Which one of the following itm)7s *a3zxb+nj i0 qls an example of a vector quantity?

  Which of the following operations will not change a vectop 9m4h xoo+vy;r?

  Which of the following is an accurate state6r dze)+:s f0e9qs cfoment?

  The resultant of two vectors is the smallestmajx rmk v9ts3m (1;+q when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. iz-i*pil wz+ . When these two vectors are addeii- lpi.*+ zwzd, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, ,)fy)vq :kqmi are added. Which one of the following is a possible answer for the magnitude of the rq, ))iq vkfmy:esultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directihe j6qq-8 0omx4kiea6 ons that eqi qaxj 640o86kmeh-are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the uh1z3bk6vu b *8ilfm fpqh)h/-nknown vector is

  Ignoring air resistance, the horizontal compml1 :vs12sib/us -.pntm 3uetonent of a projectile's velocity

  A ball is thrown with a velocity om/ke ;78yx+*azarfenf 20 m/s at an angle of 60e above the horizontal. 8enr/kex7a+fa ;m*zy What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's accel70.g /kppskcyoz0o tpq 8w0. aerationoqagy. 0k pp/zwtc07s 0k.po8

  A soccer ball is kicked with a velocity ofnl zp2g-yr5za0h(( nv 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 ;uyu:y *vh,b*4vp apa ad9 o(ris directed anti-parallel to the velocity ve ;a4( avhu9pvo,:a y*pry*bud ctor,

  If the acceleration of an object is always dike:ox gd xw-c)5tv e c5y35a0yrected perpendicular to its velocit-)oy yxc0v c5ak53tgxd w:ee5 y,

  At what angle should a water-gun be xk4q ddfb,y27 aimed in order for the water to land with the greatestbx4d 7kyfq, d2 horizontal range?

  An Olympic athlete throws a javel5mcyamm am-ta+c b/h d,10q/l in at four different angles above the horizontal, each with the same speed/cbcy+md-/0m1,a aq5hla tmm: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a bm er 3f8cn2 jcrlx wx,5:c;p;call for the second time. If the ball leaves your hand with twice the velocity it had on your first t n:fxx3;rc c m r8,c5jc;2pewlhrow, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an a9 *0hxse-odyuaqg8x( o8c;86hdw x l jngle 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+w e740vt qbmx ;e.mj23l1kj, g wodua goal attempt reaches its maximum height, how does its speed compare to its initia 07m,w.aguq l3te+djewvjx kb 14m2;o l speed?

  A stone is thrown horizontally from the top of a tower at tu(4xj fl9hjl. +;m mhkm :ghb+he same instant a ball is dropped vertically. Which object is traveling faster when it hits tfj 9llb(. h+m +g;:hk mmuhxj4he level ground below?

  A bullet is fired horizz6g,ow s 6+tpsontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistancez+s 6stg,ow 6p. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/sy9j- a94v araq9lx(nl and at an elevation of 160 m drops a package. Two seconds later it drops- xq(a n9ryva4l9j9la 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 s qhhp.c9j7rjzf83i h 1b iel02econd later a second package is dropped. Neglecting j ph 8f0z9crebii3 7q.jlh 21hair resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally a)*)ey09 2ppbif5otf1a5k hwbvke zx7t a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal loca y xi ba5f75v))wthf90 2kkoz ppbe1*etion of the plane will

  The acceleration of gravity on the Moon dyd4/kdr ;ww h7/es3q is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at d/w ew3;/kd4drhsqy7 the speed and angle) that you would on Earth, the ball would land

  You are traveling atbm rxazuc; 63k si/-1e 55 mi/h in the +x axis relative to a straight, level road and pasz6exc b3 /km-i ;ausr1s a car traveling 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 sokp3lk7x(rb 0uuth 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 p7u r0l3 pk(bkxoint. You should head your motorboat

  Your motorboat can move at 30 km/h in sw ulvhe0z7s: 8)x-eq etill water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/hesq0 v:u7-zxe8 lwhe) ?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below tona7 uixxk98 i4 +rx5qhe +x axis. The y component of A qi ax45+r u8 ox9knix7is

  If a ball is thrown with a velocity ofrj p*ep kh3;l1ob:-b f 25 m/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 i o /j-h q8x5thhjex3-an a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walkhox53jx-q8j/eha- ht ed?

  A butterfly moves with a speed of 12.0 m/s. 3y0uy-8 yehwal:ek5 p The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis mlyphe0uy 8 yeaw- 35:kust be

  A 400-m tall tower casts a 600-m long shadow over a level ground. 4t v,/5ku az 1yscjlj2 0iex6m At what angle is the Suv2al/s 4yxijjck mu60te 5, z1n elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivelgwizl3 e,/au7y. What are the components of li,za7uw /3gethe sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1,pstcrr3c:3)hw .j* pud ,rvs * 3), respectively. What isuvr s rtsjp*pd wh)3c 3c,.*:r magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Whafgcfho 5s;3-tt is the magnitudeo -s5ftgh;3fc of C ?

  A car travels 20 km West, then 20 a+4rhplr )7w lj8,- x+u vpwqokm South. What is the magnitude of its displacement vp+,r a7plw+q)u8hjr wolx4-?

  Three vectors, expressed in Cartehq77dd8gc6 qh j5ac e.sian 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 Cartesianpi-p(tl ;y 7lsf. -fjo 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 = (+33gy imv 3ylkk d/)898*;w ctlnlo:t k(vl6cgy.0, -8.0), what is the magnitude of vector C = A - B*/ m9lko y)klg l(ingvy83d:t63w8cvclt ;yk ?

  A runner runs halfway around a circular path of radius 10 m. What is glzicy 5a 7x5(2espu* the displacement of (5ec7zgpyuia2l5xs * the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the mgc+ 3b:lbp8y,eu-kjtekvp7/agnitude of the resultave - 3 yc7bepbkt+jp: u/8lgk,nt force?

  Two forces are acting on an objecbv+oz2 qmqk v hwbz:.ciz3b/p6h (24wt as shown in Fig. 3-1. What is the direction of the resultant force? b:4 w3 zhqkozcv2. mvpbhzi2/6(+bwq

Vector A is 5.5 cm long and points along tgwl s6m:d)z,u.i5m bqhe x axis. Vector B is 7.5 cm long and points at +30e to the z,sudmlb.6 igmw)q5: 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 long3e2yo m;33nh e1opuc2/adwa g 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 initial s49q fkb1,eko ohd. hh4peed 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 thehd.4k1qhbh,ko f9o4e height of the cliff?

  A girl throws a rock horizontally, wiwhm trcgv p)+b5an9;; th a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before strimwh; 9atc 5)+;bnpvr gking the water?

  A ball thrown horizontally from a point 24 m above thc))t ntn x7 t*p 1xun4pvy9vs,qnsy45e ground, strikes the ground after traveling horizontally a distancss4) , nxcp7uv49v1yt n5*x yqt)n tnpe 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/ssnjd )2pzgz9/9mf3wnv t) zz1 at an angle zj sg) 2 zd/nwn3tvz1m)99f pzof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long ;q),bm,)u n ,hmlurl9a 0cjqz-jump goes into the jump with a speed of 12 m/s at an angle rb auul; cqqn ,mz)jm0,9)h,lof $20^{\circ}$ 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 oqk)t:tu8dp8. gp b fg(f $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of hl26 4, j ormfwtq5 fu)yj-pv860.0 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 ang.e 48 .j q+(yo foxxh/1mdmtddle 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 55.zi3s8k71)wqdaiq /c u 0 mq1ucq 78s k3)w/iiazd 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 leveu -0gwn+ ip*wep. i8ptl with an initial speed of 55.6 m/s at an angle ot p+n0 i -p.8ipe*wgwuf $41.2^{\circ}$ 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 velocity of 4.0 m/s. Ifdd.bw v5j:m rnby-d*4 you ran the same rac *m 5b.v-n4w b:jdddyre 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 5a)o,vpy2f h4q 0.0 m/s to the West. The pl fh4q),2yaopvane's speed relative to the ground is

  A plane is flying due South2nx, n )sufqpq 0talw 1u()g*q ($270^{\circ}$) 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 is headgl lx+4bqh(3 f 2(k .knb+xkvxsl)tg9ed $30.0^{\circ}$ 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 ho79nqe( nxea88huu7t/s dy )er rizontally fires a projectile with speed 50.0 m/s in a forward direction n7sy8tu)r7nxhu /q9dee (a e8$30.0^{\circ}$ 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 acrossl5o91;m(v(r0q )eodtg8otgw xg1q zg a river with a current of 6.0 m/s. What is the speed of the bor1t0(d g5 oowl(egozv9gm;qq x18tg) at as it crosses the river?

  The driver of a motorboat that kxvfjj fp),.b(,b,qxijo 0*b can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which0o, j),bxf vf.,j jibqbp*k( x the current flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to54 m-q1w( h(2sbx 4b,dq)trwuhaiyzp travel directly across a narrow straru)-x(1tq5bwq,zy bi4 (2mwp4hh sdait 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 reaqf( mlu(i +z9zches the opposite bank imz(f9zl iu(q+ n 6 min 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 reaches the opposite bqhy45/qg (9na euo9;o d.ouxbank in 6 min 40 s. She is swept downstream nbox (4equ/hg ooy;a99 uqd.5480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream asqvkz z us(8n)p/*1vp 8i aje)t an angle of se i)*n(pzj paksq/v88zu1 )v $26.3^{\circ}$ (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.