Which one of the following is an example opbw2 c2 g/vq.yf a vector quantity?

  Which of the following operations will not tim 4ah;xq6d -change a vector?

  Which of the following is 0aqzrgi3 pv. ;an accurate statement?

  The resultant of two vectors is 15d6+loor9roj f7yej the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 my 59fhgt:2l ucns3g6q , respectively. When these tw:q5f 6yul39 tshnc2gg o vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, mpoo b2riu(kiq ur * 0863cg.iare added. Which one of the following is a possibq(g.o *ic 8ku6r iri2u0mb3op le answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull dukrvj24t9z7b7n4jfsz0a 7 v on an object in directions that arjd s79 j4tkzvzbu0 rvn2 a74f7e $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the u sfvo ;rm, (h,.kbpy:j 9wae4oaxn9+vnknown vector is

  Ignoring air resistance, the eu- d e);o42:xmxbairwh/lrdq)( v;vhorizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angf++ irp)flf 5qle 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 hot kq r*,cu7q*lrizontal component of a projectile's accelerationq *quct r*,kl7

  A soccer ball is kicked with a velocity of 25 m/s at an .xpb/v gw,0 vpangle 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 directed anti-paru27rj+e q dlkdf0qgeuyfjq: /.f 3+;jallel to the velocity vectku/0:+e;gf yfj+q7fudlj3dq2 jrqe .or,

  If the acceleration of an object is always directed l 2el+-i vt7m cc-mbc e:i6ln(perpendicular to its velocity,ci -lv6eilln2b mm: c7(tc+e-

  At what angle should a water-gun be aimed in order for tga 21vbl.dda65 xb q+mhe water to land with the greatest horizont2mv.aa b1bd5 l+x 6qgdal range?

  An Olympic athlete throws a javelin at four different anglesh:x4 y7r(bs*u;xmakh above the horizontal, each with thex7k ;4ray uhmb(xs*h: 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 withy/12xi vp q5e*tfn. ep twice the velocity it had on your first throw, its horizontal range R (compxppqye1tn5 /2i.*fve ared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angl ,08:lj eybscve 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 does+1ia 7bc+ymd c its speed compare to its+ac71dym c +ib initial speed?

  A stone is thrown horizontally from the;jkc .v52*whdshfur / hk/3gpx9j 0 w e,ufst. top of a tower at the same instant a ball is dropped vertically. Which object is t*0k 5w cj/hpguk t,xfe d. uw2.j9hsf/h;rsv3raveling faster when it hits the level ground below?

  A bullet is fired horiz )z9 swp5nrg tkfrt):sih( r,a -(7hl k(vg*gsontally, and at the same instant a second bullet is droppedsihsk g7 tprn( ,)-atr wzs(* v5r l):9(kfghg from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 55.8 m/s and at an elevation o yd b/n/aher d/75uu7if 284 m drops a package. 7.2haynbed/r/d75 ui/u7 seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped (t//)jll,j0apj rdf1 ulks,b from a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packages wi,0u ld ra j1)( pb,fsjl/klt/jll

  A pilot drops a bomb from aekhojc+y19n7d5q d3g plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the pn7 q k39dhd y1jg5oe+clane will

  The acceleration of gravity on 7 b:j :9epz nh/dydvpvl:nv z7z-ss49the Moon is only one-sixth of that on Earth. If you hit a baseball on the Mov: y97s7e:s /vb z n l4:dnp-9jdzhvpzon 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 re)c(:((wskb govpfgy(lative to a straight, level road and (bwfc(g:)vs ypg( (kopass a car traveling at 45 mi/h. 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 curvc*/s bi8c vsnw)o orkr1:a7va6 u,5krent. You start out in your motorboat on the east bank c)oa r/ ,vbiok1vc:kuv *7rnw58ass6desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move a6l1hof iko( .it 30 km/h in still water. How much time will it take you to move 12 km downstr. i i1klf6(ooheam, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an anglejb-pa,/eh-*a csb 3il of 30 degrees below the +x axis. The y component of A isb e-,lasj -3/a*p hcbi

  If a ball is thrown wiy8jvn4s6mur* mf :bu/d )qha 0th a velocity of 25 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 straight line in a direction north of east p*,l sm/q 4xk*4tlzo aand you end up o4qakz4lm,xsl /*p*t 2.0 km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed rji*,ej yq/*1tbg;5vs r o;vb of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion a y5*v;g1,s b; trq oj/ibevj*rnd the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a levelv; q r72uwwla2 ground. At what angle is the Suwr a2uv;2 7wqln elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whgp3 i3w;nka *bgo dg67at are the components ofa6gk gogd3nb*73 wpi; the sum of these two vectors?

  Two vectors A and B have compt. wu /,y8zb ly;ch6vhonents (0, 1) and (-1, 3), respectively. What is magnitude of the sumz86ut vbwly,h/ y.c ;h of these two vectors?

  Vector A = (1, 3). Vector B =zj 6pmk6)dxf* *zp t hjtj5xt,i;0oth* ;q*j f (3, 0). Vector C = A + B . What is the magnitude of C ?x o*5x;j)z66;mt ih ptj*pfd*kt,fz jhj0qt*

  A car travels 20 km West, then 20 km South. What is the magnitude of i 1e 3s3jef2ivybyb6:k0sr2w sts displaceme 6 s3s ys2b03y:wb2kjei 1refvnt?

  Three vectors, expressed in Cartesian coordinates, me) uabd)h.tlvu,9af1k 8zv 5.rcx 4gare
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 c ;3dk 93ne3l3 dyqpsyeoordinates, 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.w:,yf gfvbp9r.w.ns e +ewf000) and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - B fpw,.efvgb 90r + f.w se0y:nw?

  A runner runs halfway around a cir3(h 20mhz:anc8 eaftv hm60jrcular path of radius 10 m. What is the displacement of the jogaa:80 znm h e2m60jf3rcvt (hhger?

  Two forces are acting on an object as shown in Fig. below. What is theibm2z.lf1:fxx2ir 3y9n , u hm magnitude of the rx2 mzn1h,fi2y fb:umi 9rx3.lesultant force?

  Two forces are acting on an object as shown in Fig. below. Whdtkav3x qk.s a824:wrat is the direction of thesq 4kw 3ra:.2dxvk t8a resultant force?

  Vector A is 5.8 cm long and points along the positive x axis. z se0q5i 25wqcydrt 03Vector B is 6.9 cm long and point2qet zqics0055 dyw3rs at $+54^{\circ}$ 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 58 cm long and points atrdh;up7w phn8 wc hg b.40g.fb0dx e5) $30^{\circ}$ above the positive x axis. Vector B is 21 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 zsxis51lo6lk056 c nzku ;o7l with an initial speed of 17 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from t7ulok1ns;z s5x6zcl6 05o k ilhe top of the cliff to the bottom to be 3.1 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 16 m/s, frt4:jymdfmk.fv,b . + t :t(ipqom a bridge. It falls 29 m to the water below. How far does the rock travel horizontally before strik:(f.kpdt4ttfy j,+mbq :.ivming the water?

  A ball thrown horizontally from a pointleu89)+lb, e fc6cv tmkh5 sv) 22 m above the ground, strikes the ground after traveling horizontally a distance ofvu b 9 sve)eht+clm,lf68c5)k 24 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump withwuaaeu(6+sf.gdn 6j6( v5 dk q a speed of 12 m/s at an angle ou n d.av6k56uj(gw(6fq edsa+f $20^{\circ}$ 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 wk 65g ulw64ek0ww9gzvith a speed of 9 m/s at an angle of lwu5 g96vw0k4gwek6z $25^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initbhv+rx 0)):jfa a jhieu3i5 -eial velocity of 27.3 m/s at an angle of $43.5^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 47a9(mt x ;y/ungt0.*+ofbqy(b+1su hmhq f,tt.0 m/s at an angle of $25.1^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an anglelhl)c zn es: .rgv-p4: 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 7ush,by -z:ishorizontally at 18.4 $m/s$ from the roof of a building 34.9 $m$ 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 39.3 m/s a*-q3; g5 pucxaico;l min*3n jt an angm3*n q53ijl xp;; a *og-ccinule of $44.5^{\circ}$ 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 4omg)mnw1r 1sbt ch8.0ql u*) t.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 it would take you to finish would be og1l.csqun*h8 mt) w1t)0 bmr

  A plane has an air s1h -,sx hkdy jsw7e(+mpeed of 200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed rd hw,-j(1me x+hs7 ykselative to the ground is

  A plane is flying du1 wsk9ed7nn 6b: rhpa3e South ($270^{\circ}$) 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 speepa lei 8v05,yy:i1h8hlrh. 8t2bbape d of 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 horizl f h:r3dc1dts1r0xkk ,6u. amontally fires a projectile with speed 50.0 m/s dhf.1 kx6r, kmcr s:3l1 t0duain 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 with nro :x,l q,vxw3wfx4;a current of 6.0 m/s. What is the speed of the box,3qfx :4wx ovrl ;w,nat as it crosses the river?

  The driver of a motorboat that can move at 16 m/s h1qzw 326b8m xdhl7nxin still water wishes to travel directly across a river 1.2 km wide in 2 hmhq18wxl3x 7b dnz6which the current flows at 3.7 m/s. How long will it take to cross the river?

  The driver of a motorboat that m1*pzsdb-n; g can move at 10 m/s in still water wishes to travel directly across a narrow strait in whiz;ms 1dp*g n-bch 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+4pz 2 wsz.psf 200 m wide reaches the opposite bank in 6 min 40 s. She is swept dozf pw ps.+24szwnstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches thq. j;:ids )vv)y4 +yicm5 fnvte opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed oc4dnm)t.vqys5) vj; + :ifiv yf the current?

  A boat, whose speed in still water is 1.76 m/s, must aim upstream at an ay6 j/9gmpp s.cngle of.m9gscj/yp6 p $27.2^{\circ}$ (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)  $m/s$