Which one of the following is an example of a vector quarwqx++wk- 7 fantity?

  Which of the following operations will nooxtz68iv5dy 8 -t nzb5x7isi*t change a vector?

  Which of the following is an accurate st pc;ryy.d (xotxrxxj+7 .kj(,atement?

  The resultant of two vectors is the smallest when thljftsnibz n( w 9s.2+4vyem(, e angle between them is

  Two displacement vector zrk3;0wm sz:oi ao7 mrdx1;ckdu y7))s have magnitudes of 5.0 m and 7.0 m, respectively. When these two vectors a);doz d k koc;w7a :7xu0sm1irm y3)rzre added, the magnitude of the sum

  Two vectors, of magnitude51s js/bpc+f b(q mbj)s 20 and 50, are added. Which one of the following is a possible answer for the magnitude of the rep q/(bb1c+fmsb)j 5s jsultant?

  Three forces, each having a magnitude of 30 N, pull on an s(y wcr6rae:kp.: . 2uy:,mgzzm5mf cobject in directions that are zea(m:2mz.w6,cyf yg.ru:k: prm s5 c $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vect)5hk .onzfi f:w2(txfor is

  Ignoring air resistance, the horizontal component of a projectile's veln1md6ukyux oox-0 czj/; c(b8 ocity

  A ball is thrown with a velocaga6aa)6 an5p*6c9auy*ir g n ity 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 horizontal component of a projectile's accels 6.qwk(zrsyy3(wtv(0 ja ay;eration(6y ajs v3wwta 0.qyky(;s(zr

  A soccer ball is kicq/kjbgp yu,kf e,m888d ok(o,ked with 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 vector of an object is directq5*p-i (nn 3evcygo4 ued anti-parallel to the velociteuiy-vo5c4*p gq (3 nny vector,

  If the acceleration of an object is always directed perpendicular to its 8 *y a+5(mhq mk3di:fqddpvl, velocity,d8y ,3pmi ldv(mk+a qhfq:d5*

  At what angle should a water-gun be aimed in order for the water to lantgny6 zcw43 g1d with the greatest horizontg 4wcg 3y6tn1zal range?

  An Olympic athlete throws a javelin at fo)(l1knn lh:op im ,4bl d,8ndl*j x-abur different angles above the horizontal, each with the l,bn p) xakh*m(1nll -:d ,inj4lbd8o 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 -z9. b9,i9owecton mpwith twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) woueim- z9 b9,ow9contp.ld be

  A ball is thrown at an original speed ovb+i;tg n* :s 4gk6dfr g7ard/f 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,,w v.bi;gj-l(1ev2 upe4l ks a-u0rj m how does its speed compare to its initial speei;a v-ujmwke42l-jr(bv s0l .p, 1 gued?

  A stone is thrown horizontally from do;0d7qvab nkls bk7r),0 vsp,jy-.oor )cv,the top of a tower at the same instant a ball is dropped vertically. Which object is traveli,yror-)bqbvs dka;ovs7 pd0l o ), vjc7.,nk0ng faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant thw /:s/9oop+acez.3tr l9qsa second bullet is dropped from the same heigc9/t.9 q:ao/zesw orlt3+hs pht. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a spei9/jbwjmj- g3 -zd) ided of 68.8 m/s and at an elevation of 279 m drops a package. 3.7 seconds lajd/ijd9-zj-w3bgm )i ter 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 sechc+:d6l lf (vwond package is dropped. Neglecting air resf+:(dhc v wll6istance, the distance between the falling packages will

  A pilot drops a bomb fromeq73o 7 zli(j w6dmfc0 a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane will67l7ewcmi( 0 oqzdfj 3

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. If f8 /vyth8o snlg0kg68you hit a baseball on the Moon with the same effort (and/t0gk68vl 8s8ohgy fn 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 relativcpmz, o*i 4)zee to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your o)* izz4pc,mecar to the other car is

  You are trying to cross a river that flows due south with a strong current. n n v6c3/b5m-rbq2uj v You start out/2vnn-b vm5 bq3c6urj in 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 3f,zci /(m je: ast,kh30 km/h in still water. How much time will it take you t3, tikj/h:mf,sae ( zco move 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. Th96 ,u7/kutf 2 drwo5wt+ltzqke y comp 2+uor u6twdl,zk7 tk5wq9f /tonent of A is

  If a ball is thrown with a velocity of 25 m/s atna2oa(l bz5 3a5srmn* 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 n* j,yc ),d.-09 zhzhx-zrn1n pkgcvde orth of east and you end up 2.0 km north and several kilometers east. How marz--cy cvkg),0n1jph ndd x.z,9 zhe*ny degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x 1aujblui:j7ez c53kq1,pn: x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis must :eikjac1xpq nljbu :u ,7z1 53be

  A 400-m tall tower casts a 600-m long shadow ++/ cxax5wwvgee .6noover a level ground. At what angle is the Sun elevated above the horizae.wo n56gec xv/+x w+on?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivell4 d1(r/srrtso/id ) py. What are the components of the sum of these 1rrrt(s/os/pdi 4l) dtwo vectors?

  Two vectors A and i u8m /h8nucwuqat, 8tg-eg41iqcz+:B have components (0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two ve gmiz4ht /cceg-i 8q,q8uuw1 nua8t :+ctors?

  Vector A = (1, 3). Vect:4+o/d-lbb mj bo-h hoor B = (3, 0). Vector C = A + B . What is the magnitude h-do h+bol :mo -/bbj4of C ?

  A car travels 20 km West: x ll: +ve vj 32i)6wya.bmk;*bsunit, then 20 km South. What is the magnitude of its displacementw 3+neu ;y as mv:l*tlv:ki2i.6bjxb) ?

  Three vectors, expressed in Cqrnk)r*n y36 qartesian coordinates, 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, ar5a)v *+tf 6sy;l r3fhd1uf pzje
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 magnitowr9i1k -nr9l k5(wr aude of vector C = A -n ol -a ik1rr(95r9wwk B ?

  A runner runs halfway around a circular path of radius 10 m. What is the d ger8l/ p98bxsisplap88s b9rgxe/lcement of the jogger?

  Two forces are acting on an object as shown in Fig.v66.pcecnve l .njgd2/w/1q r y4fy9 z below. What is the magnitude of the resultant fordgj /w/p4nf l6.e2 rczcn916.vy qve yce?

  Two forces are actin,o iwj)yx hm37g on an object as shown in Fig. below. What is the direction of the resultant forcxh)37jy, i omwe?

  Vector A is 5.0 cm long and points along the positive x axis. Vect xkly/j9snahdga 0q 3bn66b8 xxab9 /wl*3ma0or B is 6.5 cm3/n66xn jdsa9/yahbx 9a gx8b0mw b lq*03akl long and points at $+55^{\circ}$ 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 75 cm long and pointugfc,dp 4q 93ijblt4 :s at $30^{\circ}$ above the positive x axis. Vector B is 18 cm long
and points along the negative x axis. Vector C is 24 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 26 m/s from the 2 ohncy4cao.m lnv(2 /edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.9 s. anm yo/ 2n 2.l4co(vchWhat is the height of the cliff?

  A girl throws a rock horizontally, with uu s,hz su72w6a velocity of 12 m/s, from a bridge. It falls 27 m to the water below. Hosuu,6 uh w2sz7w far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 19 m abov x*tmk8m5xt8+ ov oph.e the ground, strikes the ground after traveling horizontally8+ 8photmo 5t*mkvx. x a distance of 17 m. With what speed was it thrown?

  A jumper in the long-jump goes into the liu niw.wfe)6tzw,o *6yfg2) jump with a speed of 12 m/s at an angle oiitn goe,z*f66 w )y2wwl)uf. 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 with a speed of 14 m/s at an angle mwbx1)y0olx 0ma.w/ gofmw10 bg)/0a ylmow.x x $30^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 5c1r6 yej:npi ym,xk33 r;t ui11.7 m/s at an angle of $24.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an a1 xuzi wni6q23)a f1rinitial velocity of 51.8 m/s at an angle of $33.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ang +.ktr ,hbxbp7le 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 horizontalv//6fwyu7h ei57 aqbmly at 21.3 $m/s$ from the roof of a building 69.3 $m$ 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 initialj5rubm*u2 z/s speed of 54.2 m/s at an bu2m rj5u*sz /angle of $47.1^{\circ}$ 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),sptwsv/p 2v/mxul7;* you can run 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 your speed by 2.0 m/s, the time it would take you to finiswm27u;p*vx svl /p/sth would be

  A plane has an air speed of 200 m/s due North, and is in a wind9dx n cg utnxz)-dg)aop)w8- r5dq*i 6 of 50.0 m/s to the West. The plane's speed relative to the grounqc)pgxod )ad59w td -rn)i- z6u8ng*x d is

  A plane is flying due Sofa+lj74 pmvw.uth ($270^{\circ}$) 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 spe 9k7+u-kdpzy n4rebu)ed 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 horizontally fires a projed,2*-zj(m feait xg 33f5ow.9 wdvnoectile with speed 50.0 m/s in gnzwv2.x3 ,j *a-e3odw5 (ifm9d etofa 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 direct* emhf)nbhpc6++xf5 fed across a river with a current of 6.0 m/s. What is the speed of the+bch m5e)*p+ 6fnx fhf boat as it crosses the river?

  The driver of a motorboat thatuybup4 -b1j8,7gnazg can move at 15 m/s in still water wishes to travel directly across a river 2.0 km wide in which the current flows at 4.4 m/s. How l 1abuynjb- zg,u 78gp4ong will it take to cross the river?

  The driver of a motorboat that cynxk 0j3db5qu,o2e;a an 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 should th;jqe 3nux0ay d,k2b 5oe driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the opposite b:+t) lxr azx v)s;:x rb+d/+abomdw7 fank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still wbvwf) /d :b7+txl:rxaad);s+ormxz +ater?

  A swimmer heading directly across a river 200 m wide reache(+:xx5yvj4do jk: gy7yf(ow f s the opposite bank i( d7oxo y+kvj4:jyg 5y(xfw f:n 6 min 40 s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still8g 2wd7rm6bdt;c+ahe water is 2.14 m/s, must aim upstream at an angle ofr m6eacd;w+ 87bdhgt2 $18.7^{\circ}$ (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)  $m/s$