Which one of the following is an example o0 4qi4n nqhykuc.qi x4dg/7/zf a vector quantity?

  Which of the following operations will not change a vx: ;vu: :y 33rdywrlcbo(kk: iector?

  Which of the followim +m/olkg8 jfoysh8 0*ng is an accurate statement?

  The resultant of two vectors is the smaldxf2s.wrgpe) 9 + +byhlest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respecf11riqwf9( jplr1j:jo q nh 4o 3(hha+tively. When these two vectors are 4n11p q( hf or3h+hij fjr91a:jw(olqadded, the magnitude of the sum

  Two vectors, of magnitudes 203doexe/k++o (7fs+c0cf3 xx.1 pjvjm cyvuv2 and 50, are added. Which one of the following is a possible answer for 01o updse+c7y fcecv2. oxk+fxx +(jvm3/ jv3the magnitude of the resultant?

  Three forces, each havif; -lbt)iuo,tng a magnitude of 30 N, pull on an object in directions thabt o ;tf)-u,ilt are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectorco 0e53p x4zvb is

  Ignoring air resistance, the horizontal component of nh9su o:8fymvno3 tk xb70zy1dh0u2 b u.q;*i a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an ann6+ rfbg: d2 sft1vwfn7,8u rpgle 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 ae0 9cd e/ee c/7fl;spqa8d +jwfx6:40ag bahacceleration0ajq/lf4seea7g/ cche:dax98dwaf 06pe+b;

  A soccer ball is kicked with a velocity of 25 mi: oy,j eus6*:o:ba fr/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 the velocitb)b46/ifi q xds 8of:w5,nfkl y v:/iof 6 )xnw4f l,f5sid b8bqkector,

  If the acceleration of an object w5vln7b w:d-gis always directed perpendicular to its velocityw-dw7b: nv5 lg,

  At what angle should a water-gun be aimed in order for the water to landzxlet/:lf2y : with the gr lfet/:yz:2xleatest horizontal range?

  An Olympic athlete throws a javelin at fkoc1v+9 6p tprour different angles above the horizontal, each with theo+ crppv1 6k9t 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 second46 89 4p jziqif7iqq;mi y:v)qv:ilum time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range 7 iy; qmp )4z:jvu6iqmii4q8qv9li :fR (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 mj/bnm ltjl 1zboti6 2s680 7yr/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, how does j e9)rit6: xkx- z-6gk,1d r5 fxguxapits speed compare to its initial sp-pr ftg5 xjug-6xx6 1ra 9:dxkez i,)keed?

  A stone is thrown horizontally from the top of a tower s;4 /nhgpzx ywx, 49aaat the same instant a ball is dropped vertically. Which object is traveling faster when it hits thp4a sn4 ;,xaghy9zw/xe level ground below?

  A bullet is fired horizontally, and at the s6zcp2v bjuq+a/6 pnwi02edw 3ame instant a second bullet is dropped from 0bcvjn wz6pqa6dwi 2 3e2up/+the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizonta)t-a f/ct3phhlly at a speed of 43.5 m/s and at an elevation of 163 m drops a package. /a3h fht ct)p- 5.6 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, and one second later a seiyeppyot81r .a6 ura m f,eu3w45x2/ucond package is dropped. Neglectt/x u6i2r4uyeu1e.pa p3m w or a85y,fing air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at pr 1i6)*vfvkga constant speed. Neglecting air resistance, when the bomb hits thevpfgk *i)v1r 6 ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. jk1 jpjanh6q imyg, 708hn4z *If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would o 0mgjk zj,n7qh4ih*6j 8 npy1an Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relat 8 9ogjbgkus6ca-op6p l/. pt6ive to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of y-/po la.tpku69gp8co6 sbgj 6our car to the other car is

  You are trying to cross a river that flows due souyl94n 9 yb-gacth 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.yga4l9 9yb n-c You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will it tak -:9n *cw2ek fftuquc9e y9k ftfcwnuqc*e:- 2 9uou to move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle oss* c z,*ko6sdf 30 degrees below the +x axis. The y codss ,*6*ozkscmponent of A is

  If a ball is thrown with a velocity of 25/mrmpseq ju, 7(xk b;( 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 eru3*jqjz ad6,pnrplw/ 31lfch)ni ,+ast and you end up 2.0 km north and several kilometers east. How many degrees north*+cin3/njz36rl1upp, fw l)hqjr ,da of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its vb rw)uv,bgb-c+4 cil6 0 2tvvzelocity is 8.00 m/s. The angle between the direction of its motion and the x axivb)bv,+zw0cv-iltg62bu c 4 r s must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what anglei0 r8 ou5yfna*:zi3u b is the Sufi :buua53izor * n80yn elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What a xxlal3;f9o4+v / 6zspb ;fw 6f4an2h3lznzkure 6sv4l3zbfowxxa/hla2fk9z z+;6 nplun 3 4f; the components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Wha9wpk d 4ud4cc )0 xm*o,iv9tptt is magnitude of the sum of these two vecto49m4cd*uto,)0 9dp ipckwtxvrs?

  Vector A = (1, 3). Vector B = (3, 0).x -ly0p2 *t iuix jb(pgr3oj0. Vector C = A + B . What is the magnitud j.(2opprjyi0 x0*txbi gu-3le of C ?

  A car travels 20 km West, then 20 km South. What -y) 7gq 2r ab1x+iltzkd,/yd1fyuhy. is the magnitude of its displacyl)1 ga 1 hik.,rt+zd -qyb7yyu/ f2xdement?

  Three vectors, expressed in Cartesian coolz. 2z rp2.t9or ywse1rdinates, 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, pt g0fg/gka94s nvwv)6n,mn,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, 8wa1hbog,c ni6 u4z4g-4.0) and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - B ?u4cig z,6a1go w48bh n

  A runner runs halfway around a circular path of radius 10 mg 1)2hhs du(tl. What is the displacement of the jogg2u 1dtg(hls)her?

  Two forces are acting on an object as shown in Fig. below. Whatw 63w 993lfcsxfrocg 9xfv**a is the magnitude of the resultant foswc9 x639*ffr fov*x 9algc3wrce?

  Two forces are acting on an object as shown in Fig. below. What is tzn,co,ga-o-l he direction of the resultan,c-, za- olgnot force?

  Vector A is 3.9 cm long and points along th-i-ihf , avj4pe positive x axis. Vector B is 8.3 cm long and points -v-ij h ap,if4at $+49^{\circ}$ 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 54 cm long and poinlxwu6c yvy93- ts at $30^{\circ}$ above the positive x axis. Vector B is 24 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 initial3yd algv-ny,6 speed of 27 m/s from the edge of a cliff. A stop watch measures the stone's trajy ,dy 3n6agl-vectory time from the top of the cliff to the bottom to be 3.7 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 8 m/s, from a bridgdvkg 99ngmqh2cl+ ) ) yoy2jv+e. It falls 11 m to the water below. How far does the rock travel horizontally before strikiv9cmd29g l)++y ojv)g2qk yhnng the water?

  A ball thrown horizontally from a point 21 m above the ground, strikes theq-,kpwbjel-x, l jzw*3m o*:b ground after tjxwl -b3* k:,,wqel -j*p mozbraveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spejotpu 95j*-q ued of 12 m/s at an angle o9tp5jq* u j-uof $20^{\circ}$ 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 s0e0 .xg ljtozd)zu 1b9peed of 12 m/s at an angle of ux9d)j1.00zzleob gt$25^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an init0 cm/bt a0se/tj; a/faial velocity of 37.3 m/s at an angle of $18.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 33.2 m3u+pky/ n rafhgba 1 92tn4uj9/s at an angle of $14.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an an- jjiirq3g.2on*,ipp cw,t, ngle 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 21.km ,w+gp8; goa5 $m/s$ from the roof of a building 67.0 $m$ 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 with an initial speed of 42.9 m/s at an cxi+ u/fg(u r y./2fo./lb oy32mrcnaangle oau yrig/( 3ouf x+y f2.rc ./2b/ocnmlf $44.1^{\circ}$ 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 racegufa5zn+l:4d4 ht n, c at a velocity of 4.0 m/s. If you ran the same race on a day when you had a consta d4 ,+nug45tnafhclz: nt 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 speed7u;yfi)rq 5s h of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The ps)5yir;uq f 7hlane's speed relative to the ground is

  A plane is flying due South gn4n8r3qgtb8 ($270^{\circ}$) 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 jq le nt *ej;v9wk- ty-c3k+2hkm/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 projectile with speed 50.0dctqgc1+ :7rp m/s in a forward di+pq7: c tcg1drrection $30.0^{\circ}$ 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 uy*7;fux 2szl+ox ;umriver with a current of 6.0 m/s. What is the speed of the boat as it crosxmu u;ys;z2*lxo 7fu +ses the river?

  The driver of a motorboat that can/ u,gxrcf*+g m efu92v y5x3pqhtc n:: move at 10 m/s in still water wishes to travel directgc/9: ep x3g c2utvq xyru n+*5hmf:,fly across a river 0.7 km wide in which the current flows at 3.3 m/s. How long will it take to cross the river?

  The driver of a motorboat that qlib3iu(+ -xtg h0ik9can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flowsh 0+qul g bk9-ii3xti( at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 20m w(26c:(mjeo d: vlvw0 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can ( vm:dw2:6(elw cmjvoshe swim in still water?

  A swimmer heading directly across a river 20-t5 l l5kl-jtv0 m wide reaches the opposite bank in 6 min 40 s. She is swep-kt l-5tvj5l lt downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 0.93 mv19shm.j.c pt /s, must aim upstream at an angle ofvch1.psmj .9t $15.1^{\circ}$ (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)  $m/s$