Which one of the following is an example of a vect*no .ry56 /l upfn5dkdn4jq9qpg0 m, for quantity?

  Which of the following operations will not change a vector?u4.y-rppw zbt(e0x, c

  Which of the following ar1 5xkw20wb rp7a y6si4wd;zot;.yd is an accurate statement?

  The resultant of two vectors is t+h k edcg0cx6.he smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, resp rmlodoydi9;y4w/kb9* mlw (9ectively. When these two vectors are added, the magnitude(99odw;odril l /mby4mw* 9ky of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the followm/iu 1(dq0 c om,ujo0aing is a possible answer for the magni(q/,0joamm ui 0ou1cd tude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directionsrwvx hmipaa0 )fe+*3te+) ng2m4w uecycb9 ;* that arv;b c )y2a*p 4ee0h)xn3rfim++w*m wage9utce $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown w 5 h,8m65q 48mfimlxwg4zmxp, the unknown vector is

  Ignoring air resistance, the hw+t l4:vf r2cvw 2 kcph1k*tj2orizontal component of a projectile's velocity

  A ball is thrown with a velocity4 t olp8cqr/u96lp bn4 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 5;lbhw6 s/+8gpz taf8e:vjzyprojectile's acceleration; tafp8 6:lzzve 8g5b/jw hys+

  A soccer ball is kicked with a velocity of 25 m/kozc) bw4(k(hs 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 isyjrb14f- ; yrcp a:ir1 directed anti-parallel to the velocity vectop-b:f j rr41acyy1i;rr,

  If the acceleration of an object is always directed perow( dguab( (1ypendicular to its velocit 1uy((ga do(wby,

  At what angle should a water-gun be aim- z leyzh(,9nved in order for the water to land with the greatest horizony(9,lvnez z -htal range?

  An Olympic athlete throws a javelin at four (7mfx bn+v rmsk o2+bv+zj.e0different angles above the horizontal, eachb mmke (vo.s bxrn+ z+0jf2+7v 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 bau 2n(vujabmq*sn -+nq3b 3 :moll for the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horiubm3n 3*+n (sqab-n uoqvj: 2mzontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at x 2y ,3)sdehk6 kvuxyr;+ ;ftuan 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 maxim35zk-)gigs mdum height, how does its speed c3 mgd-zg k5)isompare to its initial speed?

  A stone is thrown horizontallyq xljixxi8 1*hn,lk+8 from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the len1xl +iik8 jxx lq8h*,vel ground below?

  A bullet is fired horizontally, and at the same insta 8e90n bh,xohdnt a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of thx9dneo 0 hh8b,e two bullets.

  A plane flying horizontally at a speed of sxtt 0hxy-bu-v3x*zb 8 w5.oz 89.5 m/s and at an elevation of 174 m drops a package. 4.7 seconds later it drops a second package. How far apart will the two packages land on the gr*bxb8zzth 5 sv-t.x0-yw3x uoound?

  A package of supplies is dropped from a plane, and one second later a secohi13fnf pwu: :-ct;ixnd package is dropped. Neglecting air resistance, the distance between the falliu ::-th3 ;i1pffxwc inng packages will

  A pilot drops a bomb from a plane flyinyajk/l25zwv.-(g * mzem im)n g horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground tha mz5wv/ ey)2j zl-*. n(kmmgie horizontal location of the plane will

  The acceleration of gravity on the Moon is only one- cnj6cf h+t35:de ,plssixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, the l :jches 56fd,cpn3t+ ball would land

  You are traveling at 55 mi/h in the +x axis relative a jr v 1/6byfs65oj9jlhxfz,ly 9 o58mto a straight, level road and pass a caj/avbjr5hlf1s 98oj z9m ,xfy6o 6l5y r traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a rivecq)5xayhw/ c4lu k 08yldw/0dr that flows due south with a strong current. You start out in your motorboat on the east bank desiring to rec8k) chay/0ydqdu4l wxl0 5/wach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 fdzg*. vdu fv+4go5,jkm/h in still water. How much time will it take you to move 12 km downfvdg d+5u* v.,f4jzog stream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 i ,if4m6ukr, sk /tbez(yz1x5m at an angle of 30 degrees below the +x axis. The y component of ft,(4kzz6 ix,y k/rse m51biu A is

  If a ball is thrown with a vove5w1m/)fw t, wq0g uelocity 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 ikp0nnkg5dz )f .mlu+1+wdw : a direction north of east and you end up 2.0 km north and several kilometers east. Hdgk+: +l f05pz n i)wukw.dn1mow many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The wk-z )run:7- t s/rbedx component of its velocity is 8.00 m/s. The angle between the direction of itsk dn-rzrw):7-s/te bu motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. /hsazw4 31 h f(o*uj-w/2y 8esagdkkvAt what angle is the Sun elevated above the horidk a uf zya2sko*h 84we(w -gshj3/v1/zon?

  Two vectors A and B have componentsbztc z 0h-6q uyh7 01;xqcvgp) (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vectors?6z;x0cqh)g cytv0zu 71 -hpbq

  Two vectors A and B have component6+zdnqq6,e)c,tcb u 7aln:ius (0, 1) and (-1, 3), respectively. What is magnitudl,dezb c6q6:) cinaunu7 t+,q e of the sum of these two vectors?

  Vector A = (1, 3). Vectocca +,, f1naw: clrg7vr B = (3, 0). Vector C = A + B . What is the magnitude oagl,f +avcc1n:r cw 7,f C ?

  A car travels 20 km West, then 20 km South. What 9-;qezb 97c s0nhzkft is the magnitude of its displacemenc79n-q;febt9zh 0 zsk t?

  Three vectors, expressed in Cartesian coordina(l. j/j1t l :x7j*gxz p+mpzrxtes, 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 Caq3l1 x5n- m cbl9bq.uhrtesian 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, -4.0) and vector B = (+3.0, -8.0), 39ux75bcp* x l bnbd+ ovee/c9what is the magnitude of vectoxeb7eocp+xc *b5u/ d9l n9vb3r C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is the displmk4li(-fbe o7 acement e7(bflo4m -ik of the jogger?

  Two forces are acting on an objec2d2 c*psk byz.g-x:edt as shown in Fig. below. What is the magnitude of the rp sgx2* bk :.dy-eczd2esultant force?

  Two forces are acting on an object as shown in Fig. below. What is the directiov c/;o24d6jcq rdx j 8sxt.v-kn of the resultant f8o rjcx -s4dv6 j/d .tvcxq;k2orce?

  Vector A is 5.5 cm long and poirl:u ks*hq8 /qnts along the positive x axis. Vector B is 9.7 cm long and points a h8: *q/kulsqrt $+51^{\circ}$ 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 90 cm long and poinc qkp,+0)o b2(yptikir:j6rots at $30^{\circ}$ above the positive x axis. Vector B is 15 cm long
and points along the negative x axis. Vector C is 34 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 21 m/s from the)gg7xt3t m /7xcdn a+3 2liaec edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.6 s. What is tcc na l2t /gg+ ta)7im337dxxehe height of the cliff?

  A girl throws a rock horizontally, with a ve5 ff3bd i4b;w.ze2 zdblocity of 16 m/s, from a bridge. It falls 18 m to the water belobfi ;z25 d. wbb4zfde3w. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 19 m above z 7z4 +j7xh.y;guoekcthe ground, strikes the ground after traveling horizontally a distance of 19 m. With what speed was itj. 4uegcxy z77 o+hkz; thrown?

  A jumper in the long-jump goes into the jump withndwdzz4ek /. * a speed of 12 m/s at an angle o*d ednzzw.4 /kf $20^{\circ}$ 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 at an ax0 /zahlt up jvhlda8:,39.mx ngle o8,d xauhj/tx m 9z.al vl:30hpf $22^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 54.3 m/s at an angle of -hf5t( druio. $19.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 33.2 m/s at /g4v d 45r,at yuvk:dd x xl7er4hw7b7an angle of $31.6^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is firedwnrml:vh+853 iqn(ta at an 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 horizonta5 5ekn:u,b vrklly at 18.8 $m/s$ from the roof of a building 32.8 $m$ 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 initial scob*t9jhjg vs:9dxn : (b)+gepeed of 55.7 m/s at an xo (net9 * g+c :jjvd):bsgb9hangle 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) v7y xd7gfh;cqu9),ne, you can run a 1500-m race at a velocity of 4.0 m/s. If you ran the same race on a day whd ;xc9fq nu7ev7,g)yhen 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 -gd6-u n8ktu5 v-urg3hobcr 9200 m/s due North, and is in a wind of 50.0 m/s to the West. The plane's speed relative to the8kuc- orbhn6359u ug-rv td-g ground is

  A plane is flying due South (h v1 ,209gsx8dpcj x yxf rm(qqd:29hv$270^{\circ}$) 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/h is4,tk57oxi*bkr tm /0zuu0cud* c( f sr 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 speedpg dm3fjv4av; wdr- +3 50.0 m/s in a forward direw+34;garfv-d3jm vpd ction $30.0^{\circ}$ 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 dirnt 213v fcyf.n1kgz6t ected across a river with a current of 6.0 m/s. What is the speed of the boat ast16y1.z2ktfng vfn3 c it crosses the river?

  The driver of a motorboat that can mo4;n(esipr ;dfy:p1d0n umc l3ve at 17 m/s in still water wishes to travel directly across a rie 4nd pcy;f:m3 0du(isn;r 1lpver 1.5 km wide in which the current flows at 3.7 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10f0 ru5e6q:y jui8qmy )5( foif m/s in still water wishes to travel directly across a narrow strait in which the current flowsq(5m0jieifuqy 8o )y: ff6r5u at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches ntefl0v4qw p q1 z:dy409r i2v2fjr *rthe opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still*jvenrv r rly9wd 42q201:iqpft 0 z4f water?

  A swimmer heading directly across a river 2000o4lxwe9x 7b fxy2t9h m wide reaches the opposite bank in 6 min 40 4h 7bxx90fey oxl tw92s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed il4 z,js3uqqs c7kjtk9v(,v7jn still water is 1.69 m/s, must aim upstream at an angle of v,j uk7s3t4 7l9kjv zs,q(cjq$27.8^{\circ}$ (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)  $m/s$