Which one of the following is an example of a vect.nqz7j r rcw+5or quantity?

  Which of the following operations will not change a h+bod / n5mxi-l0ack6 6dn-lhvector?

  Which of the following is. 9d .imhe7kjc an accurate statement?

  The resultant of two vectn 3rbdex5 5t0p k2nk7cors is the smallest when the angle between them is

  Two displacement vectors have magnitudes .y:lezttl6*t0fuj c2of 5.0 m and 7.0 m, respectively. When these two vectors are added, thete6t zc.j0: l*t2yluf magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the folzi-:3zyte 4.+j;lw kt fmsui ,lowing is a possible answer for the magnitude of e.mitsj3y fz-,zu l4k :;tiw +the resultant?

  Three forces, each having a magnitude ofc)8zl l yvf(c ,w:;t: m2dzfcp2g,xme 30 N, pull on an object in directions that a(zz)lde:lymc8t 2;fx:g, cfwcv2p, m re $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknowndsn*z s,83qh r vector is

  Ignoring air resistance, the horizontal component of a projectile's velociamqo l-3a5ql(4k+x awty

  A ball is thrown with a velocity of 20 mey )d pwmjg 0*a.*nykyws642i /s at an angle of $60^{\circ}$ above the horizontal. 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 a bie2 q5*sfuj1ccelerationj1qb2s 5*feui

  A soccer ball is kicked with a velocity ofg dqhzas 9u56, 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-pak.vx f9regbp)r8td4sg 2 0z3 hrallel to the velocity ves8 24 d0rv.)bxrz3ggftepkh9 ctor,

  If the acceleration / ( nsejkf gstgq;e:*-of an object is always directed perpendicular to its velocityjgt;gsfqek-e:*/ ( ns,

  At what angle should a water-gun be aimed in order f gjy l/dgo8;94fez:6do4jbx nor the water to land with the greatest ho4ej 8fdln;6x9gg4:jy/dzb o orizontal range?

  An Olympic athlete throws a javelin at four differe*m0 cw2,ceevent angles above the horizontal, each with the same swevcm20*, ece peed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 3 yrbn;lyv: x6(cdl w.qnu+0gyour hand with twice the velocity it had od6l+vw .;(xbly: q ny3 ucgrn0n your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original sp-ccf )v v*0scyeed 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, hovx(h pzkys,wcs1 8q43w does its speed compare to its initial speed?8q,3sk4 zyv(cwps xh1

  A stone is thrown horizontally67kdm.ypytq c* ,e 2qkg4rm2y from the top of a tower at the same instant a ball is droppekm q yq226ky4yd *r7m.pegc ,td vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizo:*ir8ousii l4ba,mo2 ntally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall uimba4*2ii rl,os:o 8 of the two bullets.

  A plane flying horizontally at ag(sw6v84f (k ir 0sktb speed of 91.8 m/s and at an elevation of 239 m drops a g4v(8ts f(k0bwrk6si package. 2.1 seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies id-cuzz6u7 yz8/ f+kegs dropped from a plane, and one second later a second package is dr zk z67 uf8+czeuy/d-gopped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a co(dyq * v,cyp 9spsr82x+waov7 nstant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the planep29px(wvvsqay 7cdory, *+s8 will

  The acceleration of gravity on the Moon is only one-sixthobj hv.(ct13zaq -kio n0jt97 of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would qji 7abk v1 c.3h- 0n(jzotot9on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straighte)r mcw0t/ p+*7ji6wpvb og+h, level road and pass a car traveling at 45 mi/h. The relative velocity of y prpgo7ew0b6hw j+/c)*tm +ivour car to the other car is

  You are trying to cross ah kl)0u2k6 +8e dpzn)m*xcknw river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west u+6lpk 2kxeh cd0nnkw)*zm8) from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still wa k3m zkd:.w7bmgk)tf7ter. How much time will it take you to move 12 km downstream, intd7: .bk)fmwg3mz7kk a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. The ur fnlj5lw)s0 9e 9 5u;7kllkn+woye,yll55lw 9un;)s w7 le kej+rnu, 90yfko component of A is

  If a ball is thrown with a velocity of 25 m/sca)bqe(-gopf v/g* *q ay7op5s rrh3, at an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km injilco:s p2.- h a straight line in a direction north of east and you end up 2.0 km north and several kilometers east. How p-so2 .ilcj: hmany degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x ltbglqia:/ 5)cxf) )k component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis mus /:)atikgblq )c5 lxf)t be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what anglshv)c zia26 5ve is the Sv5ha i6vsz)2 cun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respi ; kbu:14(zd)erahtx zb/ yb*ectively. What are the compdak 4* ze (:);/br ubi1xhytzbonents of the sum of these two vectors?

  Two vectors A and B have components do+ds j3(9bin :9w8tf: cqwn j(0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vectoc+w:dn8:99jqsbif3tjo (n d wrs?

  Vector A = (1, 3). Vector B = (3, 0). Vector C 5k edm3 )t d u4/wcao9*e:wwvz= A + B . What is the magnitude of z5dw: veuco4tm d3ewk *)/9wa C ?

  A car travels 20 km West, then 20 km South. What 20wxbrnipb z cp51+j9)i6ihp is the magnitude of its displace zi01j 6)rw+np2icb9iph px 5bment?

  Three vectors, expressed in Cart*/i u,kq q g-/nplfo pdb3;r,s/czn u:esian 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 com befs-z7an*1 rtg9e 3ordinates, 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 magnitudd( cgjiaxr3 7o-z9v1b e of vector C = A - B ?r(xod71 3jzv-g b9ic a

  A runner runs halfway around a circular path of radius 10 m. What is the displaub5of )3x,cfrzy 9/u n;elt3 qcement of th e couxn3b 3,y9ft)/qr5;l zfue jogger?

  Two forces are acting on agmc/r 3w xl0iw pr9);tn object as shown in Fig. below. What is the magnitude of the resultantcwgm;)3tx l 0rri/wp9 force?

  Two forces are acting on an object as shown in Fig.*) + jbg 8c)0rtukunli below. What is the direction of the+8gl0tn )kcrib ju)*u resultant force?

  Vector A is 5.2 cm lon) (cp faap5.pkg and points along the positive x axis. Vector B is 5.9 cm lonca apkpp )(f5.g and points at $+22^{\circ}$ to the negative x axis.
(a) Determine the x component of Vector A $A_x =$ (数值)  $cm$ and y component of Vector A $A_y =$ (数值)  $cm$
(b) Determine the x component of Vector B $B_x =$ (数值)  $cm$ and y component of Vector B $B_y =$ (数值)  $cm$
(c) Determine the sum of these two vectors in terms of components. $R_x=$  (数值)  $cm$ and $R_y=$  (数值)  $cm$
(d) Determine the sum of these two vectors in terms of magnitude  (数值)  $cm$ and the tangent value of the direction angle (measured from the posive x axis rotated in the counterclock wise direction) $\tan \theta = $  (数值) 
Please only fill in numerical values in the above blanks!

  Vector A is 83 cm long and pointnvom89+nf3tq4k 5/7)jkggrj 6hkgoa s at $30^{\circ}$ above the positive x axis. Vector B is 23 cm long
and points along the negative x axis. Vector C is 39 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A: $A_x=$  (数值)  $cm$ and $A_y=$  (数值)  $cm$
(b) Determine the x and y components of Vector B: $B_x=$  (数值)  $cm$ and $B_y=$  (数值)  $cm$
(c) Determine the x and y components of Vector C: $C_x=$  (数值)  $cm$ and $C_y=$  (数值)  $cm$
(d) Determine the sum of these three vectors in terms of components. $R_x=$  (数值)  $cm$ and $R_y=$  (数值)  $cm$
(e) Determine the sum of these three vectors in terms of magnitude  (数值)  $cm$ and the tangent value of the direction angle (measured from the positive x-axis rotated in the counterclock wise direction) $\tan \theta=$  (数值) 
(Please only fill in numerical value in the above blanks!)

  A stone is thrown horizontally with an initial speed of 28 m/s from the edg ibq rt7/ywtfs0f+::wkjd08v 0 k0kg fe of a cliff. A stop watch measures qkw0f+:kt:fg 7 i jf80 vd rk0t/bsw0ythe stone's trajectory time from the top of the cliff to the bottom to be 4.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a vewjig ; vaupx)16xjbv:3ax/ l1 locity of 7 m/s, from a bridge. It falls 18 m to the water below. How far does the rock trave/ g1 6xj)la;pa b3uv1jvixw:xl horizontally before striking the water?

  A ball thrown horizontally from a point 28 m above the g/phhe2 di; cn:u c:la.q6kg( around, strikes the ground after traveling ho::u(a ;ei/cq6d2gl .ncahhpkrizontally a distance of 23 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spi ifc); *0k5zpvz5apxeed of 12 m/s at an angle 0cz;axfk5vi)i*z p5 p of $20^{\circ}$ 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 s)/fx1*h ; 7csi*9 t4vf6mgi3g/aknupgx l luvpeed of 9 m/s at an angle of9ntg1fa6*4f )l mip v* hlgu//c g3isxx7;kuv $22^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 50.9 m/s at an angle oamg- +iu,fci j:jb 0d.f $23.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial veloc92mnx for+n i5b8uda- nb2wne2rnxp;m,;- t eity of 37.5 m/s at an angle of $23.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an anv f 4)fg:j5uvxgle 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 24b rm.dct1nx2dp .i 4(p.8 $m/s$ from the roof of a building 44.7 $m$ tall.
(a) Determine the time necessary for the projectile to reach the ground below.  (数值)  $s$
(b) Determine the distance from the base of the building that the projectile lands.  (数值)  $m$
(c) Determine the horizontal component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$
(d) Determine the vertical component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$

  A projectile is fired from ground level with an initial spd4d jyq*zwkhm .,w) t)eed of 63.1 m/s at an a,w)zdt4.mjw*d kq) yhngle of $47.0^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.  (数值)  $s$
(b) Determine the maximum height reached by the projectile.  (数值)  $m$
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height. horizontal:  (数值)  $m/s$ vertical:  (数值)  $m/s$
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height. horizontal:  (数值)  $m/s^2$ vertical:  (数值)  $m/s^2$

  On a calm day (no wind), xh wv,wpmd-oa0)2g l*you 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 d-am) ,x g2p*wwoh0lvspeed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed ofa bj;e so4awr;5q5al/ 200 m/s due North, and is in a wind of 50.0 m/s to the West. Th rb sj4law;5;oa/5q eae plane's speed relative to the ground is

  A plane is flying due Sout4 )x2wxm 3bwbsh ($270^{\circ}$) 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 w5 ocrmes7mv.u5 lvz ,7,ybw voc 9v;)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 m/s horizontally fires a projectimt:x+ef* n b /o m(cajgm9-.lzle with speed 50.0 m/s in a forward dirm+ cjnf zx-:gbel. / a(mm*9toection $30.0^{\circ}$ 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 dw7 6ci 2apz8pua d3mf8irected across a river with a current of 6.0 m/s. What is the speed of the boat as i 3wcmp auz7p6ia28 df8t crosses the river?

  The driver of a motorboat that cdubfmpiq 97(vlqj2. e8f f4j5an move at 13 m/s in still water wishes to travel directly across a river 1.5 km wide in which the current flows at 4.0 m/s. How long will itl8 iq2edb7(5fj4 juvm. 9pf qf take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishese48jl +(nk bhhdoar cgv*a ,dh6v 5-v; to travel directly across a narrow strait in which the current flows at 5.0b- 4 *(6havnv+vd;k cgjah5l8odehr, m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a nb df)f/tw3* priver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstren*wp fb /tf3d)am 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m widcmhq., ,w+fbee reaches the opposite bank in 6 min 40 s+bfh .c wq,,em. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still watwfbzz1/o +u 7ter is 1.56 m/s, must aim upstream at an angle of z+ou /tzb7fw1$26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.  (数值)  $m/s$
(b) Determine the resultant speed of the boat with respect to the shore  (数值)  $m/s$