Which one of the following is an example of a vector q0 fv0t e meouga+s6uj cg(50f 2m/xcf2uantity?

  Which of the following operations will not change a vectz(dlii z2 +sh;7neqv8 or?

  Which of the following i 0 f; 1wrr)kzgmj ,(ncvwey5-xe* ic3es an accurate statement?

  The resultant of two vectors is the smallest when the angle between them is7/myaub (uba/

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m:iohqtm/o+ . c, respectively. When these two vectors are added, the m ti:com/h.qo +agnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the follow*.h vhprea. c1ing is a possible answer for the magni..hphvacr e* 1tude of the resultant?

  Three forces, each having a magnitude of 30 N, pull 7dv3q+q02amxl 8f kkeon an object in directions that are 0xkva2 8q3lf7 kmqe+d$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector isue7(rspz 64zn

  Ignoring air resistance, the horizontal com,jbhx -yr*j6l16m vbhponent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an fx ,vg::1;viue02 vp mt0yt mvangle of 60e above the horizontal. What is the horizontal component of its instantv ,it v1uf:m pvty00:2xe;v mganeous velocity at the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's accelerv: 4h0i k/+7urc0-4 f/neljfpco kjpration/j ec o/-0n u44ij7fvlchrkkfp:+ r0 p

  A soccer ball is kicked with a 4-;xwsk/(x8woffk s mvelocity 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 directed anti-parallel to theez+ kva kj9da80q7+6 ira8qq idddk1, velocitydddq0 z918,qkjva+ie8 6 +akrq d ka7i vector,

  If the acceleration of an object is always directed perpendicu f.ucbm 1-rac1lar to its velocity,.bacmr - 1uc1f

  At what angle should a water-gun be aimed in order formfjrxj c+ur:69oz5o 1 the water to land with the greatest horizontal raz+ m xrcojfj: ou5r961nge?

  An Olympic athlete throws a javelin at fouri t31o;5b n thz+ux;zo different angles above the horizontal, eab th noxizo1+tu;z;5 3ch with 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 l b8nu0d-*qfar ry;kk0kucq88,iyq2q eaves your hand with twice the velocity it had on your first throw, its horizontaykq8,f-*8 cq2uqrd;0k qb8nyu0 raikl range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle o ci.yv2ibk(p5m cy1;df $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a75a 3*o fovqbn field goal attempt reaches its maximum height, how does its speed comp oab3fqo5 n7*vare to its initial speed?

  A stone is thrown horizontally fromi cdse8 bzm8*(b+a* -sv0uakt the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level m*dkau( ze*tci8 vbas -+s8b0ground below?

  A bullet is fired horizontally, an l:4cbhia:wl 7d at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bulleliah :7bw4:cl ts.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevatio k*ihb oecc;41n of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages land on the ground?e4*kbccih ;o1

  A package of supplies is dropped from a planc k-9/exeu)v2c+gyo9aopv o*, a8 lt/tiot1 qe, and one second later a second package is dropped. Neglecting air resistance, the distance between the fallgc vlu,ck 1t*8 p tt)e-oeoy 2 +o9iaa/x/9vqoing packages will

  A pilot drops a bomb from a plane flying horizontally at a constant spee k yj*pqj*v3j3-kfu.vrpm.c5 d. Neglecting air resistance, when the bomb hits the j*.p.f 5ymjkq33rp* cuvvj k -ground the horizontal location of the plane will

  The acceleration of gravity on the Moo f2b/:k+lkt45)jzp8 gqof ai hn is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effobg tlz +:oh8pq2f) kkajf5/4irt (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 tkcv ;xp-,t.f co a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the othxvcpcf -;t. ,ker car is

  You are trying to cross a river that flows dupr-is z-+nmb2x b8)rf e south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly we)--i+ rf2zbxsmnb p 8rst from your starting point. You should head your motorboat

  Your motorboat can move at 30 8 kir;fakjljuzx jd.30x 3 ;n5km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/hr kdx;u i8;30jnk. zjxf3lj 5a?

  Vector A has magnitude 8.0 m at a-kdz+ nn9zimt ju3t2 5.xlk*an angle of 30 degrees below the +x axis. The y component of A n5- dmat i* u9l.t+nzk2k3j zxis

  If a ball is thrown with a velocity of 25 m/s at an a71; 7llbqxes yngle 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 d+d:)rx )1pculdo 2 bqdirection north of east and you end up 2.0 km north and several kilometers east. How many degrburcx21d:dpo+ ) l)dqees north of east have you walked?

  A butterfly moves wity.4j)yt y5l/3 pv lzseh a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle bet3/l) pt zy.ls5 yvjy4eween the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long d5gvn8e4 xk;g shadow over a level ground. At what angle is the Sun elevated above the horizon?; 45nvg8k edxg

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. dzho973nf;5yf hrj.y What are the components of the sum of these two vect7.3fjzf 5o hrh yy9dn;ors?

  Two vectors A and B have cw o5vjj2p6uk*)3da tbomponents (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two ad6bk5w *2pj3)vo tujvectors?

  Vector A = (1, 3). Vector B db w*l;, 4t8bceopt)v = (3, 0). Vector C = A + B . What is the magnitude o bcptevwo d;,)bl8t4 *f C ?

  A car travels 20 km West, then 20 km Soutfq twrjdyc0q84a-zu1r+* 1/gsbaxu 2h. What is the magnitude of its displace2t1+cua q0qar dr bgu-j1sw x4*/z8yfment?

  Three vectors, expressed in Cartesiap/,w1cpqjn 8 d6 mm6tin 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 coordinatehi*dw+ap)s 3n*iw vu7ka r9aspfc 66 /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, -8.0), wwowje) 0i+ +z1es8n.0pu jip shat is the magnitude of vector C = A - pnu+0j.)esop e i 8w+zsi0wj1 B ?

  A runner runs halfway around a f1oy* spc (6qbcircular path of radius 10 m. What is the displacem1 pyob6cs*f( qent of the jogger?

  Two forces are acting on an ofjq vzr4n( *2ibject as shown in Fig. 3-1. What is the magnitude of the r4f rjiznq2 v(*esultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the64)trb a4hstw direction of the resrwt)s 46t4ba hultant force?

Vector A is 5.5 cm long and poin:qx010j5wc) guifo8 u1cq u gits along the x axis. Vector B is 7.5 cm long and points at +30e to the negati jf5c81g 1 u:0ugq cix)0uqoiwve 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 lonfl..pg0d.jw,wx h )oy 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 speed of 10 m/s fr r.w34nd f.amiom the edge of a cliff. A stop watch measures the stone's trajectory time fro.n. riwdmf4a3 m 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. vx : n o lublyx9-5mq:apvt2o/b6. ef0 It falls 20 m to the water below. How:oub2p/byl lv. 65mova0tn:-9xe f qx far does the rock travel horizontally before striking the water?

  A ball thrown horizontally fromrd3cd1k wj )kgne93 (q b8(wh3nbrk 9q a point 24 m above the ground, strikes the ground after traveling horizontally a distaw)3rdw 1egd3b(kbh9k89 jqn 3r(n kcqnce of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a 7c*x+xvdz/:ri;u awa t:rn/ j speed of 12 m/s at an angle of ix*uz;rwaa7c: :/dn+vt /jr x $20^{\circ}$ 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 speed of h.youe :mv)dec0 9pp912 m/s at an angle 09h )p.yvpdo e um9ce:of $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocc7.8u 6t8n hi k1tullxity 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 an initial velocityd 2nvml)tr-im7 i* dz3 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 a4u4+ 3vza jmk*ne gwve+gaopu6.0t/b xr4f9 fn 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(vio 9f9b6rfa/s from the roof of a building 55.0 m t(fv 9brio 9a6fall.
(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 d: 5snu)5d hegan initial speed of 55.6 m/s at an angle of s hdgn5:due5)$41.2^{\circ}$ 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 offa/dbi -r gxpmh )+.sd1p+b9e 4.0 m/s. If yo.adfhx 1ip -+gb/9) sbpe+mrdu 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 would take you to finish would be

  A plane has an air spee(vrqm 1 hzk hm1xdkeaq67 (o1-d of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to tahq qh1 m1(kreozkv(17m d-6xhe ground is

  A plane is flying due South (stu:z;oh d( :pcsjb12$270^{\circ}$) 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 kfbpr) f1i.tbz -)gm4da z((vkm/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 2 sz6b/bdv q(kbl)(t 9y00 m/s horizontally fires a projectile with speed 50.0 m/s in a forward direction vtl6 b )y(9 /bz(bkqsd$30.0^{\circ}$ 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 dirhik 54,za:ny 1kwtsozj5/4qr ected across a river with a current of 6.0 m/s. What is the speed of the 5:,nzs1/rjh kzwa54 kqto4yiboat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water /6.8qdrkcneu8 kgh7fpf+*lpxp /w m 6 wishes to travel directly across a river 1.6 km wide in which th7 dkp c8fpmwngh/ * .qp+kxe6 /flu6r8e 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 m3m 7/p sgf8fbsq(zp1)j,ptwe /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 thef1fpw (bz3essg8/jp) t ,7mp q driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite ban,s: /vxmguaz+ k in 6 min 40 s. She is swept downstream 480sx av+/gm, :zu m. How fast can she swim in still water?

  A swimmer heading directly across a rq j5nf)qd36ep4ysw;fmgq2 e0zl0r z1 iver 200 m wide reaches the opposite bank in 6 min 40 s. refq 13f 0d62 w nqejm0zqplzs5g;) y4She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, mwg2ey ;s5t5h lfuh+r .ust aim upstream at an angle ofh5s2r he wtfuy+ ;.5gl $26.3^{\circ}$ (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.