Which one of the following is an example of a joo -,bc4w 3jtvector quantity?

  Which of the following operatvsfte2, sepxf*0 wql1w3gj34ions will not change a vector?

  Which of the following is an ac-h fwlhqqcq1 u:sow+twuh5c (/ f;d07curate statement?

  The resultant of two vectors is the smallest when the angle between *zg qm(t.(pexthem is

  Two displacement vectors have magnitpx )p ph:-lt0n4 xa7koudes of 5.0 m and 7.0 m, respectively. When these th-ot xa 0:ppl47)knpxwo vectors are added, the magnitude of the sum

  Two vectors, of magnix f)wkyg2 ./zytudes 20 and 50, are added. Which one of the following is a p)/ykz gfxy .2wossible answer for the magnitude of the resultant?

  Three forces, each having a magnitu q1jb04cu0e(xj8ybm vde of 30 N, pull on an object in directions thae8yuxmv( 001bjqjbc4 t are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vectff* 0 o ,wxu3pi5rd0pruamw2d22 jbu2 or is

  Ignoring air resistance, the horizontal component of a proje h ,urjycd55b+ctile's velocity

  A ball is thrown with a velocity of 20 m/s at 16 a/a.*ttyekr rcrzmp ,6:.ms;zq aean 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 component of a projectile's ac)nwp+ 2ml9red celeration)pre+dnl2w9 m

  A soccer ball is kicked with a ldjay5x )7tq6 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 vector of an object is directeb3uz2.vqh6wzy c -qq ;d anti-parallel to the velocity vector,.bhu- ;3v qcqqw6 zy2z

  If the acceleration of an object is always direcsyr1;.ap tr+o 6)fd8aut;gwle 64gydted perpendicular to its velociturtdsg we;; or p 6)gd68y+.1falay t4y,

  At what angle should a water-gun be aimed in order for the water to lqdn.5k u .9p 8oq yn4n4pvm*wfand with the greatesnq m9 w .54fp.4p*8u yvnnoqkdt horizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizont z9gkbm8n7e9.lv kz :agci3 p/al, ev9gpk7/8nbzc.l m:a 3kz g9i each 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 +e vs wkae7j49your hand with twice the velocity it had on your first throw, its horizontal range R (compared to yourjk+e e79awvs 4 first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angl(5u 1gd *xdjbcn:u3wx5mxs7g e 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, how.-l(w x t56t;ijb6e ;iabagz y does its speed comw;a6-att.lxy g6( jibzeb 5 i;pare to its initial speed?

  A stone is thrown horizontally from the h4gl: wi7p(autop of a tower at the same instant a ball is droppepw:( 47hul igad vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a 3h0on8 bx(f;qx *bup tsecond bullet is dropped from the same height. Ignore air resistance. Compare the ti h0b*tx nb8uxpoq(3;fmes of fall of the two bullets.

  A plane flying horizontally at a speed of 101.0 -9 0(lurfvqbjc(yrh 8 m/s and at an elevation of 277 m drops a package. 7.1 seconds later it drops a second package. How far apart will the two packages land on the groujrv0qh8r(y (-b cf9 ulnd?

  A package of supplies is dropped from a plane, and:iiwve*y 57ah . mv8vd one second later a second package is dropped. Neglecting air divw iye*m7.vh 8v:a5 resistance, the distance between the falling packages will

  A pilot drops a bomb from a planap9cw ce 3 q.(ybgb -+q,lcxkd+rs 20ue flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the2br+lcw0e.3,gkscc u+q(by-9 px daq plane will

  The acceleration of gravity on the Mo5av2epue 6ipe 5l1l4qon is only one-sixth of that on Earth. If p 4el6ae5l uq pe1v52iyou 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 p0 7b9 jrzjuft ,75 1sh/eojvbroad and pass a car traveling at 45 mi/h. The relative velocity of your car to the ojb/5ufvo0 7j rj 971,htszbpe ther car is

  You are trying to cross a rivimyfx 432+fkc er that flows due south with a strong current. You start out in your motorbokfy2x+mf34 c iat 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 still water. Hb2kjg:p zao -.ow much time will it take you -pb.zg:k2 oj ato move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an. g:5x6x- bawka,dhj4qlhtxj f*;3az angle of 30 degrees below the +x axis. The y compo6wahf xtalxa,-b4 xk*;zd j:. 53q jghnent of A is

  If a ball is thrown with a velocity of 25.b)f,ipj :e kf nqu12a 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 w g3tqq rvhr:g038)b1l4gkpw straight line in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you walkegv:) 4h3wtrqk0 p8r b1wg3glq d?

  A butterfly moves with a speed of 12.0 m/s. The x componen;4a j437n d+o egqxkotkm a6c1;y lwi;t of its velocity is 8.00 m/s. Taidkey mlnk; go1xw7+o ;tj 4 c;a64q3he angle between the direction of its motion and the x axis must be

  A 400-m tall tower c,d,ovcby5d g6asts a 600-m long shadow over a level ground. At what angle is the Sun elevated above the horizon?v,6d,bdy c5og

  Two vectors A and B have ceft e6gb(1 :p.q f1gagomponents (0, 1) and (-1, 3), respectively. What are the components of the sum of thee1q( e fgt 6gf:1pab.gse two vectors?

  Two vectors A and B have components (0, 1)(mm4.lli d pplh5v89m and (-1, 3), respectively. What is magnitude 4p5m( iv mhml.p98ll dof the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magn qd a uc)hvw bjlult6g* 81*)(yr/j0otitude rh*jl gq 1)/ b0d)c(68luyat u*otjw vof C ?

  A car travels 20 km West, then 20 km South. What is the magnitude,qe e ga-1*uo2f5a fyn me20jm of its displacemenem*2, yf u2a10fjmq- a5oeng et?

  Three vectors, expressed in Cartesian coo/09;bo gnaki zp3(fzk07dtgf rdinates, 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 Cartesig dscv-cmi j/zr8 5o)yhnl*1 (an 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,/8gjb1lp7u*sd z s r2x -4.0) and vector B = (+3.0, -8.0), what is the magnitude of vect /1slu*zgs2d8 px7rjb or C = A - B ?

  A runner runs halfway around a circulapnui -::0-ozn p a4lukr path of radius 10 m. What is the displacement of the jogu:4:0knpoalpu -n -iz ger?

  Two forces are acting on an object as shown in Fig. below. What is the magnp+mpf(((9vpxf)w5hdhj/ 6 l jbz hff2itude of the resultant forfj5 /w( )(mhv(lzjp6 ph9+df2bfx fphce?

  Two forces are acting on an object as shown in Fig. below. j xo+x7nky/h4 What is the direction of the resultant forceoxx+k y7nj/h 4?

  Vector A is 5.0 cm long and os/th -xrn,uzg038d a points along the positive x axis. Vector B is 8.6 cm long and points at0 ,3-adxros/8ztn ghu $+20^{\circ}$ 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 89 cm long and poinc/6. vxz65nextf ir.c t63w bmts at $30^{\circ}$ above the positive x axis. Vector B is 22 cm long
and points along the negative x axis. Vector C is 36 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 initia:ytivkl+n+ f*l speed of 26 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the tolv kti+*+ny:f p of the cliff to the bottom to be 3.4 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 11 m/s, fromo12anso, 8jrm a bridge. It falls 11 m to the water below. How far does the rock travel horizontally before striking the wamo1a8 ,sj on2rter?

  A ball thrown horizontally f0e ih: krct sso*8x61 zoaj:f(rom a point 19 m above the ground, strikes the ground after traveling oi* 1tosk:j08z6 :e (xrfa schhorizontally a distance of 16 m. With what speed was it thrown?

  A jumper in the long-jump goes int nge93; it/zzqd7f* cmo the jump with a speed of 12 m/s at an angle ofn7zmeqtz*i gfc9/; 3 d $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump go ty+ j):.iq.o 75fng gw7vthzyldw0z6es into the jump with a speed of 11 m/s at an angle v dg gof77.t q5lyjtz n.6w )yhz:w0+iof $16^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 31.7 m/s at vh+xt 6ttqc*+w4dz6e an angle of $13.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launchedpowd,4d 0 cdpb7gc5* c with an initial velocity of 47.1 m/s at an angle of $29.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an avkm;7y) ibyp9 )ro aayj i2c45ngle 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 horizontall5o*;j zcuwtl+j-q9ph y at 27.8 $m/s$ from the roof of a building 55.1 $m$ 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 speed of atx- 68w)idf1vm xw 9p63.6 m/s at an ax19atwm 8pwv if-xd6 )ngle of $38.2^{\circ}$ 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 of 4.0 gpg+tuyn zan qw58;lig7r 7*tm 4k4b* m/s. If you ran the same race on a dq l4gg+7g8wanty7 4m z;n5rki*utp* bay when you had 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 wind of 50.0 m/6 5ludkjns c++rdjs( ane 5//oxxj1;xs to the West. The plane's speed relative to the groundjedxdu(/1; njrk cjxo 5l5+6n/+axss is

  A plane is flying due South (a/d)hl-wt5v 3iu 92z.ghbq wo$270^{\circ}$) 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/p,kz petv 3+h,oqe3 -dh 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 horizont4la 8)cdqxk 8gally fires a projectile with speed 50.0 m/s in a forward qk gax)8l8cd4 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 mbk, w72so6hdw/s, is directed across a river with a current of 6.0 m/s. What is the spee72 ,bwwkoh6sd d of the boat as it crosses the river?

  The driver of a motorboat that can move at 18 m/s in still waterlqrxt2a jd92t9q-a 1 m wishes to travel directly across a river 0.7 km wide in which the current flows at 5.0 m/s. Howr a qxmttdaj2lq1-92 9 long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still wat-7b vmizj 5233b :dico-zhuqs er wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angv53dj3qsbzh z2-c:-omi b u7 ile upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the oppw4mn63((x- oqfp5iq nmvh w;fosite bank in 6 mip36qnmf-mnx 4ho if 5w(v ;q(wn 40 s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the hdf+3 1lmb+orv myd;9opposite bank in 6 min 40 s. Sy mh d+ld3 f;9m+obv1rhe is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.91 m/s, must aim upstrema(rtuaj /ux-4 f5gff 7 9k3ybkh(v2vam at an angle of (f tkgyvku -xb 4ru 9vahm3/7jf25a( f$15.9^{\circ}$ (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)  $m/s$