Which one of the following is an example of a vector quu95t 6ftsa;f) n bjrm,6 bjqv*antity?

  Which of the following operations will not chax) *npqrym,kn bd3, w*nge a vector?

  Which of the following is an accur26io pr27tu1dup3 wsfate statement?

  The resultant of two vectors is the smalrcqle45/,7 n j 2jryiwlest when the angle between them is

  Two displacement vectors have magni / a ,w osup1dv*jf9rgww2r-s2tudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the sumss vdj ,19a/2u2rfw-g r pww*o

  Two vectors, of magnitudes/- nwtz8mwy0o8za (a/qu,fft 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the resultanfzmoa, tz8a /uq0(y-wn8 t/fwt?

  Three forces, each having a magnitude of 30 N, pull on5.xf :/ bh 8vm 6ab7+gngrdofg an object in directions that rvoxhfmn 6 :bg 7 f5gbdga+/8.are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectri x *kb.9in.jor is

  Ignoring air resistanco dev 8vat85/fe, the horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an an/u kfz2t++un i (jl*;awdjn h7gle of $60^{\circ}$ above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistag*b--uw d8 okn4u r+ksnce, the horizontal component of a projectile's accelerationwd n- u8r4 okbkg+-*us

  A soccer ball is kicked with a velocity of 25 m/s at an angle3g3v5e5xt wzd-j cv4x lsn8o+ 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-para,fezk*y10. lsgb os4c llel to the velocity vectgey,*scb0ls.k o41 z for,

  If the acceleration of an object is always direcyv*2p3 ilap0eted perpendicular to its velocityel2a0p*y vip3 ,

  At what angle should a water-gun be aimed 9uae 5rm hyigg 01tyw)q.4l2iin order for the water to land with the greatest horizontal rant)eg90w.hi2yi 5ul1 g q myra4ge?

  An Olympic athlete throws ,v2c-u8.wsbq ls87od ji 2umx a javelin at four different angles above the horizontal, each with the 2s8,8w7uivbls uo.d mcqj-2x 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 second time. If the ball leaves your hand /x vr9+0gnx tiwith twic9vgxi0x t+ nr/e the velocity 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 att*u p0102t3x wc g6nukljc9 h ps)ki5d+rg- jo 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 *pb9qyc zmg0,r)ny -6b.sgjdits maximum height, how does its speed compare to its i nrgy0.q s)p96-*cbym bjgd,z nitial speed?

  A stone is thrown horizonta,p +4y; 0:n;ws;5fq dozy3 poari+puurmba +vlly from the top of a tower at the same instant a ball is dropped vertically. Which object a;0orbf3d+ y u,5;a rzp 4p+u s+q;oivwynp: mis traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a secon. q oj ;5janyt+o9nkmh 8,zf *r3qmf0fd bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two0ktnqfh,frmf+.zj*o 85myq ao;3j9n bullets.

  A plane flying horizontally at a speed of 67.6 m/s and at an e kyc2gyj2)7c:veq0he levation of 231 m drops a package. 4.7 seconds later it dropsk7 cq:gyjeyceh 2v 0)2 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 er+i6wathx1r: *; pae second later a second package is dropped. Neglecting air resistance, the distance between the falling packages *+at: erphai xw16;re will

  A pilot drops a bomb from .fqt 10 - mbm0.sne1y9(hld eja8py yaa plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal locm(a0n p a.8ltedmbey0s 1-91.y yqhjf ation of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. If h 7nffkiq9o 2d5y) 9+tm wc5--5yj ezywar7wx you hit a baseball on th+y2qwmj5o 5zrc-7-9k5 day 9ewt)fywnif 7hx e 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 road aq)x 6-yiov.pa nd pi ao.vqxy)-6p ass a car 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 due south with a sv hcd2ca, +6 xr 7xyg,1-f9bmet5 ibzmtrong current. You start out in your motorboat on the east bank desiring to reach the west bank direct 5ebz y+9ctgr-cxf6bd7a ,v ,mx2ihm1ly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How yoe7(vm p jbnm(4,2dog2 f8 pimuch time will it take you to move 12 km downstream, in a river flo2mf7 bi, e(jp 4mo8vn( y2ogpdwing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. v9ail0 w c4l6topvl,+ The y comcvl 0 vi94 t,l+walp6oponent of A is

  If a ball is thrown with a velocity of 25 m/d9.u g8uu6u y;ral j)xs 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 +gsn:jetx5t 23ys+: : djtzfvnorth of east and you end up 2.0 km north and several kilometers east. How many degrees north of easstetjfz v52g n:3d :x+:sjty+t have you walked?

  A butterfly moves with a spey qx4/w2 8wcjjed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its mwqyc84 wjj/2 xotion and the x axis must be

  A 400-m tall tower casts a 600dv i8, l3tl6nkqljqu.l ;pf r6m4n1s4-m long shadow over a level ground. At what angle is the Sun ldilt 836n6u,k jmf 1.l; r lqvpq4s4nelevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), rep h)2* ny7+ksmj(jnjfso-s;w spectively. What are the compo +js-(2;j) *n kwjs7sypmhon fnents of the sum of these two vectors?

  Two vectors A and B have components (y-;j7j 1flqfh0, 1) and (-1, 3), respectively. What is magnitude ofj;f7y-1 hjl qf the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A6 ve)uvg 1(yxrb,qwnr,y jd-( + B . What is the magnitude of C ?n v qr-rg1ejvwy,x d)u,y(b6(

  A car travels 20 km West, then 20 chfnh p.()ojzz,9gkb( so3yu-t hg n6++/mfskm South. What is the magnitude of its displacement-zntjgcpskm6 g.uz+ hn 9/ o h() 3s+bof(,yhf?

  Three vectors, expressed in Cartesiai1ep-dxfh uo3 ve ,l6+n 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 coordinat k:4e:h k9- kw6mgxplaes, 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 magnitudu0-f3ii3t1mborm /; b dr t lm.6f8x.kq*arnm e of vector C = A - oql *a8i.x r;n33m 6i-0rmftkdbbmru t.f1m/ B ?

  A runner runs halfway aroun 7 asws6;9gmqyd a circular path of radius 10 m. What is the displacement6s s9;q7y amgw of the jogger?

  Two forces are acting on an object as shown in Fig. below. What is the ma 5 lav dnamnj7f+a3r29gnitude of the resultant for aa75+3 arlfjnvd9m2n ce?

  Two forces are acting on an object as shown in Fig. jtj) xh1f0bz7g+ 8gtibelow. What is the direction of the ifbgx) t 78t1z 0+hjgjresultant force?

  Vector A is 5.6 cm long and points along the positive x90meb+ wcri/dq (y q/4or zb8d axis. Vector B is 5.2 cm longr9 ywd/80bq b c/rzo(+ei4qm d and points at $+51^{\circ}$ 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 74 cm long and points e/d1 v7ljohh 60 mvl8iat $30^{\circ}$ above the positive x axis. Vector B is 16 cm long
and points along the negative x axis. Vector C is 38 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 20 m/s fro1/xm -loel :uom the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 3.3 /m1uleo :o -lxs. What is the height of the cliff?

  A girl throws a rock hoo7r 1p 5.k*bopj6 kq.9sndfyzrizontally, with a velocity of 18 m/s, from a bridge. It falls 29 m to the water below. How far does the rock travel horizontally before strikfj. p1o*sqo .ykrzkd7n69pb5 ing the water?

  A ball thrown horizontally from a point 25 m above the ground, d nxbii5ac ,+)bo dvv)k:9w5vstrikes the ground after traveling horizontally a distance of 17 m.vbxd) adi5k bio:9vw)cn5,v + With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spe n/ckr-hf,n(ved of 12 m/s at an angle off n/,nhc(kvr - $20^{\circ}$ 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 witzw;b i3z,k;ohh a speed of 8 m/s at an angle of b,zk; z w3hi;o$33^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 24.2 m/s,cunx,v*ugv+8pw 1xs at an angle of $38.4^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 42.3 mdfvu j6.z-gqj.6x xy 0v48bn ;r zonl)/s at an angle of $29.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired4 dio(u7w/uhbom4ni59ae v)p at 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 horizontally at n;d / 11t.bwmau1zxbe 16.4 $m/s$ from the roof of a building 49.2 $m$ 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 ayz9oq: jthd2n680iz k n initial speed of 38.2 m/s at an angle ytq0 9j8z26n z o:hdikof $38.5^{\circ}$ 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 veloczjjdi n 0nw 2))4cov3vity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind whvvw 2nc0oj d4n j)i3)zich 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 dusgz 5img(736.sjm oys 30sdpge North, and is in a wind of 50.0 m/s to the West. The pgggij d(p5 m06ss3ymso3 .zs7lane's speed relative to the ground is

  A plane is flying due *3nmdh*5ges4dokls4gc85oz( b .fes South ($270^{\circ}$) 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 yis os(z6d,m4 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 tjpl)3oui. i 2projectile with speed 50.0 m/s in a forward directij .l32to iipu)on $30.0^{\circ}$ 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 isgv0b e8aq etoy-q f544 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is they50 oqag4tvb4eq f-e8 speed of the boat as it crosses the river?

  The driver of a motorboat that can move ;qrsmkak*q92j( qclo* ed n98at 17 m/s in still water wishes to travel dire 2k*c9sdkq *rl n9(;e8 mqojaqctly across a river 1.4 km wide in which the current flows at 6.8 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stil*vf m enve(u:19kp9qh l water wishes to travel directly across a narrow strait in which the currenv1vheunpe 9 fmkq :9*(t flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a riveb/ :eo.w lbf9xr 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can slb /9x .w:beofhe swim in still water?

  A swimmer heading directlztchcnca2o +ck)f k.q.5flhc ,6wf12y across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Whof)hwc6k,clkc1+ca cfz .5q 22n t. hfat is the speed of the current?

  A boat, whose speed in stilju6v:,5pw6j yu9q6k ba g-gty8r qy9ql water is 1.73 m/s, must aim upstream at an angle of u8wg9aypt6kg-y5j b,qq uv:j9 qr6y6 $15.6^{\circ}$ (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)  $m/s$