Which one of the following ish1hj/itxz5 h 2 an example of a vector quantity?

  Which of the following operations will not change a vecooj2jimh2.,yb 11 fomet0p :utor?

  Which of the following is an accuraux2.e lj1m20t chmx i-te statement?

  The resultant of two vectors is the smallest when thy2igr *l2jdw -e angle between them is

  Two displacement vectors hav*ayl (c kw o:.t4ek1zje magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are adl w4ekocy:(kjaz .1t*ded, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, a ) .u4n0sf . q:o9komevb7nbopre added. Which one of the following is a possible answer for the magnitude of the reses409noun.of.) vbq pkob:m7ultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directi+i: u nogod7hn-56ivaons thgih+ - o:57av6oiun dnat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkn:;t9dd swuam -own vector is

  Ignoring air resistance, the horizontal component of a p 7gv9kq ejrfjw2ht .6. 9uw8xarojectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle o;v:m3 bq;v tq7ao5mq uf 60e above the horizontal. What is the horizontal component ofqq;;uvat3omv:q b 7m5 its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the h-p 3egq /z:oy 4dsval+orizontal component of a projectile's accelerations +p zda4 :qvg-ely/o3

  A soccer ball is kicked withz tj.u 0kx9qk+(p6cwqw0x /hf 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 kgu6d rae; iu5(bm* 7yan object is directed anti-parallel to the velocitrd6ei a mbuk7 ;5*ug(yy vector,

  If the acceleration of an object is alwa4vjjzf 4 m;,fsg:iwr1ys directed perpendicular to its velocitr ij;v1s:f4, gzfwm4 jy,

  At what angle should a water-gun be aimed iwvgcf8w /w :zo 9cc4,ulq7 k)fn order for the water to land with thek)wu,vc:o8fq 4 79clc wg fwz/ greatest horizontal range?

  An Olympic athlete throws a javelin at four differentp8ya+h:izb+ x *s)-h1 bfevvm angles above the horizontal, each with the same s1ihv e-+)b xs*bz:8fphmy a+vpeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 with m*d;5b1 8 ehmye9rux etwice the velocity it had on your first throw, its horizontal range R (cureedm x* 91b8emh5; yompared to your first serve) would be

  A ball is thrown at an origi qm)2+)bat t.- jg)yobpe-zp knal speed of 8.0 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 fi2m1.j.7wbkirh o 4*gky; 6ymtne kr2bd /,gaheld goal attempt reaches its maximum height, how does its speed compare to .g2m r ;/e,4ojh7ng bbty*h y6wk.dkk ri1m2aits initial speed?

  A stone is thrown horizontally from the top of az vc+,lq p 69xpv4yf-)/wqw ka tower at the same instant a ball is dropped vertically. Which object is traveling faster when it h/4x- kaycpwwq)vp,l zq+f 96v its the level ground below?

  A bullet is fired horizontally, and at then8 dw ,8n-xri0w)a 5mtlqm,lf same instant a second bullet is dropped from the 5m-tm 8nnlw,w, d0raf8)qxilsame height. Ignore air 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 elevp)ty0bx2w :wtation of 160 m drops a package. Two seconds l):x0 pw2twbtyater it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is d2bas o- qu3-u.2xxgyhropped from a plane, and one second later a second package is dropped. Neglecting air resistance,u 3qoxxs- b gayu.2-2h the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at q7:zryw45huv a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal locati: r5zqwyv 47uhon of the plane will

  The acceleration of gravity on the Moo/mt(+ le7sc +4senoio+w xpl1n is only one-sixth of that on Earth. If you hit a baseball on the Moon tne +cew smio(ol +7ps x/+l41with 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, levqc ssrr;, b3t,el road and pass a car traveling at 45 mi/h. The re ss,; cqt3r,brlative velocity of your car to the other car is

  You are trying to cross a river that flo orr0iy9kqf+)gn w1h4ws 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 head you wf0yrk1 grin9o4)qh+r motorboat

  Your motorboat can move at-n( l2v:,ejf.qoxeos 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing a, 2 qo-(fse:eox.vlj nt 6.0 km/h?

  Vector A has magnitude 8.0 m at an an4mkm 6nd s9z:0/ykf qm z 43u4xaeilf-gle of 30 degrees below the +x axis. The y comp4fqy /9zi: udx4m-0kk4 nzm6sefl3am onent of A is

  If a ball is thrown with a velocity of 25 my0qmm0)a ehk 7/s 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 did tde.d ze9d+6rection north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have d6. +tdezd9 deyou walked?

  A butterfly moves with a speed of 12.0 m/s. The xjpd z, s+bv qhx38-8pg component of its velocity is 8.00 m/s. The angle between the direction of i8-v,pzpghx +3 8 sqbjdts motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level grounmlijhg0a 7n16h)1 zdad. At what angle is the Sun elevated ab1h) 7z0 6jinhmaa1lg dove the horizon?

  Two vectors A and B have components (0,9;ed*y rtbo -n 1) and (-1, 3), respectively. What are dot*ry 9;bne- the components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), re7 k (qf 9hv/muv3(gb6lns:prgspectively. What is magnitude of the sum of pb3 vq9uhnf:ms7/(6vg lk gr (these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is th// 3vyjlz4(vnruu 9gz e magnitude o v3 uy/lz4rug /zj9nv(f C ?

  A car travels 20 km West, then 20 km South. What is th9 hzdq8q lc -wy1*w-brgmt a;+e magnitude of its displacementdq*g1wa98m chw-t;b-y rl+ q z?

  Three vectors, expressed in Cartesian qxw9xcfgic00l6iu7 5 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 coordinates.d42pgw4 pu+aff;dqr , 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 magnitux6gsp1cni,- sf .sdhp :) won/de of/ ,wss:gf 1hp- xd.s6o)nc pin vector C = A - B ?

  A runner runs halfway around a circular path of radius 1ahy9 s )7oshg70 m. What is the displacement hy7hso9)7s a gof the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is teh hxrs:2am,lj6y j.7f;eq4 f he magnitude of the resultar, j y aqe62.ef:jx ls7fh;h4mnt force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the direc/:;;eer ( mgrdmmfwn 0tion of the resultant /;mee0f:rndgwmm;( rforce?

Vector A is 5.5 cm long and points along the x axis. Vect pz9 y*6.yfjqa p2bvw/or B is 7.5 cm long and points at +30e toq6pp9fwzv2 */y b.ayj 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 a0vmo itpxm*7 agvqi4 q 5q549a,*giu long 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 with an initialpdb c(* ismz-3 speed of 10 m/s from the edge of a cliff. A stop watch measurespi(db-zc m3* s 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-m:t;)k:o t ): ocn+fo9y -cuonz iye)va9psp 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travelfs - n)v9t:)9mo::otoey+-yzc co )i; uka ppn horizontally before striking the water?

  A ball thrown horizontally from a point 24 m abov y -j*f8f8xzgle the ground, strikes the ground after traveling horizontally a disff-y x8 gz8jl*tance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump9hp 07u m9 q/oi:rvc(ept: kiu with a speed of 12 m/s at an angle or :h 0ip7/:pe9(k9io umcvqtu f $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jumq*os;hggx 4lrzz5wa9, 9,qkmp goes into the jump with a speed of 12 m/s at an angle ooq r4 xmg*lg zskaq99, ;hz,w5f $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 6avhe3k19;avz.vp . lv0.0 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 at an angle (:*uezabw.*fd, kbji;)f ruf of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired n a/xusi z13 h*u*enygr5w7r .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 an+p(: 5qqcq jrv2a1p1qv wdw) building 55.0 m a:d)p(vqr cwjw 2p15 1 qnq+qvtall.
(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 at an :q2x0 iz1r ky2+i8i.txjkzne an2 2y1z0k jz i:qk+x8xitner.igle 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), 5 2yl ,8t(covcugz bo3w1y 0lkyou can run a 1500-m race at a velocity of 4.0 m/s. If you ran the same r5yocc gb,vluz 1 k38yw(t20olace on a day when you 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 a wind of 50.0 r ) nu(b)22vy,wqukwqm/s to the West. The plane's speed relative to the ground ) w w2bknrvy)q2u(u ,qis

  A plane is flying due Sovzc; )h2b /pkkrl0 ,jhuth ($270^{\circ}$) 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 spe hrcll8c-r/03 lga cg*ed 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 y0ut l -ky+hc5m/s horizontally fires a projectile with speed 50.0 m/s in a forward0l h5kc ytyu+- 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 watejow1794zq,k5a o)yw d ycp yg:r is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boao:7y poy,ydwj)qca 9 w5gzk4 1t as it crosses the river?

  The driver of a motorboaxm :.h0e g fo t+n6ds/l4)ycaat that can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cross thxt. 0aa ndcye+l/:6hm)4 fog se river?

  The driver of a motorboat that can move at 10 m/s 0h) xo,ke5h2kw+v d: tbkhl1iin still water wishes to travel directly across a narrow strait in which the current f 0wv:xh2hkk5,t h1kd+ )o bleilows 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 opposito. q,qja7ud sy 2d2dddls34:wt 5af8oe bank in 6 min 40 s. She is swept downsqwsaosdu2o4:7d dty5fq2d3 .lj, da8 tream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reac,t /4lr5xj) 80x0vs h)qk,c;p pw tdu iobmzc.hes the opposite bank in 6 min 40 s. She is swept downstream 480 m. What isjtb4c cl)u d0m r,/top;,0vh8xswip x kq5 .z) the speed of the current?

A boat, whose speed in still w 59wo sml1ef7 ccjsi*k(p/nc2ufg* ;hxa /y 3kater is 1.75 m/s, must aim upstream at an angle of ( px*7h e*fcmn3ks2fyg;kljcwicao5/9u s/1 $26.3^{\circ}$ (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.