Which one of the following is an example of a vectorg4asz-fl sq 04aabg)2 quantity?

  Which of the following o qqrf1-k: 4mi-55jwtz )viy nwperations will not change a vector?

  Which of the following is an accura ux/7db 9-w0 w3aaeuccte statement?

  The resultant of two vectors is the smallest when the angle between t2a 2e4ihfe0 eo2(n-a la5 y)3bap osdwhem is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. Whengnwv1tgc, s3 if8*w+n these two vectors are added, the magnitude of the sfs3ng 8witcn,gvw*+ 1um

  Two vectors, of magnitudes 20 and 50, are added. Which l nb th*fwd-ehh20b4o;3 lli, one of the following is a possible answer for ;h3 f btb l2onhe,4hwl-il*0dthe magnitude of the resultant?

  Three forces, each having a magnitggec m1:x /:*d6urlzhude of 30 N, pull on an object in directions tm/:ugc1 :6d z r*eglxhhat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecto6 ta uoli znzvh5lk,0u2ij *n.5rjt38r is

  Ignoring air resistance, the horizontal com*k76ux6fcj7tr (c uh/um2o rvponent of a projectile's velocity

  A ball is thrown with a ve6t e /z0-5tqf8gct hxwlocity 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 horizontx 99, 1a)s yaorb5avnsal component of a projectile's accelerationaaovrabxy ,5)n9 9s s1

  A soccer ball is kicked with a velocity of 25 m/s at an angle of z +1bwj enne4;$45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vecxf p5p-cx.cc6 a2 s9neuq*a.mtor of an object is directed anti-parallel to the velocity . cx* ppa6e.fmcc-q2uxn9s5avector,

  If the acceleration of an object is always direct pmujp76l wp3cf. 98xd a:6suqs5kb)xed perpendicular to its velocitmw 39f .75kd)qa b6xj: p6l8xpusucp sy,

  At what angle should a water-gun be aimed in order for dtx8 e1 :8ycy:chi/nxbx9a b8 the water to land with the greatct hxbde:x x/ai1 y88c :bn89yest horizontal range?

  An Olympic athlete thuvont9tn+dj) a 1k2r3vy 7f(c rows a javelin at four different angles above the horizontal, each with the same speedk1jndvy(o9vf7a)2 r+t3n ct u: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second ti 6tmdtf2rwn:r51knu ,me. If the ball leaves your hand with twice the velod:5t nrr6t,f 1 mw2ukncity it had on your first throw, 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 angl bkh/+)zyxoo 9d3 +ibnwtk+z -e 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 reach6d.tj.)tl)vrn lmulqu nd* j28jh 8f(es its maximum height, how does its spemdulqu.68*)tjdjh( l r .) 2ln njtfv8ed compare to its initial speed?

  A stone is thrown horizonn,a)2pql4 pex+(f qghtally 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 ground bel) 4fq+an2,(ph pxlegqow?

  A bullet is fired horizc9qsdn43bsau31 g9oax se4o7 . 1emn2c4dbss ontally, 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 bullets.exs3 4 a3nes . do cnbb9cms14sog s4du21qa97

  A plane flying horizontally at a speed of 95.9 m/s and at an el8 ko32w h fn9hnk-psb;evation of 247 m drops a package. 6.4 seconds nk8;nhbwpsfk9o-h23 later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped cmu8nj 5,b:a,bibg im+ks, n *from a plane, and one second later a second package is dropped. Negm sc ,5 jg:m,bba8*+,bi uniknlecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a consta5bxggp1 n)ryw w2d6n /nt speed. Negl6 gb1dn ) wynx/5pgrw2ecting air resistance, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixl)m,t9p jh -yc:a4x lg64hzyuth 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 on Earth, the bal-gj64m:9yx,ta ylhc l)zp h4u l would land

  You are traveling at 55 mi/h in the +x axis relative to a straigh* 11oat ym7*.2g.rum zhtaecr2g 0urtt, level road an m rc*ameagt g 1u.7t02rtr uzhy2o.*1d pass a car traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to croskyvt :9e)hkd 2, t3 pij*anoe8a xi0b7s a 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 from your starting point. ee3,9)tvt708kp bxao2kyid:hij na * You should head your motorboat

  Your motorboat can move :ywmz1g w 48hw05cweiat 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river flew1w 5w4z :cy80ghmiwowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below t( fr0je8rmn- zhe +x axis. The y component oz j em0rn(-r8ff A is

  If a ball is thrown wx 33u (;f3zvj9i ;a/q ornfwghith 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 straig3vmbapw *.uuv-f/q s gdha.h ;s66u: bht line in a direction north of east and you end up 2.0 km norah3bvubsu:ga6.f*6/ p mdh q- u.;swvth and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a spew-1b7l3 oa colbihzi 9289pazed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x ax bpi31w-h izo78ala oc92l9zb is must be

  A 400-m tall tower casts jz 4:1u9yhjhha 600-m long shadow over a level ground. At what angle is thej4: 1hj9zhhyu Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respective1fpj5d;w /6q)avzc llx+f 6u-rfxf h/ly. What are the components phxwaxd 5l/j/f16 l q+ fzvff;uc6-)rof the sum of these two vectors?

  Two vectors A and B h) p:lxo(y07wtf ygkf/ave components (0, 1) and (-1, 3), respectively. What is xpko /(yf ly)wf0t:g7 magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3r7wjy w*ue x(u:t5.lq kgs(*p, 0). Vector C = A + B . What is the magnitude o(q r7p xk (:sglww.j*u yte5*uf C ?

  A car travels 20 km West, theua zbc 1-v6x8tn 20 km South. What is the magnitude of its displa8-uc 1vbzta 6xcement?

  Three vectors, expressed in Cas 7zbb23tr; yartesian 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 C.e-ok,fqr ed dk1y8s ;artesian 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 vegan9hicn3 mjj39 o8w- ctor B = (+3.0, -8.0), what is the magnitude of vecto3gi39hc9nonj8jw -a m r C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displ9uz0cfsc nn9 6 e3ptzm6j,lc*ajc u6fct9l,6zz cp3s 9mne 0*ncement of the jogger?

  Two forces are acting on an object as shown in Fig. below. What is the magnitud/r()*z 1eo dd:ihjtsh d d4u6de of the resultant for(:sj)*4uhz/e hod1 r 6id tdddce?

  Two forces are acting on a0*fg i oo8p+5rp royni3 ov4r0n object as shown in Fig. below. What is the direction of 4o prp+o*08n 5 i3rg0vi oyofrthe resultant force?

  Vector A is 3.1 cm long and points along the positive x axis. Vector B is h 5cmvs(d3f/z- p ))kezttkb6 9.1 cm long e k/h6(cs-t vm3bz t5)dzk)pfand points at $+46^{\circ}$ 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 pointsq99juy6yze/shf 7 s*:9vf c.t od1 yxf at $30^{\circ}$ above the positive x axis. Vector B is 29 cm long
and points along the negative x axis. Vector C is 30 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 13 m/s from the edge opzd3k2cl( .a/i4 tj 7pt4ox0tqk3xsif a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.6 s. What is the height of the cliff 3j p4okxq/t3xl(0ikaz2st c4tp.i d7?

  A girl throws a rock horizontally, with a velocity of 6 m/s, from a bridge. 4o q5-fbd)xq sIt falls 16 m to the water below. How far does the rock traq4bxq - o)sf5dvel horizontally before striking the water?

  A ball thrown horizontally from a point 20 m above the ground, strikes the grogxk fd/n+ 0ba(und after traveling horizontally a distance of 14 m. With what speed was ix(kdg+ af/ 0bnt thrown?

  A jumper in the long-jump goes into the jump with a speed of 12jmc.x kj:tu5+ m/s at an angle j.5c+u xtm:jkof $20^{\circ}$ 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 julz8, h .zu ipqq f( xea)tvi*lu3o,2q8mp with a speed of 9 m/s at an angle of a q,zp28vu*.fiuiq3 )e (ollqxht ,8z$35^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 29.1 m/s at a20a*7 qqthv gun angle of $47.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial ve )9(xxg/dazc llocity of 51.6 m/s at an angle of $37.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an agfync8. :c ood*)0gx2 yf*ywsngle 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 at46p 9cn5kl,xum uwxk5o8uh2g ozb85x 20.8 $m/s$ from the roof of a building 37.0 $m$ 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 aqfih60 9785gckqu6 glt. nmxwith an initial speed of 50.6 m/s at an angle o gf8uqk.lh7ta m6g0 n qi6x95cf $46.4^{\circ}$ 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), you can run a 1500-m race at a velocity r(uu +a*cg(as of 4.0 m/s. If you 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 woula(ur*a s (ugc+d be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50. );oi(6r0l sq9lp t7ofc0e xif0 m/s to the West. Thcp s;r900l)f(6q7 ioixle fot e plane's speed relative to the ground is

  A plane is flying due Sos9b2sa 2:+l (kw so x4kj+eyjzo:fi;puth ($270^{\circ}$) 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/qnl 0j n: -cazmnxtk25i 8d*c,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 horizontacz:j8 s,p8rerlly fires a projectile with speed 50.0 m/s in a forwarce,j8 z:r p8srd 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 bxor 8o++.ia -a6mgtb:+lvrd is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the spel +8+d: +abogax-vbirom. rt6ed of the boat as it crosses the river?

  The driver of a motorboat that carmsx( ) pd;e:sn move at 11 m/s in still water wishes to travel directly across a river 0.9 km wide in which the current flows at 6.3 m/s. How long will it take to cro)p:r (d;x sesmss the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to tcjeio2t(8 hr:i;5 gtwn jtd67ravel directly at wecdoj8hrtg5 i:i 2j 6;tn7(cross a narrow strait 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 reaches the opposite ban3jh 4 ri-sezm a5v0n0dk in 6 min 40 s. She i-0shv 4 z30ejardimn5s swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reachess(akkd3a-, w2 scy+w w the opposite bank in 6 min 40 s. She is swept downstream 480 m.w,+wkssa dywa(k2 -3c What is the speed of the current?

  A boat, whose speed in still water is 0.87 ms; 4yli;qg, 2x:v eswf/s, must aim upstream at an angle ofsg y 2;i vwe:lf;x4s,q $23.7^{\circ}$ (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)  $m/s$