Which one of the followp6ps56da.l ccing is an example of a vector quantity?

  Which of the following operations will not chjechw3joh+anw5 c)0 , w-1nj rh.z+ jfange a vector?

  Which of the following is an acc1a:76j;nr cgce) q b3,w jntpburate statement?

  The resultant of two vectors is the smallest when the angle between thwuz9etmj(.ij 75 6fyj1ek 2zs em is

  Two displacement vectors have magnitudes of 5.lf0e zqoq4 w jdag+z3rm5r:(rbs ,p,1p 3g8 jg0 m and 7.0 m, respectively. When these two vectors are added,+grr3a3: s5f4 j gj,qplqgd ew,m1 8b zo(zr0p the magnitude of the sum

  Two vectors, of magns+1 w4a55edqi+nbuah ux*/p v itudes 20 and 50, are added. Which one of the following is a possible answer for bh 5apue/qwx4+snau*+5div1 the magnitude of the resultant?

  Three forces, each having z 1 styeozm*39u/q/cga magnitude of 30 N, pull on an object in directions that a/z gyz39m/t usc*qe1ore $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknohv p 5of )(8enr7b0jtkwn vector is

  Ignoring air resistance, the horizontal component of a uggv-1(, o 3;fayauir 1m3r ttprojectile's velocity

  A ball is thrown with a velocity of 20 m/s at ab pcq3(kp8j6s 8ar in*n 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 (xfedh7 .f17k l(ybhlhorizontal component of a projectile's accelerationhfl.f 7k1 d(y(xlheb7

  A soccer ball is kicked with a 2jt /fqp;k o,r 68vxxwvelocity 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 o0 hk eo) z3lv7c:ytch5bject is directed anti-parallel to the velocity vel3y7 hth:)cc vo 50kzector,

  If the acceleration of an object is h 3,60z ;b3cj bkdgzba og6nu3always directed perpendicular to its velocity,;30gub nbc,kj6z3 ag6zo bh d3

  At what angle should a water-gun be aimed in ordyw1qz, 5 gvvdvq *zg-rz dy8r2*fu(m7er for the water to land with the greatyyvrfz1*qzd5 *r vud ( ,-vw78g qgmz2est horizontal range?

  An Olympic athlete throws a javelin at four diff 9cojk l37tcvqtsw9 3)erent angles above the horizontal, each with the same s)jkt s3 9tv3ql7wo9cc 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 lzfqq52e1 i .5docn(fpeaves your hand with twice the vel poe .1ff5d5q(2zicnqocity 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 at an angle o bagkeah7d-3vz 512+2kh gjnz f $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a fiej,4ep1a8qxo fr zw+sf4qa +l 1ld goal attempt reaches its maximum height, how does its spq1fxoajw4+1frs+ 4,apql 8 ez eed compare to its initial speed?

  A stone is thrown horizonta;qzb7exk2 )b6ju)ct qlly from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling)6 kxq;tjq) e7b2bzuc faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same inst-p 8z0dfcgcn 85qcc8cant a second bullet is dropped from the same height. Ignore air reccp5g- c n80 z8qdf8ccsistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed o)+zq)4sx - yil 2jjnpof 67.5 m/s and at an elevation of 135 m drops a package. 4.1 seconds later it djli2psq j4) - zn)xoy+rops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane,n:z:sb ;dhxj4 50eqm z and one second later a second package is dropped. Neglecting air resistance, the disjmed:5hz;szxq n: 04btance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Negllz./ x0fxcx1c+l:t riecting air resistance, when the bomb hits t xlcci10/: lx+ .rtxfzhe ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sr bi v10kbakax)s3-fc 8 +wql*ixth of that on Earth. If you hit a baseball on the Moon with the samevs1b*xf0kaq 8rak)3bw-cil+ 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 relazuxj.rlb 9f0 5tive to a straight, level road and pass a car traveling at 45 mi/h. The rerf 9luz0b x.5jlative velocity of your car to the other car is

  You are trying to cross a river that flows due soao 2coscr x1 0+gp2n4 dn74e*y3bkzgouth with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting4*p g cgc 7y0sdkozx a one+bno1r2234 point. You should head your motorboat

  Your motorboat can move at 30 km/h ine sykec3)8z tnq61 nup5vn-sh 8 kp4jof1cw; 0 still water. How much time will it take you to move 12 km downstream, in a river 6ctc1jhvnse kunpq k)f4 35zsoyw;1ne - 80 p8flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 u h3i8 btg43gsdegrees below the +x axis. The y component ob3 g4 stih3ug8f A is

  If a ball is thrown with adea1.j7kt)a*;gb cg x velocity 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 youh5 p uuzw07ypw9l f0:1hu7iwr end up 2.0 km north and several kilometers east. How many degrees north of east 5w f 0z p7u0w1uh7 ihypu9rw:lhave you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component o;0 mt y :k;/yjns1, ri9aiaergf its velocity is 8.00 m/s. The angle beg ;t:jr/myas 0eki,i1 ;yarn9tween the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow o41u+2ehta b ce gn/.aqver a level ground. At what angle is the Sun elacb1ugn.t h e2/e+qa4 evated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whalf.ve58 h7o5 fjkbq9dt are the 9 e58vqlf o hjd5f7.bkcomponents of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-01 b:mcoy*,rti,cur w1, 3), respectively. What is magnitude of the sum of these two bm*c1rwc,:yi t ,uo r0vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the maf6gco 6( g2fkhgnitud(h g26 6fgocfke of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of itewu 645 t5exwcnuhzjk:9 i4 (hs displacem nczweu6k xi4(h55 9jtu 4h:ewent?

  Three vectors, expressed inqw t )d-vzaef8g 6vmrfe*,(2e Cartesian 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 e (1 :opngc)p(yesdygy u+ee01 -.lpr 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 = (+3kpr 1rn8pn8ds9l jf0jv/ 04mt.0, -8.0), what is the magnitude of vectkp08ft8l d 4vs 01/rmrn9jpnjor C = A - B ?

  A runner runs halfway around a circular path of l+)6oj zwznja7rb1)y radius 10 m. What is the displacement of thez 6y1jaozlwjb) n )r7+ jogger?

  Two forces are acting on an object as shown in Fig. below. What is thepw o:t.;rp oz/g. ly * (hjj++b)hw0nlay rp;v magnitude of the resulta)y : rl.py+j0.n *hlh grtzpvj(;ow+w/o ;apbnt force?

  Two forces are acting on an object as shown in Fig. belolwr u62d.rni/w. What is the direction of the resdnw r/ir2 ul.6ultant force?

  Vector A is 5.6 cm long and wb ,3woqaj(8 vpoints along the positive x axis. Vector B is 6.1 cm long and point8w oqbw3(v a,js 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 62 cm long and:zc.d,+l hhws6cbtc hx :5c 03gc4sb j points at $30^{\circ}$ above the positive x axis. Vector B is 21 cm long
and points along the negative x axis. Vector C is 43 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 hlv7di,xhik+ql1 7 w fx4 (z*jof 16 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time hlx w74xhikl(jv,17d*qzf +i from the top of the cliff to the bottom to be 3.0 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 15 m/s, from a bridt8a** f2muwgt vzli14i,.d kuge. It falls 22 m to the water below. H *.*utuzma lkgvw i4,8t 21fdiow far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 23 m above the groundx6v 8i:j 2hm,bn6gexozb06pb, strikes the ground after traveling horizontally a distance of 21 m. With what speed was it thrown8m66 oe b2x z:60bigjpbhv ,xn?

  A jumper in the long-jump goes into the jump with avw8.h luy dn*8 speed of 12 m/s at an angle .y*8l 8hwnuv dof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump jxhvk9bi;)lgyy1 6/ ib-7 mxmgoes into the jump with a speed of 14 m/s at an angle ohb/6 7myx19-i)lj kvm xib; gyf $39^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 59.6 m/s at an anghi y,o 68,w7x.mktcjdle of $47.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial vsiifu0vb i79g 1:qaz, elocity of 47.7 m/s at an angle of $40.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an anglegn8c rz dq,b*0 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 horizop7os7a* pb u4 hpme))untally at 27.2 $m/s$ from the roof of a building 60.6 $m$ 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 spee vf l0nn;lj*2g nu7r)ld of 38.3 m/s at an angle )v 7fnn*;jgl20l u lrnof $43.4^{\circ}$ 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 rac/ t76kaq foi( on;ir-ee at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the to7qo -ft6aer i (n/ik;ime it would take you to finish would be

  A plane has an air speed of x47s(x pa7 flml3l a:8dvmr:i200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speedl 4x3s(lmf8m7iaar7lvd:x:p relative to the ground is

  A plane is flying due So ohyl(m/*o2hc uth ($270^{\circ}$) 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 f(iow4g+ /.lrgr 1hec 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 pr 2n/+ opc--f-wfagi cwojectile with speed 50.0 m/s in a forward directiopc og-w/fi2- +n-wf acn $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in s .6+ uh.wg)t e8t huix7 z:kd9syk(ngftill water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. Wh.t .6kd)eugx f9tiwnh8:uz k7( y +hgsat is the speed of the boat as it crosses the river?

  The driver of a motorboat t/;de3r b 4izzdex* *orhat can move at 18 m/s in still water wishes to travel directly across a river 0.9 km wide in which the current flows at 4.9 m/s. How long will it take t zz exeddo/r;i *43*rbo cross the river?

  The driver of a motorboat that can move at63u bu7j c:rwk6rnw mmw*wn* 3 10 m/s in still water wishes to travel directly acro3*7j6wumk 3nunwcw*:6r w mbrss 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 directly across a river 200 m wcf y4(ma,+ 5v1i no-he/aofls ide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. saml o(/vh+1 eao f4nf-yc,5i How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide c 1tzs eh+pm49reaches the opposite bank in 6 min 40 s. She is swept downstreamze94hsp ct1 m+ 480 m. What is the speed of the current?

  A boat, whose speed in still water is 0.86 m/s, mu 2,x;z 2. p7tghaee2kjw4es xnst aim upstream at an angle of h42e7spx.jgtawxz2 ; e e2n ,k$30.1^{\circ}$ (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)  $m/s$