Which one of the following is an example of a vector quantity? )f;yxg h5yi)nv4ijv8

  Which of the following oba)o2;7mwc3hrsu q 0 fperations will not change a vector?

  Which of the following zuu),ot986ksr4i8z akd epr;is an accurate statement?

  The resultant of two vectors is th61j5s yfnrqcp*6arc 6 is/d0 le smallest when the angle between them is

  Two displacement vectors have magn0y+cud,3,iwbv14 dv /fza dhnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the v cvn1wi 4d+d ,baud,f0y/3hzmagnitude of the sum

  Two vectors, of magnitudes 20 and 50, arelj4 4c 4 nv:0rsgxzp1d added. Which one of the following is a possible answer for the magnitude of the resun4rd0 l:jvz41s4 gpcxltant?

  Three forces, each having a mv;g qee/ii u)ea i/vl2ev 387kagnitude of 30 N, pull on an object in directions that ag/v)7a2 ki3eev ei/i;8lquevre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkn ovz 19 v3lxn+l.jg5jh/k1cljown vector is

  Ignoring air resistance, the horizontal co( d 3:r ti(qe 9*wabvg)x,tcbemponent of a projectile's velocity

  A ball is thrown with a ve vd:4yxq .z7+dx yyy)mlocity 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 horizontal c9lznftg7o j 1 1a)v2vromponent of a projectile's acceleration19fragj1ln7zv ) o 2vt

  A soccer ball is kicked with a velocity o)cf sorb 6;dh:f 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 object is directed anti-pareym8 a xpt/8 20pw/zuo-: rx 3;hgpjlvallel to the velocity vector,m px t:0zaxw;ypv8/eu 32-/rpg8jlho

  If the acceleration of an object is always directed perpendicular to i3ytyc 2ki5db- ts velocity,ic3tk yby2- 5d

  At what angle should a water-gun be aimed in order for the wate w05p,bcigsm6 i,ly he6,iq6 nr to land with the greatest horizontal rangeisw6l eg,65 q mi,p0 c6,hybin?

  An Olympic athlete throws a javelin at four different angles above the(80nz osp7/r ujqrjd 8 horizontal, each with the same speedu(/ q8ror0d8 sjnj7zp: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second time. Ifnk7tv7yi3 t oyed4q )/ the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (com7d4 q)k3e t i7ny/tyovpared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle of my; w (is;l 9ub)mdo6f;bwr1m $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goai,j+30e uq8y np p jiq07,jmqql attempt reaches its maximum height, how does its speed compare to its initial speedq+ qjpe j80y0 uq,ji 7n3p,mqi?

  A stone is thrown horizontally from the top of a tower at lx1;q9frika5 the same instant a ball is dropped vertically. Which object is t lxar9i q;5fk1raveling faster when it hits the level ground below?

  A bullet is fired horizontally, and i pftf4o5xf86 at the same instant a second bullet is dropped from the same height. Ignore air resistan4foxtp8 5ff 6ice. Compare the times of fall of the two bullets.

  A plane flying horizontally atkjw le//omr,+ a speed of 44.8 m/s and at an elevation of 264 m drops a package. 2.4 seconds later it drops a second package. How f/w,/ l+jeomrk ar apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later aed:v qprmq +u44k dd p+7;jh5)crz-nl second package is dropped. Neglecting air resistance, the distance between the falling packages wilp;h4+n5 rlqdz -du:vd )+jqcr4 mk7epl

  A pilot drops a bomb from 2 e*619 gmpqhdnnby,f a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the hobqge 9*hpydf16m2n n,rizontal location of the plane will

  The acceleration of gravity on the Moon is only ox;j pu 3hc(fb zzr26(tne-sixth of that on Earth. If you hit a baseball on the Moon with the b2t63j(h;upc( zzfrx 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 +h.vb ,nnbr z4h2hz ; 3qsve8oyia6,:wx axis relative to a straight, level road and pass a car traveling at 45 mi/hy3h nq 2 vb n4e,bsohz6;wv8 zair:h,.. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due so0copw 51 ds ct2w8v(1)-7n to rougoqruth with a strong current. You start out in your motorboat on the east barc)(do utso7w1o0r 2qn18-wv5gotp cnk 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. Hwjj1 6uyim(c(ow much time will it take you to move 12 km downstream, in a river flowing at 6.0 km(iu jc6j1w m(y/h?

  Vector A has magnitude 8.0 m f.0iz.m2(k4fryvk cy at an angle of 30 degrees below the +x axis. The y component of A i(vkzf i2mck4ry .fy.0s

  If a ball is thrown with a velocity of 25 m/s at an angle o cyjub t0tn bmmf5zf.w+) x)kx.q4 k/*f $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line in a dir/b,d /oeyk0 tibxc3q5 ection north of east and you end up 2.0 km north and several kilometers east. How many degrees north of easdqye /t, kxbb5oci 03/t have you walked?

  A butterfly moves with a speed of 12.0 m/s. The xi4jlzy- .ey sm(ks),x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axi4y(-xskj,ys) . izem ls must be

  A 400-m tall tower casts a 600-m long shadow over a lev9m(iy w6s ;)lkxz2 nbk(x;qr uel ground. At what angle is the Sun elevated above thex9x;n y(mwu)ik6k( s;l qzrb2 horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively.zkexzkvbpq8x./ . / ,o What are the components of the sum of thxz zexqokb /v..8 /p,kese two vectors?

  Two vectors A and B hy l.k v0cmu0d5ave components (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vectory.uk5 c0m vdl0s?

  Vector A = (1, 3). Vectorl(n j3,mt,o ju B = (3, 0). Vector C = A + B . What is the magnitude of Clmn j jot,u3(, ?

  A car travels 20 km West, then 20 km South. What l8nqs11.gp8f x anjo3is the magnitude of its displacem3.jngla8n sx1 o8qpf1ent?

  Three vectors, expressed in Cartesianckxz1b*q,ddo3 4 4vjw-:v nvm 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, expressehixv /fo2)+uk d in Cartesian 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 vector B = (+3.07oydmbk3(sn( jg 5c; 0z h 6zm;ptr0mq, -8.0), what is the magnitude of vectyc qpmr6;z( 0d7hmgnbk st; 3m(z 0j5oor C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the dej6db6j* ndv u w0m:1lisplacement of the joggemdv6dnl06j1u* :bjwe r?

  Two forces are acting on an objen9hmm1)rx36z sy *nn nct as shown in Fig. below. What is the magnitude of the h m) nxn*n9ms1zyn3 r6resultant force?

  Two forces are acting on an object am1 fh+wcfirf6a1 j7-os shown in Fig. below. What is the direction of the resultant foro7fjh-if6 m1raw 1+cfce?

  Vector A is 3.1 cm long and points along the positive x axis. Vector B is 8.7 c;1dr4f0 txwtbu77j vn m long and poinj4bt ;710dfxw7urtnvts at $+42^{\circ}$ 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 loe04;fk z j+v48rzv n fp,nz5wzng and points at $30^{\circ}$ above the positive x axis. Vector B is 30 cm long
and points along the negative x axis. Vector C is 44 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 w0i ca :r8g-d(t9 tuccyith an initial speed of 14 m/s from 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 2.6 s. What is the height - tc(tu iycg9a r:8c0dof the cliff?

  A girl throws a rock horizontally, with a velocity 9-ng5 fu ytm7kof 10 m/s, from a bridge. It falls 2gut 5f9-7mn ky6 m to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 19 m above th(krg+jz a 1jn- j7gd3ue ground, strikes the ground after travelinj- zg(+3 ugjra71njdkg horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long( ycu;.homip3-7d tbj-jump goes into the jump with a speed of 12 m/s at an angle ou 3 i-tdcpo;(.bjm yh7f $20^{\circ}$ 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 ju:6ws zs1 vg+agmp with a speed of 14 m/s at an angle za+gw gsvs 61:of $39^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 52.8 +y8vui3,ib*o.gf t -xd iu,hkm/s at an angle of $43.5^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an in wnbz9rir2);:7k8m 4qode d3q vbo*jxitial velocity of 59.3 m/s at an angle of $42.3^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at ay9ywf1r 3y xud;hyw-hu)- vl /n 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 horizon(zlu,um6 t mz+s5a n0otally at 24.9 $m/s$ from the roof of a building 38.0 $m$ 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 fro -pydwq(jv a) c6c6ds2l4up6om ground level with an initial speed of 56.5 m/s at an angleud6dc6cs wp-q o 64yl(japv)2 of $43.2^{\circ}$ 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 runtl6c c6e*4ppng scj5e)8 yx)b a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a consb8e pncl45e6* )c)sg xjyc6t ptant 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 r/w.07wptk jahfm 4q6due North, and is in a wind of 50.0 m/s to the West. a r.k7mqhj4wtwp/0f6 The plane's speed relative to the ground is

  A plane is flying duc*+wggua uv3x1hh t6mg6nut hmx sqju+19. 07e 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 sp1 j7slruvka(gj/m / 9peed of 120 km/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 b60uh7putnr jn dj2 98projectile with speed 50.0 m/s in a forward dju6 07utjn8pnbd rh92irection $30.0^{\circ}$ 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 direct+8u2x1geov rnsm26nd ed across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the rin2xd g+s oevn681 2umrver?

  The driver of a motorbob1+g4pl.j3fm bja+m pat that can move at 16 m/s in still water wishes to travel directly across a river 0.7 km wide in which the current flows ml+ja3+fmpbjgb.14 pat 3.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still wat u;nm1 3fj.bu (1ghhvq;9s dmaer wishes to travel directly dnqjs a(9h;1g3 1f.hu bvmm;uacross 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 diozr 1+ uo v5mt(xdu7k lc/ds7*rectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in stil 7vsx1dd*lt (o zu+ u5ckmo7/rl water?

  A swimmer heading directly across a river 200 m wide reaches the cgeqx x(2+2ji a1 6qxxopposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the curren6x12 xix2q( a xgqcj+et?

  A boat, whose speed in still water is 2.13 m/s, must aim ocwgrl3/ eh6o.r )1qsupstream at an angle of 1s 6r)/l. erwhoocqg3$28.0^{\circ}$ (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)  $m/s$