 8.00 m/s. The angle between the directf+rnsjkdoft(duc 6(( us:k:8 ion of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow :x6t7ikhi- fezrh t2-7 wqi0pover a level ground. At what angle is the Sun elevated above the horizon?h 7k-wiiirfhqt-z t0x67e2 p:

  Two vectors A and B have components (0, fc6dayxt5l ku1 8/l4fvemx6x bp.p0* 1) and (-1, 3), respectively. What are the cokb al1p8tv5x.6fem pyd * 6x/f4cx0ulmponents of the sum of these two vectors?

  Two vectors A and B have componentsai- l vse6)z8c (0, 1) and (-1, 3), respectively. What is magnitude of the sum of thesz8s vael-6ic )e two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is thpjel9 1q.bpw-d+0 g vydz5ut6 e magnitude ofdgvzu -d 1l.wt pq 6pe9+50yjb C ?

  A car travels 20 km West, then 20 km South. What is the magnit.b; :/u/ mhewzw v6xylude of its displacemen /w:uxv/;yle6. hz wbmt?

  Three vectors, expressed kyuu3 etnxv+8r 7m 2:jin 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 Cartesian cf + e 3p;)nk7oi.,roll2ptiqzoordinates, 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 = inbb20a/i /i+ k)av uc(+3.0, -8.0), what is the magnitude of +va ci b2kn//iub0ia) vector C = A - B ?

  A runner runs halfway arc,s4b/eb.nx v i sg-/j2c adw5ound a circular path of radius 10 m. What is the displacement of thed a/ sb4j,x2n5 cwc.bvgs/ie - jogger?

  Two forces are acting on an object asvn.kw0x:(;peyuq qo y u( ;nu/tg.( nn shown in Fig. 3-1. What is the magnitude of the resultan(qg:o v(w; n.xkqpn(uyu ;/0uty.ennt force?

  Two forces are acting on an object as shown in Fig. 3-1. v c6x-/vbofe: What is the direction f: /6 o-bcvxevof the resultant force?

Vector A is 5.5 cm long and points along th2qz,z)4 kghdus-d o d*e x axis. Vector B is 7.5 cm long and points at +30e to the negative x axishzu gq)s4d,d ok -dz2*.
(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 anth2tm 7l /n an6-5nblnd 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 with an initial speed of 10 m/s f 0du pklnif/fx v8 y:.pc4bi-.rom the edge of a cliff. A stop watch measuudip.vlif48nk.0:/ fy-cbpx res 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 1+uyj, x1ofi-buw 34 qv0 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel hori3iq4 j+v-1xoufu bw,yzontally before striking the water?

  A ball thrown horizontallye,im ho;9di0g. p aa3h from a point 24 m above the ground, strikes the ground after traveling horeim 3 .ap9a0ho;g d,hiizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into t, n bxxem3)0ybhe jump with a speed of 12 m/s at an angle of,) x0embyx3 nb $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-j6u69l.j sf,j ; skwbjfump goes into the jump with a speed of 12 m/s at an angle of k w6bls; ,js.6j9fuj f$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 6 urnjnwh3 5xp/amg v5q)p)2c 00.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial. i1qbhh ;dt0a 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 8 vb 5toer/-o(zmbkk9at 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 9p -(t21x(jqkgpt 0 (wzn;jyy0nw qsw3fde ;ybuilding 55.0 m 3y; dwqw(f j(n ;z1sxpjw 2e y(gpt9k00tq-yntall.
(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 meiy/:1lp gug(/s at an a:g/(ylue ip1g ngle 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 velof,in4) qh :lgwcity of 4.0 m/s. If you ran the same race on a day when you hqh) fnilwg: ,4ad 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/s to t 0 rr5e kisgoer481j7dhe West. The plane's speed relative to the groundgkj i 10edes5r7o4rr8 is

  A plane is flying du oc7u1 .1/)uph chdmp mkt0an( m29eyze 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 +dua,fewywv lt*: : *jb4a0elis 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 fires a projectile with speed 50.0 p s nm6jp;.f,/mf a;i90mkjo nm/s inm ,;j0 i/sjp 6 nm;mok.p9ffan 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 wa1ub1oc 2ebetc9 ;g;q ater is 8.0 m/s, is directed across a river with a current of 6.0 m/s. g1o9u;cec eqb2;atb 1What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at +q734rbdo pau10 m/s in still water wishes to travel direco d3pu4qb +ar7tly across 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 mohq0x 8i ifxp 6c--b)lbve at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. q0lifcbbpix 6- 8h-x ) At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide f uq-m,0k4ccmreaches the opposite bank in 6 min 40 s. She is swept down -,mm0k cuq4cfstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the 3y42cjele7yjt ( :aw8x p-kiiopposite bank in 6 min 40 s. She is swept down82-ip7y(c3tlwk :x iyjej4e a stream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, musac/nj,.re x )yt aim upstream at an angle ofy)j./er ,n xca $26.3^{\circ}$ (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.