Which one of the following is an example of a vector qu.si bg:(rtst+antity?

  Which of the following opel6;r h.wktvkpu,xf k j )y,00qrations will not change a vector?

  Which of the following is an accurateb c 0fu ylb:-)c5k0anyybdu7; statement?

  The resultant of two vectors is tye qj1vxo55 prpcp+v 4bbcrp 7/344gihe smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectivhab *6uw5xp3jg.g xr 3ely. When these two vectors are added, the magnitudehg j.abxu* 63rpx5 w3g of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of ;k.8jagdaoz;/o/bfk the following is a possible answer for the magnitude o;8/./ azdf;bo ajkog kf the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directi8thjo8k)lynfc5n ;m( ons that are ;tn 88y)hl( 5onmkcj f$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown ve3hdk 6-byu jf.ctor is

  Ignoring air resistance, the horizontal component of a projectile's ve4jll l.dcj3sp8vy-w *;:zx ad locity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above4. t3sl/6:0gwtys o1e/knfud zn mm,k the horizontal. What is the horizontal component of its instantaneous velocity at the exact top,towsnyk d3 emk s0tzg :l//n.14mu6f of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's acceleratit)k jm:o2 yc+qonqcjmk+t:2o y )

  A soccer ball is kicked with a velocit7 b(h1c4b occe9j/zcoy 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 isy; r:0d tg22 z (p,;keefrrx4txfzjt8 directed anti-parallel to the velocity vectorz rx,r:ee( jkff yzg02dtxt8;p2t r4;,

  If the acceleration of an object is always directed per9o) 41wfrtuv s.0tfkdvy6 e q7pendicular to its velocity,4ty7 f6ftvw0k )q.u1svdor 9e

  At what angle should a water-g7w*q mcuc b71yn-wbu )un be aimed in order for the water to land with thequ *n7)7 wcub mwbc1y- greatest horizontal range?

  An Olympic athlete throws a javelin at four different angles above th.ztib pni/44ce horizontal, each w4zpn .cb/ iti4ith 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 leaves your hand with1mrv;p y+nz8z 3bnc0 jwi79cn twice the velocity it had on your first throw,3jbz c 9r 7ym;180cnvp+nnwiz its horizontal range R (compared to your first serve) would be

  A ball is thrown at an o)q6q9sfnp2b9vwle3 mriginal 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 field goal attempt reaches its maximum height o, g2x)rkyqrzscuf1q65+4 qh , how does its sp6s )xfrk2hrqq5o yu14 q+z,cgeed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower arzyga v+ 5*7oht the same instant a ball is dropped + grv*5hazy 7overtically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontalherob hx3q: 1buc 8vs3t2dh+cf w92z.ly, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. C9c32hv+w b3 e1 zf:qb hxd2rtsh8.uo compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.b ,td*r: ost8n0 m/s and at an elevation of 160 m drops a package. Two seconds later it dro rtnb,o:s*d 8tps 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 lan64yj/2fwij)v )y: nidly c; nter a second package is dropped. Neglecting air resistance, the distance betwy4/f)l:niw)j n6v jcn d;2yiyeen the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a conn5ju-qo/8e of5wf u/j stant speed. Neglecting air resistance, when the bomb hits the ground the horwqo/uj558 no/feujf-izontal location of the plane will

  The acceleration of p8mze9a7fk / g/3wsebgravity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moonw 9pfakgz/eb8e 7/s3m 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, level trn46h4 :03aeht9kde ul dqnw/5efx4road and pass a car nrnw4q eukh4/6095at43l : h xfdedettraveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong curre*ny: .lb0lexm nt. 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 y*nl0x e lbm:.your motorboat

  Your motorboat can move at 30 km/h oja( w5e)n,sp in still water. How much time will it take yjseo)p(w n5 ,aou to move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude6pitop hd as15: q+l32: x9ueu1bbzgf 8.0 m at an angle of 30 degrees below the +x axis. The y component of A is953+ fh bz1ogilexpqbt1uup ad6 s::2

  If a ball is thrown with a velocity of 25 m/s wm9xf ik n-rl /q6 *8inlfz;o:dbm*8fat 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 directibcw;w5 gv, ry x.oig8;on north of east and you end up 2.0 km north and severalww;y bxg ,.i85gocvr ; kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity is : oz* j84pz+n mmbo8os8.00 m/s. The angle between the dir8:m+jo ns oo8b *mzzp4ection of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At 6nd)o) qi +kk.zub )psr4mx3fwhat angle is tkn+ 4 )upkqz bmsi)dorf)3.6x he Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What are 8 v04gko .+ :ffplr19ggrwqje the components of the sum q jlr . :1ofp 9ggf8grwve+0k4of these two vectors?

  Two vectors A and B have compt 7txacj,w5t0 onents (0, 1) and (-1, 3), respectively. What is magnitude of the sutact0 wjt ,57xm of these two vectors?

  Vector A = (1, 3). Vector (y xx;9f.3qgyziw b8 m8r4bddB = (3, 0). Vector C = A + B . What is the magnitude ow9g dix zb.4(;q8y8frbd mxy3f C ?

  A car travels 20 km West, then 20 km Sout b0gub.i6xm4 gp1 ;bhqh. What is the magnitude of its displacement gu;6imgbbp1hq0bx4 .?

  Three vectors, expressed in Cartesian coork 9. lbop m)3hxe)wt3rpll4gq-8diq-dinates, 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 Car qvn(k 9cr/mck k(e-6etesian 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 the m.5vio ykbp8o+ agnitude of veo oy8bpi k+5v.ctor C = A - B ?

  A runner runs halfway around a circular path of eo4zk(gilew i p6+cx drxqg,t 867*oa/7 ;djr radius 10 m. What is the displacement of the joggeg xlewxr6e*4t , o jd/a+;8pkizdr( g7o76cqir?

  Two forces are acting on an object asaf 8c;jovj9xo zi -3;9xf,wco shown in Fig. 3-1. What is the magnitude of the resultant foj9o 3; ;x, cacf8o ioj9-wzvxfrce?

  Two forces are acting on an object as shown in Fig. 3-1. Wha .yvultl6*x: ot is the direction of the resultant forcet* l y6uol.:xv?

Vector A is 5.5 cm long and points along the x axis. Vector B i;+2 j ma7sasbcs 7.5 cm long and point ca 7sa2+sjb;ms at +30e to 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 long a u+ y,2zs+4 jpp:yzgkfnd 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 from the edge of f h2;)tsielk x7s2l h ;o0d:yna cliff. A stop watch measures the st0xf7y) tso;;d 2:nl sh2 lihkeone'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 10 m/s, from a bridge:w-v 6h ntkp v8p8gpf+szr0m 3q8iag5 . It falls 20 m to the water below.g 3afpnp i mhrsp+w-vq8 0 z856kt:gv8 How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from au-6v;rc aztxm)2up3j point 24 m above the ground, strikes the ground after traveling cux6;u2zpmtjvr) 3a- 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 k .i/ 6xh8lkdlw5mrc* ynr k+/at an angle of lmwnk i c/d k6rhl. /yk8+x*r5$20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-t(p )yx*ud.q bjump goes into the jump with a speed of 12 m/s at an angle oq.t x* b)(pdyuf $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an angle ;h : +5glwbg )qw2sn(jxcod .pd4gfc) og17jtof $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 60.0 m/s at an au2xo. bvcyy8v y))l-cngle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired atw i4as.4x,;g q vik4cjf 0pp:t 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 a+28z k muav0/5yfygawt 23.4 m/s from the roof of a building 55.0 m tall.vwga5zf0k/a82u y my+
(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/o 9bjfcj 1bb6 55.6 m/s at an angle j9fc bobj/1b6 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 (m,dwrfwq r -,can run a 1500-m race 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 wow ,, qw(frm-druld take you to finish would be

  A plane has an air speed ofb m+lu.7y,s+qmh / kce 200 m/s due North, and is in a wind of 50.0 m/s to the West. The pyb+km 7hs+u/.eqclm ,lane's speed relative to the ground is

  A plane is flying due South (wxj, 9cucffa da*xr) 5 -f)i:d$270^{\circ}$) 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 fcy;m4vw+ +mf+w e69kr1x t kccx6j1ckm/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 sp;cx 5wzyyf67jeed 50.0 m/s in a forward directioyfz; 5cxjw 76yn $30.0^{\circ}$ 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 direc(upi3nzxrpi c0yi(3+ ted across a river with a current of 6.0 m/s. What is the speed of thex piy0pc3uz (+nr ii3( boat as it crosses the river?

  The driver of a motorboat that can move at 10 m z1txymfzhs anjh90a8i67.o8 /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 7h8.tsf hx6aa z8jon zy1i90m cross the river?

  The driver of a motorboat that can mx):5ag/k .w1hqap te pove 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. At what angle upstream should the driver head the boat? .gakx)5:e q1tpw/ahp

  A swimmer heading directly across a river 200 m wide reaches the opposite ban d/wzl1(6,/bkrwzs su k in 6 mi( du/l6s 1,wzs/bwkrzn 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reachesymzn9dtu paz ci).;2- the opposite bank in 6 min 40 s. She is swept downstream 480t2 yan9)d-p uz.i;zc m m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at nu2. *z*x+hjk9wdywe 77vtxw an angle of 7+td kuw. 9xjw2ez*x w*nv7hy$26.3^{\circ}$ (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.