Which one of the followina w7be+*/,vtsi9atc 8apa a-dg is an example of a vector quantity?

  Which of the followinnbt0ggif, m9 y5.2vcwum t8;e g operations will not change a vector?

  Which of the following a/rm+fgh:b (g2 hne3g is an accurate statement?

  The resultant of two vectors is the smallest when thekf mo-. bzj1)p angle between them is

  Two displacement vectors have magnitudes of 5.0 m jy 9 nqm:u+zxe(zzl5/ and 7.0 m, respectively. When these two vectors are added( je59 zmzl x+:zuy/nq, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50,bg5exd53 tpo r4wqje yvb(n.) 7g q5,c are added. Which one of the following is a possible answer for the magnitudygbr be)4o7 3,(tndq.v jw5p5xgec5qe of the resultant?

  Three forces, each havi oo5j0n65hc2 wjt0j wi e h6roui3tnsf. e467nng a magnitude of 30 N, pull on an object in directions that 0w o36n iojj2t oi7e4s hrc56tnh.we6fnuj5 0are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, thg(ut1vn;f hd a+0gl0my*nu3k e unknown vector is

  Ignoring air resistance, the horizontal component of a projectile'-8gp2 jld rk6lhuy yx ldp47)5s velocity

  A ball is thrown with a vzk:bx/6nb uix0r a(x 9elocity 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 ouw v-kf : 7ns,cqio,8* wks+jzn squ8,f a projectile's accelerations w -n sw,*:8fsuqki z7v8ckujq,+, on

  A soccer ball is kicked with a velocity of 25 m/s at an angle of/v zt us26 5yuf 1whg7fyg)vr7u(2hh k $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vup8a 6k-n zq9), c4ah bdne6ziector of an object is directed anti-parallel to the velocity)9bz8 pq64ki6zcnn -h eau da, vector,

  If the acceleration of an object is always directed perpendicular to its2w21zd 6kqbqky8z )iv velocityq )wz6qk ivb 1ky8z2d2,

  At what angle should a water-gun be aimed in order fo ;6hi:xlyr dx. 7y5dhpr the water to land with the greatest horiz5hy dxih;yxp.d: 6l7rontal range?

  An Olympic athlete throl bnz . cqgqbnnf-e+)0x:c m/kcl +40wws a javelin at four different angles above the horizontal, each with the same spenlcqzx/ k+q0wc n gc4e)-.b:l0n+m bfed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the seca grs;in,;:+w)k s suk*h tr,mond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your:rs* +m;th ,iwr ,u;)gk ssnak first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an a+* v; qsjvk.zxzcjge/cf)+3j ngle 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 . vdn 64 4cli5em4mqagits speed compare to its initial speecemi4.vgq4na m ld654 d?

  A stone is thrown horizontally from the t-ab z. qh*erohqoh0p;hj*if 00 e1 x1-nme2wsop of a tower at the same instant a ball is dropped vertically. Which object is traveling ; h0ees0w1inb1xph zq-o -eqf*jrh0o 2.h*am faster when it hits the level ground below?

  A bullet is fired horizontally, and at the h/m zh9gck(x5x(l is u9o6n6msame instant a second bullet is dropped from the same heig9hglhx 9s(nm m(/ c6ozx ki65uht. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.9 p*htvby k8 ooaz(un4ma31n71m/s and at an elevation of 179 m drops a pa1oy nb *(ankvtaoz3u7 h4m 18pckage. 3.0 seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped f jmurv+s4i6 gja-c .g5wk7/emrom a plane, and one second later a second package is dropped. Neglecting air resistance, the distanckgucg wr 7iame/j.4- js+6 mv5e between the falling packages will

  A pilot drops a bomb from a plane5i (fiv/ 2* 2y hb7dsotmueu4v flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane willm t/fio2 7bd5*huu4yi2e (vs v

  The acceleration of gravity on the Moon is only onivvxg1 )0f)oj e-sixth of that on Earth. If you hit a baseball on the Moon0 vgif)oj)vx1 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 stra - o9x2,4nckvbhgwb am; sw 31qu ierkf9eu:/3ight, level road and pass un/wbfevab3 ir-9 gq;31h: 9 ew2,u ok4xkmcs 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 z rn oe47tl*v.due south with a strong current. You start out in your motnrzo*t 4.ve l7orboat 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. Hob3m sq7,ex u:- e5ihpew much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/h?:3e,iepub75e m-hx sq

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axiag(mv)/o2+ zshr ff/cs. The y componena/ vs2)z(gcmfh /+f rot of A is

  If a ball is thrown with a vemvg(+ 1p srya8 q 6 ,s;0ubg(jop4khnqlocity 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 noo /sp:nm n(;east and you end up 2.0 km north and several kilometers east. How ma:;pns/mo non(ny degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s.h n*++ps-i/qr ith, xe The x component of its velocity is 8.00 m/s. The angle between the di/qhh+ip,e- sxn +t*ri rection of its motion and the x axis must be

  A 400-m tall tower cast6::f gnd-riikdna4 . hs a 600-m long shadow over a level ground. At what angle dr-k4: aihg6. :nifdnis the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivxadonoyb 8(5 )ely. What are the components of the sum ofx8ny odba( 5o) these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respb,. pv hq/p./h*vxfk i61kjqiectively. What is magnitude of thefh6ii.vkvpb// qq*k1 . ,xjph sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A wxqmkv6 n5m - oj63mel: o43zw+ B . What is the magnitude of C melvq6m 4z5:jwok3w63xno- m ?

  A car travels 20 km West, jvp 4:y3scj3frk. -1o gvy,qsthen 20 km South. What is the magnitude of its displa3fp.4jvcys3y :-r1 j qsvok,gcement?

  Three vectors, expressed int040 n yohm9sw Cartesian 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 coordinat-h rjiz )tgx5.: 1i7mnn;hqivc 4al:ves, 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) andn )so2qwa*ekm(vpdf 9x19 u6y vector B = (+3.0, -8.0), what is the magnitude of)1*s2ov ydnk u9xe9pfma (6qw vector C = A - B ?

  A runner runs halfway around a circular path 9*gc phe :t d.3aumim5of radius 10 m. What is the displach.:ed *pimt9gu35m acement of the jogger?

  Two forces are acting on an object as shown in Fig. bel)thb6:da be7g ;qay9zow. What is the magnitude 6ebhab )t9qa:7d;gy zof the resultant force?

  Two forces are acting on an object as shown in Fig. below. Wha9sz fp;t5jtj3( : xrnrt is the direction of the resultant forc9p;rtjzfxs:5t 3n rj(e?

  Vector A is 4.0 cm long and points along the posithbx*; z k4a*jld(3yit9p hc2g ive x axis. Vector B is 7.4 c *a3hdx4 2pj(kh9iczyt *lbg ;m long and points at $+49^{\circ}$ 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 87 cm long and p 0:eto 01cvgkpoints at $30^{\circ}$ above the positive x axis. Vector B is 22 cm long
and points along the negative x axis. Vector C is 26 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 28 m/s from the ed-bncstdn0 ugr 6q/l 3 :sub) h,dy3t6ige of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.6 s. What is the height of the clgdb 60l:ib s u qnsny,dt6-c3th/3)uriff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, fromd v*huom1chc0p-,( mp a bridge. It falls 30 m to the water below. How far does the rock travep vh(1 p,uhm -o*0cdcml horizontally before striking the water?

  A ball thrown horizontally from a point 28 m above the ground, spsen -s)zd 03:ug sei7trikes the ground after traveling horizontally a distance of 1s:s0ez7-s 3) pngeiud8 m. With what speed was it thrown?

  A jumper in the long-jump goes)kpm 8w.pwdk +:l 6rjq into the jump with a speed of 12 m/s at an angle of +8jl .m)w6pkq r d:wkp$20^{\circ}$ 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 11 m/s a4 c xus*s gkq*ila95j7t an angle oga lkix4*s j7s5*9cuq f $29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity 22-i:iu p*.fkq gpsogof 32.8 m/s at an angle of $20.9^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velxr 6b9 g2eci)rocity of 58.6 m/s at an angle of $39.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle +ttkl xtki a8cvyw19/q)t l2-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 horizontally at 0op0l d;x dd4v 24.9 $m/s$ from the roof of a building 53.8 $m$ 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 g b 1vhz;rp6.jbround level with an initial speed of 52.3 m/s at an angl ;z6hbbp1rv. je of $43.3^{\circ}$ 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 1500-mse: twx47l,wz race at a velocity of 4.0 m/s. If you ran the same race on a dae74l zt ws,wx:y 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 sb3sgc,36 zrvof 200 m/s due North, and is in a wind of 50.0 m/s to the West. The planz3 3,rv6 scsbge's speed relative to the ground is

  A plane is flying due Stb 6iykx o69u)outh ($270^{\circ}$) 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 wc hlvm6 6;pg1120 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 horizontpgxk ;k;:b.v,4 ytwpbally fires a projectile with speed 50.0 m/s in a fyb vb;;,.4tpp:w kxgkorward 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 iyf q2su vv k6-3 bv:zl+p xh,26kh4lb8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the6, : vbkh s3 uyp4i+kflxbv-lh 22z6vq boat as it crosses the river?

  The driver of a motorboatgo bi3,vnoc4 x1zbs9 f+s9 q2g that can move at 19 m/s in still water wishes to travel directly across a river 1.3 km wide in which the current flows at 4.2 m/s. How long will it take to cross the river9+gbxqb 21 3vfzsgs o, i9nc4o?

  The driver of a motorboat thi+5yqz8sl 8bsg,w 8 faat can move at 10 m/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.f5q izyl+88,sg8bswa 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 i5cdbcfyr)s2.rwq-* zya )/ao n 6 min 40 s. She is swept downstream 480 m. How fast canar5y )rcbc2q/ asz.fyw*o) d - she swim in still water?

  A swimmer heading directly across a river 200 m wide a 3knnq5 at5/w8hsa1n reaches the opposite bank in 6 min 35a ash qa5t/n8wnn1k40 s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in stddx( . 6o x, q1nfo7cl;wovdg1ill water is 1.67 m/s, must aim upstream at an angle ofo7 qd1g(lodw6oc.n, fxd; x1v $20.4^{\circ}$ (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)  $m/s$