Which one of the following is an))m p1yjc4/qa fi:iql example of a vector quantity?

  Which of the following b-rgp :l4:u xqoperations will not change a vector?

  Which of the following is an accurate statemen5 9k9/23mbvps2bfw c3gwopx*oos ng0t?

  The resultant of two vectors is the smallest when the angle between them ik,ytk5; aon; ws

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. Whenrbg hb.o);h -eh 1 j a:jwv42h7vvjb-t these two vectors are )vr:b7gehahwt h.b4b 1oj-2jj- vhv;added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the following, lceocaa,9cb i*:,x h is a possible a:*9ec,a, h ,icx acblonswer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an or)wuq4lh*6x3a tk m/ gbject in directions that are r34* t 6)l qumgxw/kha$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vzd oyal*x.5 v/.l( ub97xqwknector is

  Ignoring air resistance, the horizontal component of a projectile's velocamsaia 4 wj(*/l+j1e xity

  A ball is thrown with aw r(77sl ng4ur velocity 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 componeuoto6ys9j ,dp)h3;qf nt of a projectile's acceleration;3of yho9 q)6 sdutpj,

  A soccer ball is kicked with a velocity of *wx9m sjsb21v75w8i sksqf4 6k bfzs625 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 directedxs*tq3 ke0yf + anti-parallel to the velocity vec0 *xqt+e3 kfystor,

  If the acceleration of an object is always directed perpendicular to ito p8z b3huv9wqhc 7tc.b-;m): adc: cms velocity,7 cbz:8)-3oacumdp9:w; bmv.h ctchq

  At what angle should a water-gun be aimed in order for the water to lanbq br/v1r (mki5( 6n7uodja4d d with the greatest horizontal range?b 6na1k7 q5 /u djrbmvo(rid(4

  An Olympic athlete throws a jave3xipa9aq qo(p6 ;g 2:d0fxhrd lin at four different angles above the horizontal, each with the same speeh0rx q:3 q 6pp (aa2godfxd9;id: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the sboe(u6)w)eh3:vi2-kv c0rpyd n l0rdecond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared t dnud-0wk0o rb v)):3r(e c 2h6pvyelio your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at3 5 pmlw-ezlb-ikjbg3 7 tu:q, 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 ma, g 4qykf1bk7qdrd*9fximum height, how does its speed compare to its id79 q,*kbr4q1d ygf fknitial speed?

  A stone is thrown horizontally from the top of a tower at the sape+ sm1 t o58ysffslk)ir*)q,me instant a ball is dropped vertically. Which object is traveling fasters5),el *mfkiy sf8)optr +sq1 when it hits the level ground below?

  A bullet is fired horizontally, ljswjp9c0):g1 vqi 3v and at the same instant a second bullet is dropped from the same heighjc9: p li03)1sqvj wgvt. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontal3be(b+3i5nm bt77 pu u0ot skqly at a speed of 83.2 m/s and at an elevation of 124 m drops a package. 2.2 seconds later it drops a second package. How far apart will the two ppnbe7b3t osbm+3 0u (7u5qitkackages land on the ground?

  A package of supplies is dropped from a plane, and one secon8ehu tdj;-;wnbmepjhsnb v our(0 6b3m-22 .td later a second package is dropped. Neglecting air resistan-0be-jnu6b(tp2 2ew u.8mbj3n hodhmrvs;;t ce, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant spee8nw)cgb fkjvmr2j.dna k 4)2+d. Neglecting air resistance, when the bomb hits the grou2f .knc2)bkv +8mdajjr4wn)gnd the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of tdgac,n + gt.i +kxs,*that on Earth. If you hit a baseball on the Moon with thett.ncg+k,+*i a,dxs g 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 o c;0x*kn70dz rei g0 1jly5seroad and pass a car traveling at 45 mi/h. The relative velocity of ez;kdos 0eijxry0gc17n* 0l5 your car to the other car is

  You are trying to cr-kqttge)v ;-v oss a river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You sh q;k-vev-g) ttould head your motorboat

  Your motorboat can move at 30 km/h in styh,)w7u-em 2iyf5 sddill water. How much time will it take you to move 12 km downs7ieyf-w h5sm) ud2y, dtream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x p7 lo.j 2z/pubaxis. The y component of Ajz pl2.up7/ob is

  If a ball is thrown with a velocity of 25 m/s 1o zn**l( -e - wjbivr:mpgxb2pl, qd: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 ;(*9ybjo9nijc mkhe8 c y2)1gw.g vtmkb9n g9line in a direction north of east and you end up 2.0 km north and several kilometers east. How many de b)mjhgck8ygg;m*w299byjn9t( 9 o1 kce. nvi grees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. Th 4c42wuaw ( xd5tak3. ,qkvxmye x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis must,m a(k5 aw uwy3qtk.2dxvcx44 be

  A 400-m tall tower casts a 600-m longkyz6lsrzv 4yrmb/l .uw,a82, shadow over a level ground. At what angle is the Sy2br uvk.r,684 a/wzs l, zylmun elevated above the horizon?

  Two vectors A and B have comi t6fzjg5+.nmn :t9c tponents (0, 1) and (-1, 3), respectively. What are the components of the sum of n6z5t j9in. gtf: tcm+these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3) pwimb)rcu4of 45w9,kt3n2f n, respectively. What is magni2o)wp53 b,9t4iu wnf crfmnk4tude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What-+ fqcabi.*w w is the magnitude of- .fw+c*b iwqa C ?

  A car travels 20 km West, then 20 km South. What is the magnitoz k*(s2p /hwqude of its displacp qwkh 2*/zs(oement?

  Three vectors, expressed in Carte4*ue2vpmye 6 psian 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 coordinaso ds 1k,fl,4etes, 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 magn;j8v p ow9+q0d)i5xplvwp s-qitude of vector) i;q8q5ppsv0powl +jd x9-wv C = A - B ?

  A runner runs halfway around a circular3mqh.4x2r kiw:7 ag xv path of radius 10 m. What is the displav3 .q7xwrh xm2kai:4gcement of the jogger?

  Two forces are acting on an object as shown in Fig. below. What is thhur .), )hyhlpe magnitude of the resulta.,)r) lhhyhup nt force?

  Two forces are acting on an object as shown in Fig. below. What is the directi .hza-o0dxk(aon of the r -h0zd (kaxoa.esultant force?

  Vector A is 5.3 cm long and points ayyav*vf yc 9 7k-rk,l0long the positive x axis. Vector B is 5.1 cm longkla0*v-79,yyr vc ky f and points at $+49^{\circ}$ 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 60 cm long and pointsavx.2riwg v/) at $30^{\circ}$ above the positive x axis. Vector B is 26 cm long
and points along the negative x axis. Vector C is 39 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 horizonqpk) :4h.;z * yboeifztally with an initial speed of 13 m/s from the edge of a c:yzzokp)i q ;4*ehf.b liff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 6 ue-6hk(5ts cgm/s, from a bridge. It falls 21 m to the water below. How far does 5sgue-chk 6 (tthe rock travel horizontally before striking the water?

  A ball thrown horizontally fro*g* eiegjdg6wg x0o 49m a point 23 m above the ground, strikes the ground after travelin egge iwx*0g9odjg*64 g horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump wit6eoz63kw si:i cl d e5,ihf08ih a speed of 12 m/s at an angle of:c,i05 wieif shl6i38 oed6kz $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-ji(w4,6wj idxo ump goes into the jump with a speed of 12 m/s at an angle of(w xwdi6ioj4, $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an inity -n+pv :rg/xuial velocity of 45.0 m/s at an angle of $20.1^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 29.z1nzw* 5+e9qu 7i wvuv2 m/s at an angle of $43.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at a8ko rwg/ hro r4l sp39,uw*kf1y-:vfxn 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 shotbod:ty ve i(-ey589ru horizontally at 21.1 $m/s$ from the roof of a building 36.0 $m$ 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 from groun, en( 1qe3nksad level with an initial speed of 61.4 m/s at an 3sq ,(ek1aennangle of $38.7^{\circ}$ 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 o-5lydmo: ipi( f 4.0 m/s. If you ran the same race on a day when you haomdp-y i5 :(lid 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 w o5dktyp4nkf3nl ga02 x2 t4:wind of 50.0 m/s to the West. The plane's speed relative k2xowfk4p 0nyt :4lt52a3ngdto the ground is

  A plane is flying due South ( 3zqj2hzu7 d-h/-y fw)k/ffeh$270^{\circ}$) 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 ku6z5xc.;az f cm/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 hors7 7snk p,6 ratp3rr5rizontally fires a projectile with speed 50.0 m/s in a forward dir6 tkp ssr r7ap,5n3r7rection $30.0^{\circ}$ 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 avxhq *,2)uxjr curren rxv 2h)*,uxqjt of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 17 m/s in still water wishes to tr/w3lrh+5(flozy wnfh/ d bv81avel directly across a river 2.0 km wide in which the current flows at 6.2 m/s. How long will it take to cross the riveb3 odw1 5y(hrhn/l/+vf 8lzw fr?

  The driver of a motorboat that can move 5u *uda d.l+omat 10 m/s in still water wishes to travel directly across a na5+ddo*u l.mu arrow 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 wide reachemz3m13m0 t cuas the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fastmm3c30maz1 ut can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bank ipr2r xwu: wy5-n 6 min 40 s. She is swept doxpwy-:2wr ru5 wnstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.33 m/s, must aim upstrhdvz,4mh +/: py;1j tx :mtjdream at an angle of h1dp:zj ;,+hdmtm/4 x:jyvt r$22.8^{\circ}$ (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)  $m/s$