Which one of the following is algl3zh 8df/49 awn t*dn example of a vector quantity?

  Which of the following operations 5jw;jz(b3p *yim ,zae will not change a vector?

  Which of the following is an accurat-bo.xjh: 8x qfe statement?

  The resultant of two vectors iae82 /x/f tbfjs the smallest when the angle between them is

  Two displacement vectors have mank8 arhjw n,7x0gbv/jl) dr655, h ibxgnitudes of 5.0 m and 7.0 m, respectively. When these two vectors ar 0 ) n/kx 5bjxgvrair8,nb7hj56ld,hwe added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are addauvnvz1:j (r/5b/x; ;iwx sa bed. Which one of the following is a possible a b:u5 xxj( /isazv1a ;/rwvnb;nswer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an ob1edu*p *xbu tb j::sp+ject in directions that ar p+bu xt:ud *s:jb*pe1e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vem 8a )bjyok0; fdz(o(xctor is

  Ignoring air resistance, the horizontal component of:cq3h dsd(*l n 38tbvv a projectile's velocity

  A ball is thrown with a velocity of 20 m/b,:nzckxti3j r0g)5l 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 acqm0n gu j2lc m8xf,19ccelerationu1 c8lnq xc2m9mg j0,f

  A soccer ball is kicked with a d: 8:bjq nn+*x6kylbvvelocity 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 ow 2yvl3pj b:u6f an object is directed anti-parallel to the velocity2uv by p6lwj3: vector,

  If the acceleration of az6 ls 3ne1 /1nqhov,qy+emr *nn object is always directed perpendicular to its velocity,* rmh, e 6q/lq1z1n+oyven s3n

  At what angle should a water-gun be aimed in order for the water t gxvn -)hw c/l(jih7hmz05pu/1(t uibo land with th07mi(/nglbhwup t5z(x1cu )i j /hv-he greatest horizontal range?

  An Olympic athlete throws a javelin at four different angles above n 3e)ic;-* ckui3ur kfbak h*,the horizontal, each with the same s* e3irf ckcuk3*-n)h,iu;a bk 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 your hand with 1w757i1rbxj8 auy3yo f4ohe n twice the velocity it had on your first throw, its horizontal range R (compared to your fyoh1 ynwrxu1jef4857 3aibo 7 irst serve) would be

  A ball is thrown at an origv v* 1k:e0 sobmdh;s2ginal 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 / 8(ho.qmjveblo 5f 5ao;mm2aits maximum height, how does its speed compare to its inibm(28; /fa q5 a5m.ejol voomhtial speed?

  A stone is thrown houd ju+p00 s2g3e-iz barizontally 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 beloa g +sjb02ui3e0d puz-w?

  A bullet is fired horizontally, and at the same instant a seconch4jqds +ta.8vjuy. / d bullet is dropped from the same he asd+thj4 8 yv/j.cqu.ight. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizont 4g/noj9bgq :1gqg ru4ally at a speed of 116.2 m/s and at an elevation of 132 m drops a package. 5.1 seconds later it drops a second package. How far a94rj4n1 g/ uggqb:gq opart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a s 4(4oaord 5r.qa/-jnlc ilo/ y. 3hlmvxw g:8tecond package is dropped. Neglecting aqjxo rm vladt/:/.aih y3-(.lrw 854no 4lgo cir resistance, the distance between the falling packages will

  A pilot drops a bomb from ic8f01apn;4lhnpze , a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb h04ieanzf8p cp h 1;ln,its the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Ear goq6zs a3mp,g.3xe: s+qhd9i th. If yo eoai gz6.,qsq3 xdphs+3gm9: u hit a baseball on the Moon with the same effort (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 relative to a straight, level roa /sxmg.*:mk9sk,ht;e 3g yn5.dpq.g ajcdm6dd and pass a car traveling at 45 mi/h. The rel jkeh ydns,mtsdgkg.9qa g/6. 5x.*d m:;3 cmpative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a f 4x fizn2b 3-d z70kw/0lttzrstrong current. You start out in your m ndbixfz/ttrz 3k07zf -42l0wotorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. c -e*(/ )/h haq(gqsu;rzcxma How much time will it take you to move 12 km downstream, inx*qu/a( ar )eh cs;hm qg-/zc( a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30bu/6j n eyd uqd-cvi;do 430r; degrees below the +x axis. The y component of A is 3dunqu-ojir06d/b4 ;cyed; v

  If a ball is thrown with a vexj a 0 4pb-8kp5*qcrv d)vng7twb.z4 dlocity 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 line in a direction north of east and you:o(zj p lr3ymljt -x)i/-0u 2p7fadkb end up 2.0/p lf3a ry)iolbdtzu20 --7j(mxk:pj km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of itmg( b*u a*zp/ps velocity is 8.00 m/s. b*az */(pu gmpThe angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long wrrws1o9p74 .kqxifir-t( 1a shadow over a level ground. At what angle is the 14ki(rw .tpfqr17-rix awo s9 Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3;ajn l;1v,quxwr v6( dzjw7f,), respectively. What are the comz6v;vr( fww 7x,,lnjdq ju;a 1ponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), 8njrj /bq5ih:b5ml l,ue* )cbrespectively. What is magnilu8/ mrb:q hb l*5ecij)5b,nj tude of the sum of these two vectors?

  Vector A = (1, 3). Vt3jb0gdre:1+pjx c n;on 8zi1ector B = (3, 0). Vector C = A + B . What is the magnitude of C ?+gznp0: 1t xeiocn3d 1bjj;r8

  A car travels 20 km West, then 20 km South. Whav .p(l,i hi96 clx0/zbdqk)dat is the magnitude of its displacemek( x d0p.zq,v 6ch9liadi)b/lnt?

  Three vectors, expressed in Cartesian coordina+p/u u6j (bmqmtes, 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 coouf-a,xvjv.2k rdinates, 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, fx/m:(t9pgem -8.0), what is the magnitude of vemfp/x tmg:9e (ctor C = A - B ?

  A runner runs halfway around a circular path of wwcts y-djb ;5dq3-+x7a ed-l radius 10 m. What is the displacement of the joggayqtd37ewbl+d-d5 -w x jsc ;-er?

  Two forces are acting on at,wy is- ojc*5n object as shown in Fig. below. What is the magnitude yiw cs o-5*,jtof the resultant force?

  Two forces are acting on an object as shown in Fig. below. What is the direxbb d ilrzis8jt3-v5lqq o961b45q/ictioq l ibjx6-tbloivb/d41s 8q59i 3zrq5n of the resultant force?

  Vector A is 3.0 cm long and points along the positive x axis. Vector B is 2 uk1qk iy-0)v vp7fwm9.6 cm long and poivv)wpk 1ku-m270 qy fints at $+39^{\circ}$ 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 61 cm lo,5n h0pn4r;c /3hxuifhk q8 rkng and points at $30^{\circ}$ above the positive x axis. Vector B is 16 cm long
and points along the negative x axis. Vector C is 24 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 21 m/s from the8 z* ozlz8o)qhwh1y6 u edge of a cliff. A stop watq )yhoho zw6z*88 1luzch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 6 m/s, from a lsc:s48x2gz 5q, rucubridge. It falls 12 m to the water below. How far does the rock travel horizontally before strikigs u 5rx,8 cs2:c4uzqlng the water?

  A ball thrown horizontally from a point 28 m above* jbs;;1wbzi2yl- vaha 2 qpwiglf.5j;o , 3rp the ground, strikes the ground after traveling horizon,ys*ia l;2vqiljr-f2ap ;gjbwwb 1zp53 ; h.otally a distance of 20 m. With what speed was it thrown?

  A jumper in the long-jump goes into r)qxzr.0aeg ,gt /:t wthe jump with a speed of 12 m/s at an angle rqt .wt: z/xg,rea0)gof $20^{\circ}$ 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 wio+dghg a zb u1571ay)vth a speed of 11 m/s at an angle g) vh+gb uz oya5d11a7of $33^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial +66rf*a vycw wvelocity of 37.5 m/s at an angle of $38.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an inini g0121mx8o n0dzavs:;f mbetial velocity of 29.3 m/s at an angle of $44.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ang z()+y(hwujs431zxbe 6kn vzyle 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 hori- /i q(rk-e si9dp1lxvl7cbi1zontally at 27.2 $m/s$ from the roof of a building 50.3 $m$ 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 skz)c vmh 2lljd9h(:* ground level with an initial speed of 44.9 m/s at an ans :mk2hvlc 9dj() hz*lgle of $46.2^{\circ}$ 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 of2a4a8g h/x gey 4.0 m/s. If you r4h2gxyaag /8ean 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 would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/mdi4sufe8. 1 ws to the West. The plane's speed relati.4wi8d1 mefsuve to the ground is

  A plane is flying due Southb;ixp -s 6n6 gec8ejyy lapzk**9(+gd ($270^{\circ}$) 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 heams mezj+r+(+ hded $30.0^{\circ}$ 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 wi kfqmcvu,ru 33/p 1w/rth speed 50.0 m/s in a forwr uuwqcr,3 p13/k vf/mard 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 m75*a;0 jpqnpkwf*.j k7 qynqlsm- 0rj /s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as itw7qjp 0ns7nalkqjm p;f*j-5*ry. q 0k crosses the river?

  The driver of a motorboat that can move at 15 m/s in still water wis63fwx:ylscl 3hes to travel directly across a river 1.8 km wide in which the current flows at 7.3 m/s. How longx63lcl:fs3 yw will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in m)uiss3(m r0a still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At wmsu0rs )im3a (hat angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposizb86r4 draeq1nxp3 47e vo+rnte bank in 6 min 40 s. She i p+4enrvq oz87 nrbrx41ed3a 6s swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches mzs13 a1ehj)ethe opposite bank in 6 min 40 s. S )eez1m1ashj 3he is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 0.89 m/s, must ai-te -l )82 jtbgjufktec7: di4m upstream at an angle ofe: e2 jtb-ic7tlu8j ft)-g4dk $24.4^{\circ}$ (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)  $m/s$