Which one of the following is an example of a vector quan k 2hz m ,i03walb*9c 3z not)9rkws+ivtj2,oqtity?

  Which of the following operatio, vi-erbv 27wx/yc 7pons will not change a vector?

  Which of the following isl6df *y1om y8m an accurate statement?

  The resultant of two vectorsl02 wsn*kso/3/v6 yos*kfas c is the smallest when the angle between them is

  Two displacement vectors have magnitudes of g nvl) kr9s+ila1-t -k5.0 m and 7.0 m, respectively. When these two i)agnk+k st 1r-9 lvl-vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Wqifn2 vu0 q,l h, 7djl2lah1p7hich one of the following is a possifa lj21li0 ulq, hnh,p77qvd2ble answer for the magnitude of the resultant?

  Three forces, each ha *6 ln tir -vkv.kdhv3667edbnbw+ bs+ving a magnitude of 30 N, pull on an object in directions that are ne67.+w i* kdkbdb6lrn s thvv-b6v+3$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, ta)r(sch sij 78fhs35d tfg(:ihe unknown vector is

  Ignoring air resistance, the horizontal component of a proe;w7y9u j1x8ltdyx8sjectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angl0 0wrfcdj3uuv.k 6 ( yla/l-lbe 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 component oi . nvrq:sik9:f a projectile's accelerationriiqk: . :sv9n

  A soccer ball is kicked wittcub e,b68caw; zc- :wh 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 vect20t u v2;tskxe+z,loo or of an object is directed anti-parallel to the velocit ,txl s2zo+t2;0ovkeuy vector,

  If the acceleration of an object iqds2* lpct0 3ls always directed perpendicular to its velocit20lq3pst*cl dy,

  At what angle should a water-gun be aimed in order for 143umaj cx1umiawlm*2 u3bc)the water to land with the greatest horizontal ranbj3cxia l 4u*wa mm1uc31mu2)ge?

  An Olympic athlete throws a javelin at four different angles above. + nzqn ldi 3 wjg,8:w;6hyfjz:+a-yfvya gz5 the horizontal, eac f-w+ 6,iy ad: g+j;hjw5lyvnfya3 :z z8gqnz.h with 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 time. If the ball leaves your hand wlht n.y -ej.m4x l ch*b5,cay2ith twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would b j 2e.4lh-cal.*hx mc5yy nt,be

  A ball is thrown at an original speed ou-8+mjvj ov 04ed tcv1f 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 heighmo oypfqt;; 4-t, how does its speed compare to its initi poqfyot-; m;4al speed?

  A stone is thrown horizontally fyjawa8b(x(*h, myuk +rom the top of a tower at the same instant a ball is dropped vertically. Which objectm aw, y(8xayj*+k(buh is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is drooq;p-pl+ol3gddw48 ppped from the same height. Ignore air p;d4oo g8w+ -ppd qll3resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 95.4 m/s and at an elevation of 268 8sb3if n84k z4s-tl5rf fmwz*m drops a package. 3.4 seconds later it drops a second package. How far apart will the two packages land on th 43fk*8zm5fw l-sibnfr84tzs e ground?

  A package of supplies is dropped from a plane, and one secfs yyz(6h+mcc;u qz15df f1t+k:kl d*yq // ljond later a second package is dropped. Neglecting air resistance, the distance betweenjfhf /y (l1z:kydft6m5+ c/qdsckqlu 1*+yz; the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed. Ne zrwv5)pky * lpumf5//glecting air resistance, 5p/v/rwm*pfukz y)l5 when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth az+ln7+)wy;nd dikja+ k6c2 nof that on Earth. If yo lk++;z +adikn6n2ja ndw7y )cu hit a baseball on the 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 relative to a straight, level road u7r6lppas+sh.: 7ix*wy6l zr and pass a car traveling at 45 mi/h.6:rsiwa6 7s+zlr h *upyx.7pl The relative velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong cujfg is a4.q0f)r4wb/jrrent. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You sff /)4awr 4jj qgb.i0should head your motorboat

  Your motorboat can move at 30 km/h in still water. How mxl2*nl;kgnd 3 uch time will it take you to move 12 km downstream, in a river flowing lnk*x3g ;n l2dat 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 3xo;zn1,npv7 c 0 degrees below the +x axis. The y n7vno, pcz1 x;component of A is

  If a ball is thrown with a velocity of 25 m/s at an am2zanfi /(kogam 5 22bngle 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 xr(r9c /mfk(ga direction north of east and you end up 2.0 km north and several kilometers east. How many degree m kg9rrx(f(/cs north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x comp6y zstqs*+-8k*8dblwu)caam onent of its velocity is 8.00 m/s. The angle between the direction of it8m *s-k* scu a)dq l68ybzwa+ts motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground.j)z*p:zd u94pvi d 2rp+ziyp8u c -.r:um0yla At what angle is the Sun elevatepjp0 d* z: y:p4.ruc-z)upa 2iy9vudir+l zm8 d above the horizon?

  Two vectors A and B have c/xqzd 4zjt07 fu6 e*btomponents (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vex ftdeu76t40/zqz * bjctors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Wha xs(vzcn3zkzf1p:k ) s,hs) +jt is magnitude of the sum of thesz+,nvh:kz 3zpfjk x)sc)1(ss e two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector vo:lxz)q 4n 9aC = A + B . What is the magnitude of n)l x9o4av:zq C ?

  A car travels 20 km West, then 20 kr,kg 7.y fe6xrt t*yo+m South. What is the magnitude of its displacement?yt xogy6rr+,e.7tfk*

  Three vectors, expressed in Cartesian j:xv6lo2uk m/ x6g )ascoordinates, 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 cohl /6s/k oxll7ordinates, 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 =kc:jj/ j5raa,2 g(i f(ha4q5t1avzq y (+3.0, -8.0), what is the magnitude of5ta,:jf1ka/ acvz i2j jh( q rg5yq4a( vector C = A - B ?

  A runner runs halfway arounda1zsm.yj 6j ey+y2;ud a circular path of radius 10 m. What is the displacement of the joggj j2uz1.s6;a+ydymey er?

  Two forces are acting oxgsc+nk); kjg7p j01yn an object as shown in Fig. below. What is the magnitude of the rjn sp yggk jk);10+cx7esultant force?

  Two forces are acting on an object as shown in Fig. below. What is the direcir*c wiyw(0 6le;qsj h8/ 0kdl7)joy ction of the re 0(*c6)dy0swe /c7hwqkro yliij j;8l sultant force?

  Vector A is 3.9 cm long and points along the positive x axis. Vector B is 70y byhk a9gi;8.5 cm long and points atykb9y8hgi0a; $+48^{\circ}$ 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 86 cm long and poipyb/ cqh-m(; rnts at $30^{\circ}$ above the positive x axis. Vector B is 28 cm long
and points along the negative x axis. Vector C is 21 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 29 e3wtlx b/f 48wulyw,/l0k6hqwu, :tjm/s from the edge of a cliff. A stop watch measures the stone's trajwwx,,lw0ub k q/l t68uwyjl4 he 3/ft:ectory time from the top of the cliff to the bottom to be 2.1 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velo;+ozcxnx/6; 5f+s d hh0xgktecity of 13 m/s, from a bridge. It falls 29 m to the water below. Hh+e tg/xnx +h0 skf c5o6dz;x;ow far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 20 m above th.u7. mch* 6: stgeki,6yikx u+viw 2zqe ground, strikes the ground after traveling hucq.igv ke,z2+ h6mktu*w x.s7 6:ii yorizontally a distance of 22 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at a ;3*z*nzcn8n bbrq*ri n angle o*3; zn n rrz*ib8*nbcqf $20^{\circ}$ 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 .4 a9xndy+ggmla :vum *l79yq 9 m/s at an angle of:v79la gu dlqmgy.4ay n*m x+9 $37^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wito g.xl-s:a8tk4ko.u:e iluo -,ecl f/h an initial velocity of 51.4 m/s at an angle of $20.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velo3jshug2o-s.b t( nrq9u5 f s.s9 h.igxcity of 26.3 m/s at an angle of $45.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle of ayi6ew7x )k;t$30^{\circ}$ 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 fxzsln+1v 1;th s8 b5hhorizontally at 26.0 $m/s$ from the roof of a building 66.3 $m$ 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 if 96frs4spd wqk:lpe: k( )s1unitial speed of 48.9 m/s at an 1 l fqrwf9su4s:p6ekdps)(k: angle of $39.3^{\circ}$ 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), you can run a*eid7a 7dbb-p 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 hea7a*ddp-ib7b e dwind 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 wind of 50.: *dcad*ewg2 r- vm7yk0 m/s to the West. The plane's speed relative to the ground is:kw*a*ddg cmve y -72r

  A plane is flying due South (xgpz 8)7w+t8m nfqj)a$270^{\circ}$) 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 a*lt tuu 5ptsri(*27pv 9x3mnof 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 200m+o+ 6j*i2lu 2tky 1eml: ,hiw.xr tkz m/s horizontally fires a projectile with speed 50.0 m/.lt+ 2 oxykikm :2i,1el zj6w *t+urmhs in a forward 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 wi2sv//os4c5:hl -( hvdkjint p th a curr -2(j/v/ 5 cnssi4ohhkdvplt :ent 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 14 m/s in still water wishe :0yhw 3nrk sa6+wled5s to travel ad5e0r6nw +:3hswklydirectly across a river 1.7 km wide in which the current flows at 4.8 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 water wish 8y8u5m 8qdjbgplp2 :xes to travel directly across a yl 5 :288mb d8juppqgxnarrow 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 reaches the opposite bank i htbb/fw )o2f/i0,qw in 6 min 40 s.q /b0ioi2 h/w,)bfwft She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly acroww5 -js 5ytn g53m+mbtss a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speedt5s+b m5-gjy3w5 nmwt of the current?

  A boat, whose speed in still water is 1.49 m/s, must aits+ 1u*ihk+e ec 71fhkm upstream at an angle ofe1u*7i1 hk tkc+fs+ eh $31.0^{\circ}$ (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)  $m/s$