Which one of the following is an example of a vector quantmp)zxjtk/ l+3kzm k3nw d1: if; xbt4/ity?

  Which of the following operations w(7vapn:v 6i7he yoeg )ill not change a vector?

  Which of the following is an i8 pjn 7vp5c1ob69tj laccurate statement?

  The resultant of two vectors is the smallest when the angle between th t eu(- /m(ox.x-mn-iu sg-afsem is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivbqeyrgufo1 s*s0.(:q ely. When these two vectors are added, the magnitude of*0(of esqq g b.rus:1y the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the f jnluh+0lo4y +jm :v f-4s5lh gncat51ollowing is a possible answer for the yghn-faj4+1mt o nu:+ j5lhvl5 04clsmagnitude of the resultant?

  Three forces, each having ayp1 vnn9,qc/ ep- hlr2 magnitude of 30 N, pull on an object in directions that are qpn r -2lpny/1,vhe9c$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the utfd5 ldyd3e)b fpi29/pp/- qtnknown vector is

  Ignoring air resistance, the horizontal component of a projectih,fg-0s*gi 5 lb,tvbr,m hw ,ple's velocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above the hofagb/5m*ce 6lrizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trajectom/b afgce*6l5 ry?

  Ignoring air resistance, the horizontal component of a projectile's accel/uve65)2bl0u s pb 7)mewmyw jerationep)vywsm/b)0bj e 75wm2ulu6

  A soccer ball is kicked im uyyu2kpoh 8 :)ue4/with 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 direcbt-(05cctep2;u cvbte on5intho6 /: ted anti-parallel to the velocity vector,pto6c5t5 hetet: bno c/nu-;0 (2bicv

  If the acceleration of an object is always directed perml*miml2hw p1at h+(5 7n.mttz *m+ xjpendicular to its velocity, +m5tli h mm pn 72l1z*jth+*mwmxa.(t

  At what angle should a water-gun be aimed in order for ;, *onw *kna)q9ff,au bwlg,dthe water to land with the greatest horizontal akb)n9of,,qw*g;u * anw fd,l range?

  An Olympic athlete throws a javelin at four different smpn sd ;d:0 k:;sxgdzhk n7/;angles above the horizontal, each with the same spednss;/m: snxd ;kh;07: zkgdped: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 lid(ksf(koz; ;fxbr// ne yf d,)7 mzfzx4;j)keaves your hand with fk ) jrk;s7m;f fxy/4f)id (nboez( d;zkx ,/ztwice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8o6a/v xu*kksrab:y 7/.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 (ocviti86-ik ugo :1 t(zg ce)0;niuf field goal attempt reaches its maximum height, how does its speed compare to its t0ie fic; 8ut1:g-kig(z6cn(v) oiu oinitial speed?

  A stone is thrown horizontally from the top of a tower at the same instgj vr0j2cj8 s ,tvq6mk(t-aj7. /+otvqdym/w ant a ball is dropped vertically. Which object is travevqmt2w t60/sm, /+kjvtojvyj( 7 -c8qa.jrdg ling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the hrkd;g9ih )o, same instant a second bullet is dropped from the same height. Ignore ah9h)oi;, gdk rir resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an - +5dzi0pgdfso 6qj d6elevation of 160 m drops a package. Two seconds later it drops a second package. Ho-id+d6fqjp5 o60dz sgw far apart will the two packages land on the ground?

  A package of supplies is d r*.lzhm i6v)hq0xn5wropped from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packag5m i lnwhh 6xzvr.q0)*es will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Neg+sh ;9lu9l.xf gvrw b7lecting air resistance, when the bomb hits the ground the horizontal locar;h9bvl fsxg. u97lw+ tion of the plane will

  The acceleration of grah*g77c ca l6ujvity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that yoj * 6gha7cluc7u would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, lev1f,b:u1gxfw .mtbugq *b-f2 xel road and pass a car traveling at 45 mi/h. The relativeg q1b: tb*f-,.2w1ux muffgbx velocity of your car to the other car is

  You are trying to cross aklushd-k y/ ): river 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. You should hea /d-)yku slk:hd your motorboat

  Your motorboat can move at 30 km/pmc6 5k95 wok(st7gakemm+2nh in still water. How much time will it take you to move 12 km downs +7 ks25tg(ko n6akwmmpm5e9ctream, in a river flowing at 6.0 km/h?

  Vector A has magnitudkt **upccn) mt) * asf21j+ywd aieu):e 8.0 m at an angle of 30 degrees below the +x axis. The y compon tu)iem1+yuc a kdpj t2can*w)* ):s*fent of A is

  If a ball is thrown with a velocity of 25 m/s at an ao 1cogc-1o2utcf 7p6xngle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a strs0q6mn+g;5d p vz-rsha a 4j*c+,nsjgaight line in a direction north of east and you end up 2.0 km north and severrg5szn s 4phm-j,*;daag vj+n06 qc +sal kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/zg-gcjv .w;y itc*m:.s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the cgzv;.:.i mj-wt*cg y x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what angg;k/ 9km4ukby :6c xwpzx0 jh+le is the Sun elevate cwxzk64x;/0p9g :hmj+kuk by d above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), resk. 85j,eus dha(*c8 kp*sn ygfpectively. What are the components of the sum of these two vp(nyku,s *d 5* jaekfgc8h8.sectors?

  Two vectors A and B have components zdu,h3j0sk;v (0, 1) and (-1, 3), respectively. What isj hk 0s3zdu;v, magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B =n4f8/+w1cqprf bd)c-ffu s 6u (3, 0). Vector C = A + B . What is the magnitude 6ffn4ur)dcfc s/bpufwq -1+ 8 of C ?

  A car travels 20 km West, then 20 km S,xfhz jlpz*u(+u 4a1( t/smsdouth. What is the magnitude of its displacez zsutsf 1aj/d,(p 4ml ux*+h(ment?

  Three vectors, expressed in Cartesi gqnopmv mo25-h2ey(( an 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 coordinate9gkkxv 80fvd4h r2l+s yb- o-4yzcm+m s, 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, -8d nal nlnyh2 bo 8;/lh.p8g f-(d,ldt2.0), what is the magnitude of vector h.8d(nlll/; pf8lbo,h d2ga yt dnn2-C = A - B ?

  A runner runs halfway around a cir-ujo14y) mjl:v zwur3 cular path of radius 10 m. What is the displac3uw1-ry jv uz:ojm4 l)ement of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. Whrc6o azc;u5 7,mgl(qiat is the magnitude of the resultant a,(m5crlo ;qg cizu76force?

  Two forces are acting on an object as shown in Fige21wa-ln (y6nosx *lf . 3-1. What is the direction of the resultananxslny 1we(fl 2*6o -t force?

Vector A is 5.5 cm long aude)2 o z.j.land points along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axi.auz)d2jl e .os.
(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 a6akmr 8d3c ao(nd 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 s,l64zp/k- ,l6rr ywbv et 4a:v7.z f. hrdxsxxpeed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory tir6,4ykds4xbrvt7 p h wr/l6 f:v ae,.xx.z-l zme 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; q tvluadr z1w5dt.(- -e7slv of 10 m/s, from a bridge. It falls 20 m to the water below. How far doz;1d lud7-ea.rq vl(swt vt5 -es the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the gro2ywop(.g4*uj lia - xpund, strikes the ground *4 woug2p-xp.jayi ( lafter traveling 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 ; x o.d5l(s0ao31k3lcyekk /6ummn npan angle /1 63.;cs5xe ( n 0kkmkmdupylon3aolof $20^{\circ}$ 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 sped;2/40fixsezbute; a l abh. +ed of 12 m/s at an angle ofi ufahx0e+4ztl.;as /;b2bde $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s ataadm m 2ih71s+ an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an ini7ot;hnc0u t32af0 gsstial 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 fireecmrstf p4gq8;73k v9z/vbz 8v6 t )mzd 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 ofdv6 4sxk /mx8a a building 55.0 m t8am/ xx dvk64sall.
(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 a6derv v: x*dp*t an angle ovrdde xp:*6v*f $41.2^{\circ}$ 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 wint2 5edgi:a1x9 liq:q yd), 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 ielai xtq 2d9:1 :gy5qyou had 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 a1h*jtk x u*i,bydfd)9 wind of 50.0 m/s to the West. Theth*)x,kj*i9 d b1yu df plane's speed relative to the ground is

  A plane is flying duerc5kez ,. t9zf 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 spbww c-t;v f8b(eed of 120 km/h 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 hda x.m(ui m6t3chg.ejol :6: morizontally fires a projectile with speed 50.0 m/s in a forward direction hc:aloi3(mg .mm6judex:6.t $30.0^{\circ}$ 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 riv n;y501*uo6q7ea/gk e kj vxxter with a current of 6.0 m/s. What is the speed of the boat as it 67g;/ka0nv k1t e*ojuxyq5excrosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes t7 jvnjv is1wn3u23i )io travel directly across a river 1.6 km wide in which the current flows at 5.wi1 vn27juii3vn 3j)s 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 stij axo-xmw s8y.;n. 7qsll water wishes to travel directly across a narrx8js a7my.w nxs;-o.q ow strait in which the 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 rey tl ue5lu00c:susn;:i:tdt4aches the opposite bank in 6 min 40 s. She is swept d ::el0 5n st:ltu;yud4stcu 0iownstream 480 m. How fast can she swim in still water?

  A swimmer heading directly aki(h5ev9 spf5n5h/q.z pkaf6cross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Wkn h(vq5 55h9e. 6 apfpk/fzishat is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an anglep7tzau w q 84gc:ujd.m:v3z;c of jvz:; 4q p7czm:u cwdg3.uta8$26.3^{\circ}$ (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.