Which one of the following is an example of a 8y 5jatg.nw-5afa7 dmvector quantity?

  Which of the following operations will no48 j,tw7 nkzmjt change a vector?

  Which of the following is an accurate statenm0k(*ojj8p -ahmbs : ment?

  The resultant of two vectors iwx w* *,dkdw/wnjx/3rs the smallest when the angle between them is

  Two displacement vectors7--x/: y7 fgt:2vqt ebjdd xqa have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude o vj e2xqb: dyt-7-:/adg7qtxf f the sum

  Two vectors, of magnitv (v:k)( z5wc-uowkfgudes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the resultant?z( f (v 5ocgkwu:w-)kv

  Three forces, each having a magnitude of 30 N, pull on an object in d5hl8k/l6 tt jqirections thl5t 6t /h8qjlkat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecu 0e1z: +fwmr ia8eol(tor is

  Ignoring air resistance, the e,f5tvm.jx s.8p h) kkhorizontal component of a projectile's velocity

  A ball is thrown with a velo8f /z5qq4mt 8;telrar city 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 hori2e) a; 95dd u9kuuevqgzontal component of a projectile's accelerationa;9)k quue v529degud

  A soccer ball is kicked with a velocity of 25 m/s at an ais5 ;cqdxmzpe-10w0l t;ddaus; nw)9 ngle 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 d -a*mt n zeb.7r4mux1hirected anti-parallel to the velocity m4a-.1 7hutm e x*nrbzvector,

  If the acceleration of an object is always directed pdi4:s -ikob- ierpendicular to its velocitys :bi-oi i4dk-,

  At what angle should a water-gun be aimed in order for the water to lanzs 7heqi2f5 e-nk(t 8:eticpuo)e*9 hd with the greatest horizontal raitoe5 kee i)87z n *hcs- q2f9hut:pe(nge?

  An Olympic athlete thrknrzt rga(2i0i y2 d85ows a javelin at four different angles above the horizontal, each with the sadkt2(gry r a8i05z2inme 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 th6,q0kbojwt6 8tygx6qh1 2 j6gsn .r the ball leaves your hand with twice the velocity it had on your first throw, its 06b .htgg66o6rqwyqx 2tn8hks,1jtjhorizontal range R (compared to your first serve) would be

  A ball is thrown at an original sz/id5 oump pwgie+)s8v6t;7ypeed 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 height, m0zp(rek koat400w ki,l5hw/how does its speed compare to itsz 4kwp(h/ 0a5e0otml,kiw 0 rk initial speed?

  A stone is thrown horizontally from the top of a tower at the same i hx) mya(.7wasnstant a ball is dropped vertically. Which object is traveling faster when it hits tyxa 7h).amsw( he level ground below?

  A bullet is fired horizontally, and at th0 cbfj,ta 0zn/e same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two buafz 0nj/,0cbt llets.

  A plane flying horizontally at a speed of /f3vku7nhl;n(kuibt4t* i)s 112.4 m/s and at an elevation of 127 m drops a package. 7.4 secondsh(*3nbktul7i ;)s4 untfi vk/ later it drops 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 second later a secjg f-ub4z -w;oond package is drog-;fo-4bzu w jpped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plar8h8 ou9 jksmf:xqdq2g4mfkyu8 i39* ne flying horizontally at a constant speed. Neglecting air resistance, when thes9fmh u2 k8r8fq4*8mydjkix:g9uq o 3 bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. r.+ixb;c j6p j If you hit a baseball on the Moon jr+6xbpj;i. c 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 ro7dp; :o831a5axw1pjhwc pymm; mz3b fad and pass a car traveling at 45 mi/h. The relative velocity of your car to the other ;d: j1c3ohw3fap58yb mwp mzap7 xm;1 car is

  You are trying to cross a river that flows due south with a strong curre+i1w s)sjppi v21u r2ant. You start out )p 2jaus 1wiprv+ si12in your motorboat on the east bank 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 stizo1 d0grigxd *) sfu+3.z) iaxll water. How much time will it take you to move 12 km downstreamd1x+0)gdaxzgzi o*f.3 iu )sr, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degzs)na asvg1 , xwr/s:9rees below the +x axis. The y componen)rn, /v9swa ss x1zag:t of A is

  If a ball is thrown with a velocity of 25 m/s atp+jfgfr4 p j.3 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 p6ftk32f-k a snorth of east and you end up 2.0 km north and several kilometers east. How many degrees north of eap a-k fk3f6s2tst have you walked?

  A butterfly moves with a speed of 1a0sm wqpt 8u+/2.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis /q0usm pt 8+awmust be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what ancs3bwiy/ (81spr3wjybgkvr c 0::zp0gle is the Sun elevated abojrvp:b3cs 3 0y08 : /bzgyrws1kc(pwi ve the horizon?

  Two vectors A and B have componen*3iu edy css-1ts (0, 1) and (-1, 3), respectively. What are the components of the sum of th3- 1uidsse cy*ese two vectors?

  Two vectors A and B have componenb t-egks sx58nwy0*o5ts (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two v8sb - ow tnyk*05sxg5eectors?

  Vector A = (1, 3). Vector B = (3, 0). Vecttu di*0y(p4wm or C = A + B . What is the magnitude of*m0tuyd ( 4wpi C ?

  A car travels 20 km West, then 20 km South. Who2,ldge6) icg9.4o y7 xspimgat is the magnitude of its displaceme6 x igpm92lcg7gy.o soi,d 4)ent?

  Three vectors, expressed in Cartesian coo1:cc x+2z vhc,l6j aswrdinates, 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 coorae+ j5o6ym g4ddinates, 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 magnitude o(i(5oj7 dx wzzf vector C = A - B ?7zwj 5( z(ixod

  A runner runs halfway around a circular path of radius 10 m. What 7 p)v f(v.fgzk u4zxf+is the displacement of the joug(7zv.)p 4+v kfzffxgger?

  Two forces are acting on an object as shown in Fig. behup40:jt kk t7g a:hi/4glhfdqq1w08 low. What is the magnitude of theu i:gdf hkp/0:a4w4t70 qkgtjl8qh1h resultant force?

  Two forces are acting on an object as shown in Fig. below. What is the direc xh20.7u5 ,iwv o0vib5zpxtgdtion.thxpd00v i2 ,zvog 5 5wb7uxi of the resultant force?

  Vector A is 5.3 cm long and points along the positive x axis. Ve8.ar z7gzq dlkvd+qil; an3.4ctor B is 9.1 cm long and points at lr.z gklzn d43 +vdiq7;qa .8a$+48^{\circ}$ 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 88 cm lon zyv4, 6vf2 pr,ej5lszg and points at $30^{\circ}$ above the positive x axis. Vector B is 28 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 w il6k8uqt,vwj59evgv6 ( e:myith an initial speed of 24 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 3.4 s. What is the heightmeji6g8(kt:uve9 6ql v y 5v,w of the cliff?

  A girl throws a rock horizontally, with tp pf,2qbh, t7;zbr 9da velocity of 10 m/s, from a bridge. It falls 21 m to the water below. Howh,;q97p tt2rbd,fb zp far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 18 m above the goz4q8 frhv,(cqs* *2czr:lokround, strikes the ground afterr rfvo :cko*, z(482shq*clq z traveling horizontally a distance of 15 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 mh uoo2-sn v8( vy*so(ri-5shn /s at an angle hoo58sir2v h-s(v u*nsyo-n (of $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes hfp5e6vp75 :,ujq 6 -urwm gcfinto the jump with a speed of 15 m/s at an angle of wpju6fvhu5g rq m5:e p,6-f7c$17^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of .v 5cws 7mv-cf40.3 m/s at an angle of $11.1^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launcob t7il30 :mbohed with an initial velocity of 26.0 m/s at an angle of $31.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ang.gdoyu9edk/* qo75n,i .5im e,ej gmyle 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 6g .qk)zq,ds jej(zy9vls8 l 5 23.2 $m/s$ from the roof of a building 55.2 $m$ 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 gxnd+kuw4fv6 6z jv8 d1round level with an initial speed of 58.6 m/s at an angle of vn1x6+6 v kdjzfud4w 8$44.1^{\circ}$ 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 any *h*c5+ 1thgld svcz46d-qrun 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 constant headwind which slows gq5dhz-+ 4ld*n*ya6 c hctvs1 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 3; 8sd p:k;a/m lhkpdwin a wind of 50.0 m/s to the West. T :8;;3p apwksdlhk/md he plane's speed relative to the ground is

  A plane is flying due Soi)9 :j q5)p ukerwf6jruth ($270^{\circ}$) 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 odqukqp8xt,g / , 4:cwmf 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 projs8iahh,nayz 2 d18dm7 ectile with speed 50.0 m/s in a forwar88dhyh m s,a71ndiaz2d 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 wcs9-v ktvk vk4dbw .*,ater is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the rivvdtsb*,k-vkv .k wc4 9er?

  The driver of a motorboat tha*ttq75a :g jr-ba1lh ct can move at 9 m/s in still water wishes to travel directly across a river 2.0 km wide in which the current flows at 3.5 m/sa:a r-tt 7hlqbc 1jg5*. How long will it take to cross the river?

  The driver of a moto6-huaq l r2m8o*bd8 ue 1mejk,rboat that can move at 10 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 angle upstream ,l6-1 2emkaomhur *d 8 ebjuq8should the driver head the boat?

  A swimmer heading directly across a river 200 m wide rea/*ht ycf dt)w :nb*d2tches the opposite bank in 6 min 40 s. She is swept wc b:ttdhyt)*fn */d2 downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 2wtiikn. a6u *iv( 59yd00 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of idi6n5u*vik. t9y w(a the current?

  A boat, whose speed in still water is 1.00 m/s, must aim upstc8b u3k 6.dcelream at an angle ofdekl8ccu 3.6b $15.6^{\circ}$ (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)  $m/s$