Which one of the following is an example of s9,(tmcmj:l :s ef le*a vector quantity?

  Which of the following operations wiyud(7mwo +6j pll not change a vector?

  Which of the following is an accuratl v t9.g0bra3uc8, gbi vvpyk0 is1.*xe statement?

  The resultant of two vectors is the smallest when th2f;dypz :/vboe angle between them is

  Two displacement vectors have magnitud( 1x as1f(i7c zdcfp/des of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of c1xa17 csd(f/zd (ipf the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of tkk7 js:v4*o4 ( fmxoryhe following is a possible answer for the magnitude of the resu4 k*(7 jo4 xvyosfr:kmltant?

  Three forces, each having a magnitude of 30 N, pull on s,ycv iq3 jh(/m e q. rmd1*3izhcqx8,an object in directions that 1,mrq8jicy 3qs/mhzhv(3 x*, de.i c qare $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector 5eys u335:e6nkp nufnis

  Ignoring air resistance, the horizontal component *nw;do/adgic*zu 8 ae7g*m wv3 1zmo 2:lyk1sof a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an ang g ejoa9;:o ctigle:/5/z (ozble of 60e above the horizontal. What/;ao: o lge 9e/t5o:(gbz cjiz 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 acce z0az++lmc-;6h0s uk44j gznx kpa uh/leration /u; x0+-64phhnjskgz acl +0uzmazk4

  A soccer ball is kic/u3 x p;pcpd.jked with 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 an object is directed anti-(0 xtmri2z0wso8uq t 6parallel to the velocity vectoowr(t0si8tu z2 xmq60 r,

  If the acceleration of an object is always directed perpendicular to i ;nvy5vb tle *rv55m0dts velocit v5ey*5 ;tdbvr5m l0nvy,

  At what angle should a water-gun be aimed in order for the water tog6jja(h u,a3rkf;r /q land with the ghrj 6 ru;fj/qkag,a(3 reatest horizontal range?

  An Olympic athlete throws a jave lfbjlwq. z/ ,y. voeghb9;p-;lin at four different angles above the horizontal, eachoz,j.qy h-p;/lb e b9l;f.wgv 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 balywv r gj9.(b(0y:fkt ol for 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 youjrwty9((0o f.k :bygv r first serve) would be

  A ball is thrown at an original 2h i2qgcaf a64q5:vuhspeed 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 maximum6 x4vo4-ul vqsjp7(ke height, how does its speed compare to its initial vo6- uq4(47xlejvp ks speed?

  A stone is thrown horizontall7o)x5ffubu 6l,rltas++j l/i y from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ra6xlu,/uljs+57if lt )fb+oground below?

  A bullet is fired horizontally, and at thb 4:aun1 wrkv5d3tu(,u+ vinxe same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times +wua(bru3514 vnudk:vt n ,xiof fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and ak61 j *y8/ 2,kyzj: lrpj)m fgecii+dit an elevation of 160 m drops ym),dclgk/zrjk6i1pe y *8: ifji+j 2a package. Two seconds 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, and5 i*lrevw7egmr0 *-lvmk ;e(a h 5wqo5 one second later a second package is dropped. Neglecting air resistance, the distance between the falling qvee5kla7vmm -o 0r55he* rw(;*lw gipackages will

  A pilot drops a bomb from a plane flying horizontally ayd fcd567q:udo24qpk* cjfox.0a r5 mt a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location y2akjc0q. ro:df7*4o q 65cm5xdpud fof the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. If rz pdyeje ;g8.aw0(.z2i;cw m you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the a.8.;e dz(wjymw r pzg;cei02ball would land

  You are traveling at 55 mi/h in the +nc4* hgnt930qm z5 uixx axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velo40*t zi cng5uh q3m9xncity of your car to the other car is

  You are trying to cross a river that flo1*p/jqd w(yhkws due south with a strong current. You start out in your motorboat on the east bank desiring to reach dq/ kh(wj1p* ythe west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 362u 1 ,bx50d yoqeslqr0 km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing65sq 2bxr ,uyqedol10 at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees b teei 52idxt/ffz 9n9/elow the +x axis. The y component of A is/nx ze/f2t fit9ie5 9d

  If a ball is thrown witm+z (ukrklkj(kfz2kk;i/ (2 bh a velocity of 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*0 co3xb1n5j7uuiyg t line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east hcujy5t1o 03xig* ub7 nave you walked?

  A butterfly moves with m2v5l xp wq5 icb(d2v-a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the directio 2xp bcli5dw(m5v q2v-n of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a leveosc ooi5u7v+4v6 gl,vl ground. At what angle is the Sun elevated abovo+v ovlg4i,vocs 75u6e the horizon?

  Two vectors A and B have components *np8rd ;9 2gvp-xa mxv(0, 1) and (-1, 3), respectively. What are the components of the sum of the-r ;v8x 9 dnpv2x*gpamse two vectors?

  Two vectors A and B have components (0, 1) and (-1gelfln sz; c:6qdj(.- , 3), respectively. What is magnitude of t;gqsd- l (lzje 6n.c:fhe sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is th w r9,3qpbr4dbe magnitude of C3r ,wpb49 qbdr ?

  A car travels 20 km West, then 20 km Sox.9-hfosqs q,3 /kfwyuth. What is the magnitude of its displacem-h./k fqsox wqy,f9 3sent?

  Three vectors, expressed in Cartesian coordinatecpqor88zn6c2:.c g1mx+ rv uhs, 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 coordinatesxxslg ,,2z.3 z ubhv8h, 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 (/g xaz0.vf quthe magnitude of va(qzxf0u.vg /ector C = A - B ?

  A runner runs halfway around a circular path o/tv+zip 2un ,zf radius 10 m. What is the displacement of the jogz 2/,v+pizu tnger?

  Two forces are acting on an object as shown i5p gkxyakz4j453k/ dz uw9 cpv8p)2bhn Fig. 3-1. What is the magnitude ofgw2zp4p5ykbh 4pk85a 3)j vdcxuz/ 9k the resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is thejtbok48mi7x a ji20y49 a+ a3x.eyxhl direction of tie. jm4tak3 xy 4o ja7by 98+x0ax2hlihe resultant force?

Vector A is 5.5 cm long and points along the x p fnadmm7da:1r -2ei, axis. Vector B is 7.5 cm long and points at +30e to the negative x e-nm d7m,2:rfpd1a aiaxis.
(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 aioa:hlvsdyck+ cn 6i1) cz+ 77nd 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 edge9q2 gbd 4kch1r aud5hn*x y6q3 of a cliff. A stop watch mq c*5q9dkxg anrd 2yh 63b4uh1easures 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 10 m/s, from a bridge. wjctp)qh m9;g 8r43z jIt fr9)t3jm4zwq;c jh8p g alls 20 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontxz(h r3 ny,5xsu1l0ppally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what ypn( sx0z ph1lu3,r5xspeed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an anglq :wotxet2 2kntsemelywkq- 9 556 cg.ian/ )1e olt2 :-xcw59a t.6 g )enikw/nt5 qkyqoes 21emf $20^{\circ}$ 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 jfyjoh;n42mn 5na. +6cl ec7 glump with a speed of 12 m/s at an angle of n+6ejyac onh. lc5lg24fn7m;$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with a4ay5*j(5jskw5 yog03qk68c byf 6mekghe2 pen initial velocity 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 velocity of :bmun3 e4 z5ak60.0 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 angle oflbg. p ij+qixw ;l:t98 $30^{\circ}$ 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 shotjkinn;o5:k*sh5 jtn8xj f rnn:-s .s4 horizontally at 23.4 m/s from the roof of a building 55.0 m s n n;h i5jn8krsjk4sn-xtn*: .5o: jftall.
(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 apxr wm-s; l s6 ;cesm *uwjoa9q,;h7j3t an angwps,u 9-mlo j e;hw7j3sr*xmq6;;casle 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 ca nj/x7o+4b1k+c v0b il ejug.;s7amndn 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 slowsiojvjl1a.0s+d+bb 74gm / ;xkun7 c ne 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 9b+y-osd*mf7: poada in a wind of 50.0 m/s to the West. The plane's speed relative to the ground i7b s+:do-* mdf poyaa9s

  A plane is flying due So 6wwhddf 7 1- ijoh(.uk80idsvuth ($270^{\circ}$) 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 zv7y+a )9ovzjq* c0bi 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 rsx1t ku, hcac4.h;* p f4wvm-m/s horizontally fires a projectile with speed 50.0 m/s in a forward directionpc;1 ax -cuf4wm 4ks*h,vtr .h $30.0^{\circ}$ 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 across a rs00gczr2) irc fk o*6tiver with a current of 6.0 m/s. What is the spetofriz)g0 *s k20c6cred of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to trave2z5 0b9ecm xtaw c3j4kd(e t fk9x.mr.l directly across a river 19c.becem z0mt4k(rf2w t. d3 9xja5k x.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 c 5apfodc:* o(7v nzbq:an move at 10 m/s in still water wishes to travel directly across a narrow scnp : dqz: oaf7*5obv(trait 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 2g*ou 8;9; bc s0lglbjo00 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can shu lbgl9*csjoo 8b; 0;ge swim in still water?

  A swimmer heading directly across ajxbjmw t8+e .i;e02,adi:oab river 200 m wide reaches the opposite bank in 6 min 40 s. Sheaboe ijmeij8bwd:0a2 ;+,.xt is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still wate *v7tevz1/ jcl8eb;sd r is 1.75 m/s, must aim upstream at an angle oflv;/1e jzct8*sd 7 vbe $26.3^{\circ}$ (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.