Which one of the following is an example of a vr nz7t*9lce5qector quantity?

  Which of the following operations will not change a vectorw86cn 5mji *uo?

  Which of the following is u4vdkk+;a dsn byz3dj.9c pm2cx.7y3 an accurate statement?

  The resultant of two vectors is thuu t0 bstly+17st1h . h.otmx1e smallest when the angle between them is

  Two displacement vectors have magnitudesj8yej oe-ot54 of 5.0 m and 7.0 m, respectively. When these two vecte jo4 ejyo5t8-ors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one oy/+ jr,)eay4bl:jsjiax 5+gpf the following is a possible answer for th jjab:)+ r4g jais pleyy+,/5xe magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an awvg-pk 3;ac x+t5 p:oobject in directions that at cv:;5+owx3ppkga- are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vqel8-gsfi9g fzx 70u :tq 68cyector is

  Ignoring air resistance, the horizontal component of aus6,ild l7f t04oz9gxpq8 0 ph projectile's velocity

  A ball is thrown with a velocitf1x:i, 1xlyk i0:jfjw*xu:q p+v(uaz y 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 acce6nybcb ,3jt6 uqh1gcv;f3 xz4lerationf xq z1bbj h;4636tgc3uyv,cn

  A soccer ball is kicked with a velocity of 25 m/s at an anga:h-ax*hv4 n7q +2 gj3grv yoole 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 o+g mey+zyhsib7s23t5tps5 dgx f19 5zbject is directed anti-parallel to the velocity d+ g5ys bgzsse2ti +1y5txzf5 p7h3m9vector,

  If the acceleration of an object is always directwn,)7hwie9p7.xx(2vg0dyino f j :tfed perpendicular to its velocityw)e(ofdg,yp7wtn7 xx2i nf.vi0hj9: ,

  At what angle should a water-gun be aimed in order for the wa; 6t(ztnycnq5br: a nm8n7+pkter to land with the greatest horin(+pt ;y7 :68nctzmqnbkran 5zontal range?

  An Olympic athlete throws o81c(e lnihh;hb6m w- a javelin at four different angles above the horizontal, each with the samhlh;ni1mbw(-8 c 6o ehe 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 bqj49 hy8r;mg8f4h0g6j s 7i qtpr1aa(h+o tytall leaves your hand with twice the velocity it had on your first throw, itshsm1h;fg+rp9g4q ja4ty8iy( 7h tt086 ajorq horizontal range R (compared to your first serve) would be

  A ball is thrown at an origing;y3q e u7m -e(fnxw:dal speed of 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 (fy t7uj,w ;g m .um,egae;a6gattempt reaches its maximum height, how does its speed compare to its initialwmeg yagm uj6e(,f.7 ,a;u;tg speed?

  A stone is thrown horizontally from the top of a tower at the same instasb ci:k +/ s,9irey,teo/bqr;nt a ball is bs ,bier:oy+qksi/9e;,c/ t r dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizonta iymia2n*4 khk(mj6 2clly, and at the same instant a second bullet is dropped from the same heighyki(2jinm46ca2m* kht. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 59.3 m/s and at an elevation of 243 m f(qtmwhw7ab ) v9r52ndrops a package. 6.1 secondht 5an(qf v)729rwmwb s later 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 second:a (ya ou7k7*mtlpm .isi.9v bf9x ad7 package is dropped. Neglecting at9kf. s(.mbd i u7l7 oy9i:7v*xapmaair resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane fl0s-juu*vnx)r -oln; qbf/ i-pb b7,t aying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground 0 vubj7so f*lbu)tn ,ra-q-;n /i- pxbthe horizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that on Earth. vbe24 - v jgqo9cmj-g. If you hit a baseball on the Moon with the sa.qvvbog4cg92-m j-e jme 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 relc 36l n3*om l7hnl uj/gxie2yc 1a0zm6ative to a straight, level road and pass a car traveling at 45 mi/hy3h nl2n0l1x66lj* e/m3ca7 mgziu oc. 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 currezreuill83 40znt. You start out in your motorboat on the east bank desiring to reach the werliu e 3z0z84lst bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. zv u uo f(yl4/p,mc(psg 3gn)8 How much time will it take you to move 12 km downstream, in a river flowing at 6.0 km/h4l(f (m,8)p /v pz3no uuscggy?

  Vector A has magnitude 8pa ;hv1(8cdz gtsg 47s.0 m at an angle of 30 degrees below the +x axis. The y component of A4hgs( vzdtc; 7psa1g8 is

  If a ball is thrown with a velocity of 25 m/s at .mcg0p lo 94b8yf/ bzx, 9i6uojzkt0fan 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 and ypgu*9 y a xf93bb3i5 sw.m5zssou end up 2.0 km north and several kilome 35*s9mss 3 yf.xb9 piu5zgbwaters east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. j.: y7-mz utbi2 1d0xqtv/ecwThe x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis m tv1- m.q2c :z/ijd0wtub7ex yust be

  A 400-m tall tower casts a 600-m long sha2ihuvr2lj 9jq6a e odq+g 8;;c1ce4 uidow over a level ground. At what angle is the Sun elevated above the horizon? 1oj2 egie4 i6r8v+jhu9;u c;acl2dqq

  Two vectors A and B have components (0, 1) and (-1, 3), respectiv0r/xtrn oq+ rf6kge.ygwz191 ely. What are the r /tf0gq9ko rr1n gzwyx6.1e +components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (etf/e, cb-q;z-1, 3), respectively. What is magni,-be/e ;cfzq ttude of the sum of these two vectors?

  Vector A = (1, 3). Vector B9vy;dof w4 2zx = (3, 0). Vector C = A + B . What is the magnitud9 zwo vy2x;4dfe of C ?

  A car travels 20 km West, then 20 km South. What is thel, w lpsl;me)dd44:rp magnitude of its displacemmrp4e4w dl,;ps) ld:lent?

  Three vectors, expresp ns 1e9b-u2yvsed in 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 coordina63hx imf alk jba2js98)2iq7h tes, 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) and vector B =cui0d.;krf n)d lx 81q (+3.0, -8.0), what is the magnitude of vecto)ddcr. ;f8xi unq1 k0lr C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. +as s,j:+/v-gdnovcy What is the displacemenv o,+jac:-s d gny+sv/t of the jogger?

  Two forces are acting on an object as shown in Fig. g;x + .c,dihcdbelow. What is the magnitude;c icg.hxdd+ , of the resultant force?

  Two forces are acting on 0+p osk.lv6z fan object as shown in Fig. below. What is the direction of kl+6zv ps.of0the resultant force?

  Vector A is 4.8 cm long and points along the posit2lmwx 06ft xi(ive x axis. Vector B is 9.4 cm long and p2xmt0( wlxf6i oints at $+39^{\circ}$ 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 84 cm long andypiys 8d248 nh points at $30^{\circ}$ above the positive x axis. Vector B is 29 cm long
and points along the negative x axis. Vector C is 49 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 1tf(a ik+ac89 )zkq dlan initial speed of 11 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time 1c(8 k 9kiafat dlqz+)from the 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 9 m/s, from a bridge. q xsr0sxd8aibnc31t-qd ,21 o It falls 14 m to the water below. How far does the rock travel horizontally before striking the watc 28qx x,n03abi-rdd 1 sq1tsoer?

  A ball thrown horizontally from a point 25 m above the ground, strikextgwg pyy/ jtofmzv2*:,g0ys-.u:6 ws the ground aftergwu 2s.:*/ yt:ojxy-wfp g6,g tyzv0m traveling horizontally a distance of 23 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at au*o b22bjzba+:sb e9jn angle b *bsubajbz92+e:jo2 of $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump jx*v8 ;qqr1zoox zm3*goes into the jump with a speed of 10 m/s at an angle *zvjq ;z qo1*xx3rmo8of $24^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with /lsv; ki0 lbq.an initial velocity of 56.6 m/s at an angle of $31.1^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initialewgy ,mm s)2ku77h-r p velocity of 45.3 m/s at an angle of $21.3^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ooyr);: 7kp2ibvjii(xa 2z.+x; islw 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 horizontally at ricv/m .n(c 7t26.0 $m/s$ from the roof of a building 46.8 $m$ 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 ground level with an initiaebif q3 hl;.d(l speed of 60.6 m/s at an anbd;ehl( .qf i3gle of $45.1^{\circ}$ 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),lwg345 b in.g 32vwulo 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 w3g4nb lo.gvil 32wu 5a 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 mu+- jo4t9 +mv7ji rwhm/s due North, and is in a wind of 50.0 m/s to the West. The plane'sj 4+rv wjom+- hu9itm7 speed relative to the ground is

  A plane is flying due South k+7v/i m cq0kv($270^{\circ}$) 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 speepu ++:kp zlt-ud 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 projectile with speed 50.0kc- c(u(z-.m9w an2k)z krheh m/s h(nae-rw. mk-(h29zc) kuc kz in 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 ajdzf8g 3x-a9u currxd38 u9 fg-azjent of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat tha+a; gdxzpe2f 8t can move at 17 m/s in still water wishes to travel directly across a river 0.9 km wide in which ;exf2dp8a z+g the current flows at 7.7 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in 1bs o-/oq 7mrlni nfy 13;wtl/still water wishes to travel directly across a narrow strait in which yoiln/ -s3;rnm17ot lfb1q/wthe current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly an8s;ar tu(rc ,f6; cdxezq) 8zcross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she ; (zsqc 6cra;,)fzrt 8n8uxdeswim in still water?

  A swimmer heading directly acrost* yvik(i,ij4 s a river 200 m wide reaches the opposite bank in 6 min 40 *,tyi i4 vj(iks. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.88 m/s, must *53 b fvwd 0lkmqax8t7aim upstream at an angle ofmtf7vdw5b la8*30xkq $26.7^{\circ}$ (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)  $m/s$