Which one of the following is an example of a vector quantity9 nilg6 ez-ah4?

  Which of the following operationsab +x72n(mc pa will not change a vector?

  Which of the following is an accurate statezwbl r0:k4ryvoivi60ya )o ; 1ment?

  The resultant of two vectors is the smallest when the angle betweel2zx;h caxs87 n them is

  Two displacement vectors have mg +iii hu,i6h*agnitudes of 5.0 m and 7.0 m, respectively. When the +iiu ,6hg*iihse two vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, 04o8rd8q)f vjjokd fx s51jj*are added. Which one of the following is a possible answer for the magnj*0 fqfj sxvkjo4d)1r8 85 ojditude of the resultant?

  Three forces, each having a .m pbhe98yp4c 8;k u.c04mtll)aqo cumagnitude of 30 N, pull on an object in directions that are ecokq.y; tbh c8apu l0.l8m mu4 )49cp$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the 5lcp(jd6fk7q gpjn;8/ gqbzs)lon)( unknown vector is

  Ignoring air resistance, the hori8aof ahg.+guu nk5e; -2c otev-r( tk8mflr(4 zontal component of a projectile's velocity

  A ball is thrown with a velocity 8x8kfm6kjm(r7y2w l2tmai2w0,ad fb of 20 m/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 ho 7zd fwdmy::(x:b: k*fnt6g yvrizontal component of a projectile's acceleration xky6mf :ztdb:: dw7fgn(y *v:

  A soccer ball is kicked with a velocity 4 ;zq0b+re09+i gxcsy2njw. (lpnnvkof 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.8udd 7+av gi0yi ajr9 object is directed anti-parallel to the velocity vector+au i9y7. agjidr v80d,

  If the acceleration of an object is always directed perpendicupay xaiqlp 3;*u3u4w5lar to its velocitpqi ayp34uluw*53x a; y,

  At what angle should a water: tt ijc:t./.4lnvaj r-gun be aimed in order for the water to land with the greatest horizontal range?lit:rj:. a. vc/t4tnj

  An Olympic athlete throws a javelin at four different angles avi /cy96x ss/:zebz k,bove the horizontal, each with the s9z :k/vs,yicz/ x bse6ame 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 s1 9wibyq1b5 qw y+jz9jecond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizi5jwjqby 91z 1yb +qw9ontal range R (compared to your first serve) would be

  A ball is thrown at a8 ,b+ :k)l4duinc 0it kazx5bhn original 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 i*y :5crc j*+(cwjyeq xts maximum height, how does its xj+(qy*r5: *w cjycec speed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the uzp)9 n hcz7,:yo8kbk same instant a ball is dropped venbp,8y zk7:h 9okuz)crtically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horiz4 rr gecp0ii89 53s bdcfe7*kiontally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two bulbi dc8k3e7*r 4i9sfigc05erp lets.

  A plane flying horizontally at a spma*tktpn - /(keed of 117.4 m/s and at an elevation of 265 m drops a package. 7.8 seconds later it drops a second package. How far apart will the two packages land onmpnatkt (k/-* the ground?

  A package of supplies is dropped from a plane, and fff/;ziv0(qtoly6+ c re+/y mone second later a second package is dropped. Neglecting air resistance, the distance by v f //e+;q( t0+mffzrloci6yetween the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. tuf te +s v(c2fmx,me194nfi+ Neglecting air resistance, when t me2miesu,xffn+v(c t +49t 1fhe bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity oa d 4e5bn+.ef b(o*prwwtjbcqp39+6t n the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (+bb (fotp96 +n q pe3w5ewb.ctj4 dar*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 relatives e pk*u 8.3gclxt6sn- to a straight, level road and pass a ca6cs*p-ng. 8 t3uk xlser 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 dx. rdb+1siahr4q (rn:z( ca2/* xc vxtue south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west frdxxxr+a ira(.4n /tvc(2c1sh b :*rzq om your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still wate ka9kkt3qq4g( r. How much time will it take you to move 12 km downstreaq( qa3tg4kkk9m, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 sq)k3p4 p9w yvdegrees below the +x axis. The y component of Appw4v )yks9 q3 is

  If a ball is thrown with a velocity bmfk;kkt/v-1of 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 in a direction north of ea6 2kr8mayf h,r79 ejl0ybw a+ r7xp-vtst and you end up 2.0 km north and several kilometers eas-yea6w rv2b prlj, 8+9yk f7am xrt7h0t. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of itsrj f5n4-1 docf velocity is 8.00 m/s. The angle between the directj5ncf rd4f1o- ion of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a k lw 4ojeq3:jijzbk:6fan-w5o;z 6 l0-. n pcllevel ground. At what angle is the Sun elevated above thej en6pl- w o34bz.o-a5ljiw :jnk6c 0:zf;kql horizon?

  Two vectors A and B have componentse;hd wft3; q;o va8g d3t/z9yn (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vectorw zod39t d e;nfv;h /t83;qaygs?

  Two vectors A and B have kw,gvr8 7gjs0e 5hj5e components (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vector,8v5hgrj5g7s jekw0 e s?

  Vector A = (1, 3). Vector B = (3, 0). Vecjt z+(y-+jtf4r- urx ytor C = A + B . What is the magnitude of C jr 4r tjtz-y+f-(u+xy ?

  A car travels 20 km West, then 20 km South. What is thgx)bt)tr3b4mm8v e 0 oe magnitude of its displacemebg4ovr 0tm )m )3btex8nt?

  Three vectors, expressed in Cartesian coordinai rg4 iat 0.od5,v0lyktes, 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 coordinates, a1hs*nq3 8;o pybl;p wgre
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, -8.0z1py(6g5n i xk), what is the magnitude of vexizk 5g1y(6 pnctor C = A - B ?

  A runner runs halfwafr0rl ose*g84;c9yn*3ne hp iy around a circular path of radius 10 m. What is the displacement of the3y;lipefren8*n*c4h0og s r9 jogger?

  Two forces are acting on an object as shown in Fig. below. Whatps9ssi i;3wsthwn6;ad :-fo . is the magnitude 6w9.sn ss wf3p t ;;isd-ahoi:of the resultant force?

  Two forces are acting on an object as shown in Fig. below. W9:sb(j3rd n i;-wxdiu hat is the direction of (j 9u-ixdw: drsbi n3;the resultant force?

  Vector A is 5.5 cm long ars7ziozy 7zxt1 h2g-9nd points along the positive x axis. Vector B is 9.3 cm long and poinr1xz9ygtz 7 zi -os27hts at $+31^{\circ}$ 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 55 cm long and points ate0lh7ul s1pe9+ yha/ix1 qit/q. z0kq $30^{\circ}$ above the positive x axis. Vector B is 19 cm long
and points along the negative x axis. Vector C is 25 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 15 m/s from the edge zpg noa15 2vh ud19v,cof a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.1 s. What i 9,hz2c n1ovu5gp1vdas the height of the cliff?

  A girl throws a rock hor 7+)f+mihv qxvizontally, with a velocity of 15 m/s, from a bridge. It falls 23 m to the water below. How far does the rock travel horizontally before striking the water? )m+ivqxh7 +fv

  A ball thrown horizontally fro wwtz 23ccw;,glt1 m9lm a point 18 m above the ground, strikes the ground after traveling horizontally a distance of 16 m. Wcg9 wczwt,tlw ;3m1l 2ith what speed was it thrown?

  A jumper in the long-jump gov e04m q(jczm.es into the jump with a speed of 12 m/s at an angle ov ze04m.m(cjq f $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into tht: f/kut4m h etq1ls. /gl:rt1e jump with a speed of 11 m/s at an angle ofrkl1 m.:lu tg/1q:e/4th stt f $39^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 41.7 m/s at an angle ofz/ w*m hihswu5r v41cb ta5/d6a+iiq/ $11.9^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 28.7 m/s at an e8z*q2iqw - cqangle of $16.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired a2pu(b)sbjm y7b; rqn5 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 hodw lqf.+t )ouxcr /1:urizontally at 27.6 $m/s$ from the roof of a building 30.4 $m$ 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 groubqbw +m* 9ke8nnd level with an initial speed of 67.1 m/s at an angle of bb +qne8* kmw9$42.3^{\circ}$ 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 wind8y6luj0,g q skhcs747c/1s v uka itx/o.jz f:), 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 sqkxj /cu4hj7 f 0kz/8u1ya ssso6l :g7.,itcvpeed 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 50.0 m/s to dha f06(od v-vthe West. The planeoh- f0 vv(ad6d's speed relative to the ground is

  A plane is flying due So 6lf/;h dxz letn kl*p*-b9k(outh ($270^{\circ}$) 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 headed by /ij--+ara8m8hewf0unf. d $30.0^{\circ}$ 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 moviu8 l3k/ca b02ove6yfzr4 fz 7fng 200 m/s horizontally fires a projectile with speed 50.0 m/s782cu vof3/ bef0l ykarzf64z in a forward direction $30.0^{\circ}$ 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 fd-t: y0g0pc+qn m;ltdirected across a river with a current of 6.0 m/s. What is the spe;pl+ :qfdmyt0 n0-c gted of the boat as it crosses the river?

  The driver of a motorboat thaq4cyhwm j2u5,r4uqw 3lt 1fm.t can move at 11 m/s in still water wishes to travel directly across a river 0.5 km wide in which the current flows at 5.2 m/s. How long wi24ruty ,w1um .wf4 jq3h5mclqll it take to cross the river?

  The driver of a motorboat th/ hrs;h/r4bil 5rk7r g .reo9z/bhum4 at can move at 10 m/s in still water wishes to travel directly across a narrow strait inghrhor;94 .ebhz /kmrr47s/uib 5r /l 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 rea9 30ek n;/bu5 u0os.apk5xmq0dkvbalches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still ws qml0/v .b e5 k3n;uax5b0uo apk9dk0ater?

  A swimmer heading directly across a river 200 m wide reacyvr3q j*3 djhcn9z4m+ hes the opposite bank in 6 min 40 s. She is swept downstream 480 m.+ rz nj34jyv9*d mqc3h What is the speed of the current?

  A boat, whose speed qy+m2 i;(ckxvin still water is 1.46 m/s, must aim upstream at an angle of imcx2 kq;+yv($26.3^{\circ}$ (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)  $m/s$