Which one of the folcrei3a 5r32h xlowing is an example of a vector quantity?

  Which of the following operations will not change/vo( r t qttih*z;f hy(8y)in. a vector?

  Which of the following is an ac( :p vkzq*h gr(gy*si2curate statement?

  The resultant of two vectors is the smallest when the angle between)p/4s ;spnd3vpc y)u q them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectiveh axgj 6/. ndp6is;tw:bht4fk08y u*ely. When these two vex*yh:j0p 4kti86du.wbf6ehasn t ; /g ctors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the fo+zqfo,.+rn l0w*r icyllowing is a possible answer for the magnitude of the resyqo* cinlrf++wrz., 0ultant?

  Three forces, each having a magnit2 agk,2ni)f i/wt q6jjug2h *nude of 30 N, pull on an object in directions that *uj 6giqgi,f/t2a n22jwn)hk are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector8i ic htb,6j;i is

  Ignoring air resistance, the horizontal component of a project /na7l4he ycgt1o,lp8 ile's velocity

  A ball is thrown witovitj9;m.p i e9mu3q5 h a 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 hhqmdr.myjq4nmz r g )if 04dc6a04q: 3orizontal component of a projectile's acceleration3d4 qmqhqymrfz4nig40 :)ac.r jmd06

  A soccer ball is kicked with a velocity of 25 m/s at an angle of e1gk : p5sn.q9 u41m2ltxii mi$45^{\circ}$ 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-pa 01sk u5,m ,4vk5q gvct2bnsb o*o2cb,otv6gdrallel to the velocity v,no b gub4o52 s2,vgc 0qv*kvkoc61tbm5d,stector,

  If the acceleration of an object is always directed perpendicular to it(tc:d(q*1c (6kua gmtah y;bts velocitbgk(hy6(;ctt1 ta(u* dq: cmay,

  At what angle should a wan( meb+ s axf 5c:,oxzn1u,saog5p 06uter-gun be aimed in order for the water to land with the n s :ou(f 5op6m01aba e+,,xnzsux 5cggreatest horizontal range?

  An Olympic athlete throws vgs6)w r*y,sw4ewgg/tu ffehy-7 ,-p a javelin at four different angles above the horizontal, eav,*w sgp htg ru--s74 ,6f/e) fwwgyeych 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 lea0rldm2kb ) jg 2ly(:svmjnd+1- a qbs,ves your hand with twice the velocity it had on your first throw, its horizontal range Rs)+,:g jl1m2r b2ayb -m0qkd(n jvl ds (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s0.5k5kgizj*v/vv , peh g3) kw pabsy8 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 ma mqlfnw,j6s lm- yz:1.ximum height, how does its speed compare t n:6 -zlyq,lmm.wj 1sfo its initial speed?

  A stone is thrown horizon*ytcr)e; hv z*tally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the lh*) e;c*ztvryevel ground below?

  A bullet is fired horizontally, and at the same instant a v+ kdp5trj8n(second bullet is dropped from the same height. Ignore air r5 jt+k(d p8nrvesistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 67.3 m/s and at an 8x 3fvoip (*clelevation of 268 m drops a package. 3.5 seconds later it drops a second package. How far apart will the two fpcl3v(x * oi8packages land on the ground?

  A package of supplies is dropped from a plan n:yek)s g0x*ne, and one second later a second package is dropnse):kgn0yx* ped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally a84i z,fceotf 0t a constant speed. Neglecting air resistance, when the bomb hits the ground theoz0cf8etf ,4i horizontal location of the plane will

  The acceleration of gra c.))*t5 /rsvhrtvz zfvity on the Moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed ans5r t tr)z fh.c*)/zvvd angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h iq (+2ww1zwn g. qkp3 8mr1:mdvt*wrs mn the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car totr2k:w 3*gw sqwmq(m+d. nv 1w zm1pr8 the other car is

  You are trying to cross a river that fk9p c 7(+wkdifdl m;9ye5nwoq;8 f.vglows due south with a strong current. You start out in your motorboat on the east bank deq;(5li8kf py7mgwk.+v d9 wned;foc9siring 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 stqn3o ebt,q7o/j-t7kbbse -:-fj3wcwill water. How much time will it take you to move 12 km downstream, in a river flowing at 67jt -o,- b q/:ew ent3s3q- bf7kwcboj.0 km/h?

  Vector A has magnitude 8.0 m at an angle o.g/nki*:i:rzy k,vu ho 4l68kw3qyrj f 30 degrees below the +x axis. The y componenoi4.hr3zr kv:6:kgnk/y i *,jylwqu8t of A is

  If a ball is thrown with a velocity of 25 m/s+; hd/r0klu:0eivw,zjg in d; 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 dirdlb rq x01uc73vdn,r 1ection north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walked?3r 0 v7b1u,x dlrnc1qd

  A butterfly moves with a speed wrpi /)2tkm3b/ + symrof 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direrymitpkw b)2 msr/3/+ction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a lt*m67ms(*ubjm-pqi czl 9iy;evel ground. At what angle is tzitbqp*u s7m9ym-l ji*6( c;mhe Sun elevated above the horizon?

  Two vectors A and B have components( e6pts )krz vlpvh:1gre:** h (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vese h v::k6*rh*evlzg)pt1 (rpctors?

  Two vectors A and B have componen mxuz+u5t q2;wu02s srts (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two vec msuzu+;s2rtw2u0 5 xqtors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the mag8e-/wbof*e hwnitude e-whbowf8* e/ of C ?

  A car travels 20 km West, then 20 km South. What isq/qcr 8vfx2a /0 c7c8uuwbo q) the magnitude of its displaceuq 8) vux qf 2rcqa/w/ob7c08cment?

  Three vectors, expressed in Cartesian coordinates, nsz e,c mx3bidcn6954 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 coordinates, * zrs s3gc2awu1( pfi9/af;esare
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 wwvvm d/n1th n k01+5wvector B = (+3.0, -8.0), what is the magnitude of vector C 5kd11/ w nn v0twhv+mw= A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the di,hsdv7 +qudxj c-nq69c: l)tmsplacement ofct 9+6q m-hdnsvq7 jl,u )d:xc the jogger?

  Two forces are acting on an object as shown in Fipn h+,6p eneg(g. below. What is the magnitude of theng+ n6e e,(php resultant force?

  Two forces are acting on an object as shown in Fig. below. What is the dir w sdl2,stnr4c3p37rqection of the ress,wrc7n32tdl4qs p r3ultant force?

  Vector A is 5.4 cm long and points along the positive x ak l8x;p0klz q*zm+c k u3b*.ijxis. Vector B is 6.6 cm zqjk x;kp 0.3+u8li*zclkbm* long and points at $+38^{\circ}$ 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 56 cm long and pjf a gv2h5ht/3)zb i9soints at $30^{\circ}$ above the positive x axis. Vector B is 26 cm long
and points along the negative x axis. Vector C is 31 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 11 m/s from the edge of /: v2qru5 xmcga cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.9 s. What is the heivu q2g/cx: 5rmght of the cliff?

  A girl throws a rock horizontally, with a vebwj8l+9kjd45in ple9-o vp c4locity of 16 m/s, from a bridge. It falls 12 m to the water below. How far does the rock travel horizontally before striking tpd4okl c95l +w8 ep vbij-49njhe water?

  A ball thrown horizontally from a3* jte7s a l4ciovi9p;*xlwshccs928 point 25 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it throwpcaos2w ;83 9cxc4i l 9is 7ev*jtsh*ln?

  A jumper in the long01yyy ;f fgk xjl1bn.6-jump goes into the jump with a speed of 12 m/s at an angle of g l;kff6y bx0jy1yn1. $20^{\circ}$ 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+gf1y*t0-g++qoz e.a cf j pvd of 13 m/s at an angle gy+aezdf tqv-*p.+c jf g01+oof $37^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial veloc0t(9nzea dl 6ge9wq6tof( yds9 7e:*ogh w.xw ity of 23.4 m/s at an angle of $30.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched *ykd xy0dh(l 7wt+jcvgg0t 2*with an initial velocity of 50.2 m/s at an angle of $27.8^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired ak3vm5u+*qrb blf;t u- t an 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 horizondh*et9b d89r1 q p6cioo8doh(tally at 20.0 $m/s$ from the roof of a building 39.8 $m$ 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 gro7vfzbum t1 2;nund level with an initial speed of 49.9 m/s at an angl1uf;mz7v 2tb ne of $40.7^{\circ}$ 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 velocit2/e oo (svcaw3 30vpz,a0 wcpyy 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 time ,sv32p 0zyw3 eaoaopc/c(vw0it 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.*w/wuv )n ku1oca ;m;t-7corx0 m/s to the West. The plane's speed rurwu 7wcv;-to;m*o)c1xk a/ nelative to the ground is

  A plane is flying due Sotles5l 0w+ d--dsq(ec2cg6 iwuth ($270^{\circ}$) 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 km/h is headed ng h h.s hy9e;-m;wpq)ki2aj9$30.0^{\circ}$ 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 x 9+)cii mg/u2mw; 3eq ,pd2rj7vs2z j*tenjefires a projectile with speed 50.0 m/s in a forward direex2ev3/9dme*q +w ups2 ij2c)jj7z,mni; gtrction $30.0^{\circ}$ 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 rivl-m bjoa*pex s0bv7 c10oy*e4er with a current of 6.0 m/s. What is the speed of the boa ybxj b0v*p0e4c*a 7olesm- 1ot as it crosses the river?

  The driver of a motorboat f dn9sl0 eyhkn0:07mn that can move at 17 m/s in still water wishes to travel directly across a river 0.6 km wide in which the current flows at 6.2k90y:l0 f7 hne sndn0m 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 wishes tpaj 8cc +9 htbh+aam);o travel directly across a narrojt amah cp9b a+8)hc+;w 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 bfbx4i,;ara. bfz 6 ; yshelm5r6 1q2gzank in 6 min 40 s. She is swept downstream 480 m. How mhzfrgre 4liasy;2q6x b f 1z;b,.5a6fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the eud,hew3zit )jxunm )t+ ; 6o4opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the s o3t hzuw)4in ud;6t) ex,mje+peed of the current?

  A boat, whose speed in s-e:a 5 *7dh cmawo7cjejc1l.1(srvu xtill water is 1.61 m/s, must aim upstream at an angle of j eh7aa1uvj(m c*1xclre.:dw o7 s-5c$22.1^{\circ}$ (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)  $m/s$