Which one of the following is an example of a vector npds:(zaa7 o t mw ojzpcv-(2/d9ks)4 quantity?

  Which of the following operations will not change achftl .7u)r5h vector?

  Which of the following is an lmff,v- t1 l+.zk, ; o)xt0vzwpfbtt +accurate statement?

  The resultant of two vectors zpsbm 5sdtc,:h43x n5 is the smallest when the angle between them is

  Two displacement vectors have magnitudes oh1(zrd, x yo;qf 5.0 m and 7.0 m, respectively. When these two vectors are 1xrqd h;z,(yoadded, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the fq 3jrbp4f/hwbp1q eaa ;5zg*. ollowing is a possible answer for the magnitude of ther5ehqb.43*a;/zf 1bqpg aj w p resultant?

  Three forces, each having a magnitude of 30 N, pull on an object l nh)xarj) ufv,;s7n)in directions that a))u hnf vxsn7jl,r a);re $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, th( 8l7dwkn2/, m cy v6ublnzot,e unknown vector is

  Ignoring air resistance, the horizontal component of a proz 3 hlogz7k6vkfn89.ajectile's velocity

  A ball is thrown with a velocity hs n23r psg7o5g 6:we6tvy7q yof 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 h;q(*gmby-xh s orizontal component of a projectile's acceleration( mxb;hyg*q- s

  A soccer ball is kicked w(9ct s5c+hx3+ljco31adv tqf ith a velocity 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 of an objec uhdv8xcn9; * ci.dgj9*: qvcqxu1 wluo)g3s5t is directed anti-parallel to the velocity vector,oi)dc *89jql: suu9;g13xq gc 5.w*vx uchnv d

  If the acceleration of an object is alwayy+r2lm pllv n*20n9k(m9 0.bco j oelzs directed perpendicular to its velocitykmnloj ob9l.m (2 9c e2plyln*z00+rv,

  At what angle should a water-gun be aimed in order for /..9 m:bp ed fuk0fk9alr 3ejvthe water to land with the greatest horizontal euf .e0bd/mkk3pl 9avfrj 9 :.range?

  An Olympic athlete throws a javelin at fca6ch3*ze: s zyh w;c2our different angles above the horizontal, each whsz6* :ce2cw;yh3 azcith the 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 bf- 96wpk/sbo time. If the ball leaves your hand with twice the velocity it had on- bkfb6 w/9sop your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an origid,xif0e 7 +6f uawknx-nal 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 its maximum hei7c*u xk oh6ag)y pn8y/ght, how does its speed compa opyg6n/xy)cka* uh87 re to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same instc6y*7b 0v/jzfzsj w,nri b1s0 ant a ball is dropped vertically. Which object is traveling ff*i1 bb rws67zyj0jnscv /0z ,aster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a sec 8bwkinr0fg* q1 88eftond bullet is dropped from 1bt n*f8kegf 8irq0w8the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 71.9 m/s and at an elevation of 27g4vjn p72rmjy89 iaa68 m drops a package. 6.7 seconds later it drops a second package. How far apart will the two pia rgan7 2pyj7 m49vj8ackages land on the ground?

  A package of supplies is dropped from a plane, and one sec ,pwitc ikii- /;34wpcond later a second package is dropped. Neglecting air resistance, the distance betweeiwp/ t ,3i c-;kwc4iipn the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. N,n(up;h6 81/jp4li u db nlaxzeglecting air resistance, when the bomb hits the ground the horizontal location of the p lj;p/u(pn64l8x hz , u1ndbailane will

  The acceleration of gravity on the Moon is only one-sixth of thtpmvw/rl .w 17s;7ecy qe+b6 qat on Earth. If you hit a baseball on thrbv6ym7 q7 /wee;tpc.+s w 1qle 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 rela5o uf7w:tk*nm tive to a straight, level road and pass a car traveling at 45 mi/h. The relative velo :nf5 mktw7*uocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong current. w xfsd2d1)f00:hgb0 1izeoiw o4vp 2yYou start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motoo 1 40xei:f yf wph20gvibdwzd20os)1rboat

  Your motorboat can move at 30 km/h in still water. How much ti*e*tbqi sxsa6m*f9j6y u n6*zdona(: me will it take you to move 12 km downstreamoez( aiqx6sjynbm s6 fu**an*9 t6:d* , in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 d)jvr3l)fg 6uow 5jg)cegrees below the +x axis. The y component of A isj joguv)l)3 6fg 5c)rw

  If a ball is thrown with a velocity of 25 m/s a1kzc o0(dazm2/ xa5 rot 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 gt44fn7o hy v9fj we.-a direction north of east and you end up 2.0 km north and sevnh fy9f4.e4owtgv-7j eral 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 its velocity is 2ay(es aeqzbeu akq*su .03 +.8.00 m/s. The angle between the direction +(e03*ba au. qaueeyssq2 k .zof its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what an xd..7bkuj7sz ztj/jx 2c- m/ygle is mcz-x.7 jj k 2usxt/7.dzybj/the Sun elevated above the horizon?

  Two vectors A and B have comps 16wzafnc,, ofnzj( 4onents (0, 1) and (-1, 3), respectively. What are the components of the sum of these two ves z,zon(fa j w14,f6cnctors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. What i ashe+w dhx1b*-ehil+wu+xv/v6w( z -s magnitude of the sum ozw axshlv d+e(*wu-6 we/h-+ v i+1xbhf these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B kv. j9qmle l ioc7xm btf12zr+852f8f. What is the magnitud jrx921z.8efomq8l+lbkfcif2v 75 m te of C ?

  A car travels 20 km West, theitvf,db,vu/0y yncd 7e) 7k7 zn 20 km South. What is the magnitude of its displacemfiy)t 7vkb/c 7y dn7 dv,0zu,eent?

  Three vectors, expressed in Cartesian coordghff / z-ivgy-q:d1hqu(d o:/x a*nf- inates, 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 (v5( 7++1 pbhh+k h1h t abpdf2oueerqCartesian 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 o/srpo:15 kk dvector B = (+3.0, -8.0), what is the magnitude of vectorro op:1ks 5/dk C = A - B ?

  A runner runs halfway around a circular mlutk0k c eh/9 pr 8oe*/4:zedpath of radius 10 m. What is the displacement of the joggerm/o e*lprek8/c 0:zk9t u4deh?

  Two forces are acting on an object as shown in Fig. below. What is the magnitud t 7c*v sg7zsp1742-* hvlflh,lgqexre of the resultant forc z1 h-7pt*gfl2xgc,7 vlsrq4e7vsl *he?

  Two forces are acting on ase ( 05u1a9.en .hzcihaqv0.kw y bm3rn object as shown in Fig. below. What is the direction of the resultavueha 0en9s b.ma3i5(hqr1ky 0 cz..wnt force?

  Vector A is 4.3 cm long and points along the posik kwnyp*v)xn5,b 4rp 1tive x axis. Vector B is 9.7 cm lonbnwy4)npxk1, kr * 5pvg and points at $+23^{\circ}$ 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 82 cm long and points at6)m66 t uz8qqzb64 2u ry g,qw4ukcbwl $30^{\circ}$ above the positive x axis. Vector B is 21 cm long
and points along the negative x axis. Vector C is 48 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 28 m/s from the edge of(a:c0ursrs:g gp/bg4(aa/y4 bpe 0ro a cliff. A stop watch measures the stone's t0ro4p: p s bu/crya/:04(resgggab( arajectory time from the top of the cliff to the bottom to be 3.9 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 6 m/sf8 p;t/ r3+v7f 7 m).ps hp/pjhzgxtoi, from a bridge. It falls 23 m to the water below. How far does the rock travel horizontally / 3tgt7pphox hp8v;f jpif+m ./rs)z 7before striking the water?

  A ball thrown horizontally from a point 28 m above the ground, strik4e i- m /2juprz4hrkawyvaj: , v:p)1yes the ground after traveling horizon)yy:2 kuvp/4raah,j-1i zmp4w ervj:tally a distance of 21 m. With what speed was it thrown?

  A jumper in the long- os8-bef0yr/p jump goes into the jump with a speed of 12 m/s at an angle of/p -b8r e0oyfs $20^{\circ}$ 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 speed of 11 m/s at an anglep :;hizg 5v77k a+uk.v 1nui ikaj;y1x o viy;uk ahn+p1 ikxau7iv7 5.gk;1jz: f $30^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 50.2 msr) woc.sz*3ktl8ta9 /s at an angle of $36.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial veloc (5 /jrvzik.;u2:vyfoq sa;ghity of 56.7 m/s at an angle of $22.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is firpx9 u puxrfme,3. r9b+ed 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 k1 wlwz:mz4,n2f.b8py z (sh a 20.8 $m/s$ from the roof of a building 63.4 $m$ 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 grou7qwyq y/36;9gr ;pei sve.msl nd level with an initial speed of 48.3 m/s at an anglsy pr9e 6qv;iesl3wg y7./m;qe of $47.3^{\circ}$ 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 wind), y :.dv*3 zubp1(s pxenzou 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 (.1u*:xp ds3 zzvbnpe 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 win7,p nj+;pifa-: mx,3gjm:fk ifthv k(d of 50.0 m/s to the West. The plane's speed relativpitkf(h mv:ijaj,,x ;3n +mg -p7kf f:e to the ground is

  A plane is flying due Souths1 r08w0taf9 tn9vg0drkh. p s(e(rou ($270^{\circ}$) 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/i(qhvu 0q4 rshi:s .1b 56majdh 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 horizontali1t o) bdhs ndb,ash(02(yo ,wly fires a projectile with speed 50.0 m/s in a forwabsi)wa,,(tshdnho 2 (0b1d y ord 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 directed across a river with vuj7l *3kaembf,tfxy 5 (.,me a c7t.v5(,le,xfja kf *mumy e b3urrent of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can m bw m04hc/n6yrove at 20 m/s in still water wishes to traveh4cm06/rbw ynl directly across a river 1.2 km wide in which the current flows at 5.4 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at s5tr5 c 27pmvd10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what 5cv5sr m7 pdt2angle upstream should the driver head the boat?

  A swimmer heading directly across a river ij25u0*fas38yhae w a 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast casae25ua3if0 *ayj wh8 n she swim in still water?

  A swimmer heading directly across a riat.9po70/b nv8qqmapver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. a0 bnqvq 9 pmt.8apo/7 What is the speed of the current?

  A boat, whose speed 45ff19x: tmuq 1*zc8+nq4 tvcmkdzz sin still water is 1.08 m/s, must aim upstream at an angle of zts 8fz:x1 mqquc 4k5 fm41cdn+ t*vz9$22.3^{\circ}$ (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)  $m/s$