Which one of the following is an exap8a prefh5x+akpre3 2jp2 q h1-e7h (zmple of a vector quantity?

  Which of the following opejk7petp) (,wp wj *kss,z6x(qrations will not change a vector?

  Which of the following is an accurate statement?zh4ft dr t0u.u06-jf 9/mekoh

  The resultant of two vectors is the smallest when the anglelhk964 k w y5ssriqm9; between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectzdxmlc7z6g/vj h 5l +9ively. When these two vectorxlh 5zvg c+d6/lz97 jms are added, the magnitude of the sum

  Two vectors, of magnitunuokygq+-cka:c3hue5 r 8f1i/e ju2 ,des 20 and 50, are added. Which one of the following is a possible answer for the magnitude of gh38q uajk-c+: uo r1c2un5i /k,fyeethe resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directg zqb4/g(v wd/ions that /vdqbgg/ z (w4are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector x1jkel040 5l9qx; nt+kw fit wis

  Ignoring air resistance, the horizontal component of apk5 n w,q)b3krtut0;,gnl;bb projectile's velocity

  A ball is thrown with0a(i p (ikbb/vg 3) a9aaz1hpx a velocity 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,h+et* s wim2z4 the horizontal component of a projectile's acceleration4h2 i+zm* estw

  A soccer ball is kicked with a velocity of 25 m/s 8da:t krv:ubss+ yz 97,u8i1t6aq lr mat 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 er) :qt/y qhe8qqofaue.u570is directed anti-parallel to the velocito u yq0q)/fh7r.q:ee 5uta8 eqy vector,

  If the acceleration of an object is always directed perpendicular to it; bt.zwmjjbv 7+vygs rh9d1.3 s velocity b.+v71mh jj;3.wrz9dys tgvb ,

  At what angle should a water-gun be aimed in oys6*u(ntu c(f rder for the water to land with the greatest horiz6tf ( (y*scnuuontal range?

  An Olympic athlete throws a javelin at four different angles 0b:/0 i h6pvm4jz:(-zlkbbvu e ,rwxxabove the horizontal, x(pmlvb, b w4ke /hi0uz:b-j:vxz6 0r each 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 ball for the s5ko0f- r vqf;lecond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal;lkrvf0o- 5qf range R (compared to your first serve) would be

  A ball is thrown at an yd+axy6j8sp- 1s1) +v.yxw u*g uhd pvoriginal 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 attempt reaches its maximum heig(-io d-*++gfz*xhohh eh 1eozht, how does its speed +hhfohg i*(1 *o-e- + ehdzozxcompare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the ; lg ub-(s7coksame instant a ball is dropped verticallos(;lc7b g-uk y. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horix 5f-5u*ai lel.h64inrp f -ylzontally, and at the same instant a second bullet is droppx5n. ufi - 5ple lrl-hi4y*f6aed from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 105.7 m/s and att w8/h5hp t8lqo/ tww61gnog 4z,cbe/ an elevation of 195 m drops a package. 4.4 seconds later it drops a sectlq 8t1 pt5g/b,hg64newo z w/8/cowhond 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 a3id aadf ,d-h7-:k sosecond package is dropped. Neglecting :fd3s a--o7dkh,adia air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a cons 6c/ekv8:1t 6 idim zabot(/jrtant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane it:b/ rmt ac/e61vi6d z8(ko jwill

  The acceleration of gravity on the Moon is only one-eh6h r8r5qae) sixth of that on Earth. If you hit a5hra)ehr6 eq8 baseball on the Moon 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 r48 haa3x ln8ncelative to a straight, level road and pass a car traveling at 45 xh 8 aann48lc3mi/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 curn7yfcxr;:96bazz q5rp;xblu 8v x k :*rent. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorbox :69b:l;;fz5vucxzrq8n*a bk 7pxy rat

  Your motorboat can move vfz7v3zy3m txf01x 8dat 30 km/h in still water. How much time will it take you to move 12 km downstream, in a river flowing fvd0y 718tfx mvz xz33at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle ofjrgt k g)i79g6 30 degrees below the +x axis. The y compgj k6 ti7r9gg)onent of A is

  If a ball is thrown with ac+8k75xgxk2sh3i.lvg f +fgd 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 directionsehi08f ix ylf:8lw:kjr c zk):3m9o9 north of east and you end up 2.0 km north and several k c8):8 z93ymfxoil kk w0jries:f:h9l ilometers east. How many degrees north of east have you walked?

  A butterfly moves wijdjpf;d5ub-grdw ll7v+b l02+0 +gc ath a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion anddll7p g20-dv++bf +0crl5 gujbw;aj d the x axis must be

  A 400-m tall tower c2fnakhrqgp ,f9 4/ v3fasts a 600-m long shadow over a level ground. At what angle is the4npa r3,q9v2/kgf fh f Sun elevated above the horizon?

  Two vectors A and B havey lq27 n* o;69kbgm+hfu ha+ht components (0, 1) and (-1, 3), respectively. What are the components of the sum hgqon7ahmk lf+ ;u+9* tbh6y2 of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivelfbtr+g06fxso x h* z:3y. What is magnitf3*f+0tr: h xx osgbz6ude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is q; b tt(fq--p z3ngk/fthe magnitude of C ?ztb3(qtpg ; qnf--k/f

  A car travels 20 km West, then 20 km South. Wh-t;rc cy 9*y5b9vrxsmsl+7bdat is the magnitude of its displacement5;bbxc - +crsylv* tyr m9s79d?

  Three vectors, expressed in Cart6m2rpqt bxos 0c w9h u0x+q-mbs p,t98esian 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, expressebxvuy ,0eg tef2 i*u5. 6tv;uzd in Cartesian 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-,mbg5otjqiv (g:tk,lqn.50xsx 8h t.0), what is the magnitude of vect(v5t5n lhq jtt0 ix:s gq.m8-o,gk,xbor C = A - B ?

  A runner runs halfway around ayzr5x xkd-6o*8ton0g . 8bko l circular path of radius 10 m. What is the displacement oyz b .kn08r*6tgo odo-5xlxk8f the jogger?

  Two forces are acting on an object as 1*nqsu7xhi. w shown in Fig. below. What is the magnitude of ts h.q*7i1 xnuwhe resultant force?

  Two forces are acting on an object as shown in:zh 2c nrrcj 1*faed ob;s ib4hv1)v(- Fig. below. What is the direction o j;raic1db4- e1)ohcz vs n*b( fh:vr2f the resultant force?

  Vector A is 3.7 cm long and points along the positive x axis. Vecto2q6y)e cs46kid( d zk4gy xyc6r B is 9.6 cm long andyk(cy6 s2x y cke6g4z 6iddq4) 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 82 cm long and points a/x6 gtrpui4hc7b(+ vx t $30^{\circ}$ above the positive x axis. Vector B is 23 cm long
and points along the negative x axis. Vector C is 43 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 inix/ qzvla pp:4/hew7z ;tial speed of 27 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to thev4/hz/wpqe; p7lxz a: bottom to be 2.2 s. What is the height of the cliff?

  A girl throws a rock ksat /uhhz 6o73*yy e hu3:(mnhorizontally, with a velocity of 11 m/s, from a bridge. It falls 21 m to the water below. How far dthn 3myy*k(hh7uezoa /us:63oes the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 19 m above tc*7xk lr-u* bxhe ground, strikes the ground after traveling horizontally a distance of 16 m. With what speed was it thr *rbxclx k*7-uown?

  A jumper in the long-jump gx rj43s2oolcm xi.),goes into the jump with a speed of 12 m/s at an angle ofls,o4j o).cixx3 gm2r $20^{\circ}$ 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 aw) ua 7v,+10u7/q mu7 abemjok badgt5 speed of 14 m/s at an angle ojovbw d 7bu0 ,augqtm/eua5+1km)a 77 f $21^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initibucc v ;hz(b84al velocity of 36.5 m/s at an angle of $36.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 33.2 m/s at an avme,3e435enkg-d *ka p) hcrrngle of $10.5^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle;9;fmr db bn2d k.7uss 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 22.2f96i 2 omjjgq8 $m/s$ from the roof of a building 49.1 $m$ 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 q+pr0lrs:j, n an initial speed of 37.6 m/s at an ajn,0r+q:r lsp ngle of $45.9^{\circ}$ 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 ii/dw4oy)skhx,w-dqin*z 14 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 time4w/yowq ddn )*i ix-zi4k 1,sh it would take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/s 0clv8 5wg, .7pfs hsuuto the West. The plane's speed relativscwps8h g.v50f, uul7e to the ground is

  A plane is flying due S4jr (mjgvie y9:4 uzi-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 120 km/h iser;o-.pg uj-u td8+5n sko1ewe: r.sc 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 movinj8ro*xoc9vyk 2-s2 aag 200 m/s horizontally fires a projectile with speed 50.0 m/s in a kj 2ox*o8ars9a 2c -yvforward 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 rive-+lo-jam, jmfg 0f +,.fug atnr with a current of 6.0 m/s. What is the speed of the boat as it crossesu0mj,afjgt, a-fog.+ nf l-+m the river?

  The driver of a motorboat that can move at 9 m/s in still water wiut6drxjqrl *ebq;/rtv. a 2k)v28ig6shes to travel directly across a river 0.6 km wide in which the current flows at 7.6 m/s. How long will it take to croarr/dk qbj q26ruitx* 8v );.2g l6vtess the river?

  The driver of a motorboat that mv63fkoqw8x :agwp j- qb);b7 can 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 upstw:m38j v;7o)fx 6aq w-k bbqgpream should the driver head the boat?

  A swimmer heading directly ack76*ne y1om qwp;ar +qross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept do+wmq76*a ypoern k;q 1wnstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reacn 4 vnbn6w-jv7hes the opposite bank in 6 min 40 s. She is swept downstream 48b74nnv wjv -6n0 m. What is the speed of the current?

  A boat, whose speed in still water is 1.87 m/s, must aim upstream a- a,yqa+pz vl(n*,vblt an angle of q zbl+ yanvap,l-*v,( $18.6^{\circ}$ (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)  $m/s$