Which one of the following is an example of a vector quantity?-ai3ite bsqyz1zod73 (rz/gdjd : ;g3b60mkr

  Which of the following operati+a) /c:ucfzvkons will not change a vector?

  Which of the followin k)7d 0.mx 3mnddxlna 593 sonsv8c4bjg is an accurate statement?

  The resultant of two vectors is the smallest n pz qg f+w)cy)qz;*-fwhen the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivelyrp1v/4z e5lti . When these two vec4l/iz 5rpet1vtors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 501mwl,e *zq5 xz, are added. Which one of the following is a possible answer wleq,mz 1xz5 *for the magnitude of the resultant?

  Three forces, each having a magnitude o-o:c- s67+ s)5ppcvkagxb vm uf 30 N, pull on an object in directions th-:g)s7 vu5v b cpo+paxck sm6-at are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector;n:; 8wgiu xi4 d7fepc9;xpaj is

  Ignoring air resistance, the horiis.xp,5 z:/af rie,l zzontal component of a projectile's velocity

  A ball is thrown with a velocia/2ejrmim*wh/ - ,hdov k i-f;ty of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous veloh,f -kiojv*rhimd/2 ;wem /-acity at the exact top of its trajectory?

  Ignoring air resistan jipla .647k1q.r(9 aboqbzdece, the horizontal component of a projectile's accelerationl4i b1qa6o(.rjzaq eb7 kd9.p

  A soccer ball is kicked with a velocity of 25 m/swu*1lp b,q 9*:wwnvs h 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 vecj+qwwmd , 3o:qtor of an object is directed anti-parallel to the velocity vector,3 j,do:q+mwqw

  If the acceleration of an object ismwl,a y:3v 5rauto6 *uau-o l2 always directed perpendicular to its velocity,l5ou *:a2a-r3m y6 ,vwtula uo

  At what angle should a water-gun be aimed in order for the)ti0xentr v z26d 3-cq water to land with the greatest horizontal ran2vn3t-c q6zt ird)0xege?

  An Olympic athlete throws a javelin at four diy u4,sjo u)4d j5e8nmf1 ups1afferent angles above the horizontal, each with the sa4 su5j,s oepd1yf4u 1jm)una 8me 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 cet 2+.sws d5*qctnj6for the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your e sdn +5q*jts c.2c6wtfirst serve) would be

  A ball is thrown at an original speed of 8 2f5b2ro2fg 2rlxg zr(. 1tq9mgz1zk) ;z ifzk.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 goalt ,x2*mlxza8u attempt reaches its maximum height, how does its speed compa,mxla* xz t2u8re to its initial speed?

  A stone is thrown horizontally frc)-vuu:3,xanxtg 0 csvv /ul8o:j;hxom the top of a tower at the same instant a ball is dropped vertically. Which object is traveling :t-ax:3jc , gs;l x0u8ou)vnchvxu/vfaster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a seco1e 1j4voa zx/tnd bullet is dropped from the same height. Ignore air resistance. Compare the z4vot1x/1e a jtimes of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation ofc9-z ftz -xbb+f 9tuy8 160 m drops a package. Two sztz +xby899utffb - c-econds later it 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 second9q9j37mn fi.mwy 3du 4rp0biz later a second package is dropped. Neglecting air resistance, the distance between the fal3y0dbj p nqw fzim4r mi97u.93ling packages will

  A pilot drops a bomb fr *i)0;ppk/jag xonkjwq lp-bvrd7 19q6cc2d- om a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontj-0dj1d-p9q w*/cxgonlr; )7a2 vk 6pcq pibkal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth fop,*k u(.ydtmz s2b;of that on Earth. If you hit a basebal.tzy2, ;uo (dpkmbs* fl 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/: -vla*;jb y,8v )mxgr6eypifh in the +x axis relative to a straight, level road a-r:p)af;vbyge8 i,j6y vxl m*nd pass a car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cro xjx yg7gwp0:n8yw3 x wh*p-d3ss a 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 wx dg087wy3g3 -hn* xxjwpy:pwest from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. pip j0p p:nc;2How much time will it take you toi:pp0c 2n p;pj move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 erdfbar)j*8ae/3r ) qzk io;; m at an angle of 30 degrees below the +x axis. The y component of A isaf)jier3 do *;q8k br e;a)rz/

  If a ball is thrown with a velocity of 25 m/s at an aj uk. o6)-+m lr4vsachngle 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 h5gk:+t*z ;2obiiygb you end up2okbg5it+hgi * :yzb; 2.0 km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x cs/wvmn5gtjk) f 3k2u:omponent of its velocity is 8.00 m/s. The angle between the diregkm fkn:sv3)t2wj/5u ction of its motion and the x axis must be

  A 400-m tall tower ch w/-dp3(d* ,ahufrj injtl1c 0gyf2( asts a 600-m long shadow over a level ground. At what angle j adn/w( rf*hyh ,2jgfd 3i1 -t(pl0cuis the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectiv 2o vs.*6mnmnybs+hvd o+w:/ bely. What arebhbm +ymn d: nvo*+2 6swv.os/ the components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3k 5d myy ay31c((zkf)a), respectively. What is magnitude of the sum of az d(k 3fky5m)y1ca(ythese two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is th6d13aqa6 qdmj (3u jzie magnitude of qajj 6a6(z dq313udim C ?

  A car travels 20 km West, then 20 km South. What xhn691owl is; is the magnitude of its displacem ;s 9wix1oln6hent?

  Three vectors, expressed in Carte83kguq 0k.d cpsian 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 Ca*3 ( dhvvqak)wrtesian 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), what is t l* .euabd;:hqhe magnitude of vector Cql*d; be:. ahu = A - B ?

  A runner runs halfway around a circular path of radius 10-4gctotd t,p/+9b,8mvnc +fj ax3txh m. What is the displacement /tt+n+jtcbx dx fo-tg,h c8pma49v,3of the jogger?

  Two forces are acting on 99blrkm63 pw4;amzwu qa:t g.e(f nw2 an object as shown in Fig. 3-1. What is the magnitude of the resultant forr. mp32;6 4t l fawaqwwube9g9mzkn( :ce?

  Two forces are acting imjc n5z8(e)oon an object as shown in Fig. 3-1. What is the direction of the resultant fore o8(z5icn)jmce?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 1xv 5xph2a8: mx8:roym(crl t cm long and points at +30e to the negative x axis.8yxt5 :mr8 oca(xrvm1:2lh px
(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 lojfgx-+l; zcx3d ptt0,ng and 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 wis6 pg u h1ngoq.oa*ff5gi4)q9th an initial 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 is the hnig9gfq6f .5o*ph4sug o q )1aeight of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, from amqq: x9 -dvy3z bridge. It falls 20 m to the water below. How far does the rock travel horizontally before striking :xq-zvm93d qy the water?

  A ball thrown horizo,z562aekak+ f 1k6hifr 9amp92fvcfuntally from a point 24 m above the ground, strikes the ground after traveling horizontazfv2epf+ca kf9m ki kha u6r9261af,5lly 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 sj:1u5vc 6enhgle ofj6:5 1n sehvcu $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-juj kvo x;q,:3p z.lrdi:mp goes into the jump with a speed of 12 m/s at an angle jr,v.i3q :;oz:kpdxl of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial vurb0b c. s6,ivla36pvmq v -p2elocity 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 anef kl;ni2(pugz 93f +a 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 an6h6 :f8d b0a(u*gbsi k bhwz4egle 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 building 5dft,3arokcd ;c /hs9)5.0 mh9 f /tds 3ac,cr;odk) tall.
(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 ini6(frrv )yn 5t,ro xe/xtial speed of 55.6 m/s at an anglen rero,x6x5 () vfy/rt 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 velo2l v, 7n7hpz:rjil f a(mr06olcity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows youa6zhp0 ir: mjv,ll 7r2f7l o(nr 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 *m:g9uh2b iz tkle) v(xj. 5brwind of 50.0 m/s to the:*h95 )mkbev i( 2 gurlx.zbtj West. The plane's speed relative to the ground is

  A plane is flying due -ump,h f8pipgu7s9.;,xb ant 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 n7,nrytig, yi, e37ka 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 horizontally fires a projectile with speed 5mr fso6k.4gru k rj..30.0 m/s in a forward dirr g3.kk oumfj s64.r.rection $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed i1ysm o x+l +i6* wnpf1ki os,992wvffxn still water is 8.0 m/s, is directed across a river with a current ysox,6 9+m s12pff1x *oiw k9lwfv+niof 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorp bjz ;yb;l,n4boat that can move at 10 m/s in still water wishes to travel directly acros jpyb; ln4,z;bs 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 movuv3s ;,ckhj4 oe 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. vh,skc 3o;uj4At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposifo*.qyv lx 68ote bank in 6 min 40 s. *o. 8loyf6xqv She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposqzmv2 w vzzgp7 yw+ h3qtm25*,ite bank in 6 mi5 ,ypw wztvm vz2*32+q qzhmg7n 40 s. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aizad,c1pa*i5 x8 y-d xb*e cy0xm upstream at an angle of bcxa*ep*-8 zi,xy ax5 0d1y dc$26.3^{\circ}$ (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.