Which one of the following is an example of a vector quantityoownb7aw,y+;s ( ok.w 9zmx(c:doj2:po h3ds?

  Which of the following operations will not c ,0*z(57s; tgii czvej2/p 2taoqvt pohange a vector?

  Which of the following pl96+ia yjxzg9k(j .x is an accurate statement?

  The resultant of two vectors iss)vfx q 9kiu/3ff5hn, the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5./ pz9/xr) glnc0 m and 7.0 m, respectively. When these g/ np )rcx9z/ltwo vectors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added2yoo /oa ust;7. Which one of the following is a poso2 t u7oao;sy/sible answer for the magnitude of the resultant?

  Three forces, each having a m*j:dn3y;4 gvq u:gkjz agnitude of 30 N, pull on an object in directions that ngy:g ; u4qzk*jd3j:v are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector isd 67:u.: 0f zs8fo kubbuk(rad

  Ignoring air resistance, the horizontal component n 8yttlg0ry16hr tn+esxx7:*of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle o zosc.2vs+ nh6f $60^{\circ}$ 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 axw01tp4-vf4 q1iifv-a q 8ugql 8ku;l projectile's accelerationqp-ufq 0kl8gw14lvuii1q t f;-48vxa

  A soccer ball is kicked with a velocity of 25 m/s at an angw .xo.75d ;zwgd3ndr dle 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 directed antm4b0 b;i qw+ftzth *i:i-parallel to the velocity veciz4bt*hf0m ; :wt+b iqtor,

  If the acceleration of an objece coiidw*: -8-kq xy1vt is always directed perpendicular to its velocityc*vd: e- koix1i- q8wy,

  At what angle should a water-gun be aimed in order for the .t j6ijkb7 ebc9v3rivf*sf35 water to land with the greatest horizon6c7bev 5s39*f3ji i bkft.rvjtal range?

  An Olympic athlete throws a javelin at four diffel gce*: qgeq.:(51 pidg xp+rhdh 0n/drent angles above the horizontal, each with the same spede h gh.qp1l+*pqeirxcng:/d g:5d 0 (ed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the sech /(j yzll -;uuqj*ytxp3: b0j 8t3tikond time. If the ball leaves your hand with twice t-0t 8 zjhj3jlyupu :kqyl/b3*itt(x ;he velocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angh:dw u1p8 y;ryle 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 reachesd 3thyb7lq nw/ +bhk-; its maximum height, how does its spw+yh/;3dl nq7k hbt-beed compare to its initial speed?

  A stone is thrown horizontally from the toii6q-e (rc dg,/h9d9ryj 2co cp of a tower at the same instant a ball is dropped vertically. Which object is traveliyi69echid c o9-(2c, qj/gdrr ng faster when it hits the level ground below?

  A bullet is fired horizontally, and9b,x hyd wn+iv qp.e/6 at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of the two b6,xq /ew9npdi bh+.vy ullets.

  A plane flying horizontally at a speed of 69.4s-f 7/y*bpb gp m/s and at an elevation of 214 m drops a package. 4.2 seconds la f s-/bpp7y*gbter it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped f(l,uftuwu 8y :rom a plane, and one second later a second package is dropped. y u,u8 l(ut:wfNeglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally atb6.wib m jv53kcp);hi a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the 6j;kb.3pi b mi5vhcw)plane will

  The acceleration of gravity on the Moon is os 1jx/b1l**koyd m9ks nly one-sixth 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 Eys*j/kls1dm *x9k1b o arth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a strojod7)vqhpwhn072v, 2o4 t qjaight, level road and pass a car travedq7jjo) 2hwv0 o2t4,7hpnq v oling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due sou/a rf7hg5gic4 w-.f9.rlhbxj th with a strong current. You start out in your motoigxjr9fg 7rf h. a /4b.-wh5clrboat 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 a /y n gahivq-o7qk5ym*kgs* 60t 30 km/h in still water. How much time will it take you to mo *m0ygqqk5- kys*o6i h/n va7gve 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle 3ph9a4rsf j;6dh1fvfof 30 degrees below the +x axis. The y componentavshj r d416 fh;9ffp3 of A is

  If a ball is thrown with a velocity p 3oa+tss*f;f 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 east and yozzz h9ea2 ta x mi,:/m00fyof+u end up 2.0 km north and 0 azte2i9, az ofmz +hmf/xy0:several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 mkrkn nn gc,-bff ct550qiy+5g69kx6 b/s. The x component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x axis m6t9+ ,k-c056ykicnf gnr 5bnxbkf5gqust be

  A 400-m tall tower casts a 600-m long shadow over a level g )/9(vu+uwiqcbjjh ysc 8 /mj,/ r)m+iv e:umkround. At what angle is the Sun elevatkirm8 j 9)ye/cs:m+jwv (h/j uu cmv,+ub)/qied above the horizon?

  Two vectors A and B have components (0,ymjq+ay6)lqxv;.3 l en8 5*uqv)jyve 1) and (-1, 3), respectively. What are the component;qee5 v6 vj)yvna.+j lqx3 y yuq)lm*8s of the sum of these two vectors?

  Two vectors A and B have cov2ry655kw ;4zsz * u6lq /g umrlkjr0umponents (0, 1) and (-1, 3), respectively. What is ma0 k *v;jzzyr lsur5r 62klqw/ gum546ugnitude of the sum of these two vectors?

  Vector A = (1, 3). agu83n q:/ t2tv4e dznqch,( cVector B = (3, 0). Vector C = A + B . What is the magnitude o4tnq /gz:cv38atc(q h e 2dun,f C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its(nrkmgpv; au j4em .k+6 -pnd* displacemng numk6r+p. dv 4*jke -m;(paent?

  Three vectors, expressed in Cartesia /cc ot;o91d ffo7 ;0l)rydhzc-offf3n 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 Carte6lfa/jum2 u n/sian 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), what is the umt t/brc-j p3j:f qcdfv*c-:hvv8*1magnitude of rp b*vf3c-/hv u:tt *8v-c1fcjj qmd: vector C = A - B ?

  A runner runs halfway around a circular palvy.5z 8) gbilth of radius 10 m. What is the displacement of the jogge i5y8.v)l lbgzr?

  Two forces are acting on an object azoak3ny*.5x.r 7 n jtws shown in Fig. below. What is the magnitude of the resun .j7txo zr*w5n3 yak.ltant force?

  Two forces are acting on an object as shown in Fig. jmpo;2yp 5;tjbelow. What is the directio ;tjo;yj2 pm5pn of the resultant force?

  Vector A is 3.9 cm long and points along the positive*tw7p9vzt4 qz9 0vsfr x axis. Vector B is 6.0 cm long and points at zpt4rv7 wv tqz90 sf9*$+32^{\circ}$ 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 53 cm long and po zh,rp 3;q)uozints at $30^{\circ}$ above the positive x axis. Vector B is 22 cm long
and points along the negative x axis. Vector C is 20 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 horizontorsrim:nkwf y 6*4i 4:ally with an initial speed of 16 m/s from the edge of a cliff. A stop watch measures the stone's trajecs4rkn: o*i fy4 :wirm6tory time from the top of the cliff to the bottom to be 2.5 s. What is the height of the cliff?

  A girl throws a rock horizontally, witj1xy ;lf;dta1s*76;psf c wsnh a velocity of 11 m/s, from a bridge. It falls 20 m to the water below. How farlw1yx sftd1s* 6pasnf;; cj; 7 does the rock travel horizontally before striking the water?

  A ball thrown horizontally froi).o0l(m1z e9bhjny dm a point 22 m above the ground, strikes the ground after traveling horizontally a distance of 23 m. With what d0z()91mn.ey bi hlojspeed was it thrown?

  A jumper in the long-jump goes into the jump with ah+)bgdnru .bbe 58 w0d speed of 12 m/s at an angle ofn0 e)rb.5b8d bwgu+ hd $20^{\circ}$ 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 8 m/m3emt7r j6 jyex)c31ai/xd0ss at an angle ox7tyx/ 3 06) sraejjd 13mmceif $29^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched wit;x6h wg9did6rgqjdq z/6 wfm d-.-1xz h an initial velocity of 36.0 m/s at an angle of $11.7^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with4wxg/*awv ok1 an initial velocity of 42.8 m/s at an angle of $39.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at a sj978plq5ujz)8u7s kbyjfd -n 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 24.r(7sd, 5dx pmmpqmtil1z759apewz ; 7 0 $m/s$ from the roof of a building 49.2 $m$ 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 initia(ddy/-yzg r i(l speed of 49.8 m/s at an angle of g -ridzdyy(/($37.1^{\circ}$ 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), you can run a 1500-m race at a vel-x1h-m5fdcs focity 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 dsh1 -5mf-cfxyou 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 to tpo2zv stum( 05he West. The plane's speed relative to the gr(z0v mp2o u5tsound is

  A plane is flying due Srph -8ak;i3gb 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 is hea djd(vv+80z zxded $30.0^{\circ}$ 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 hori jpyv6z(w :3hdzontally fires a projectile with speed 50.0 m/s in a (j 6:vydp3zwhforward 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 wcya ygy/.8 9imnk7e 3 z*lc1wqater is 8.0 m/s, is directed across a river with a current of 6.0 m/s. W* .qy91g7w8nz ai3ye kc/ ylcmhat is the speed of the boat as it crosses the river?

  The driver of a motorboat that caqwfj*av j)g8a. p3vy;n move at 16 m/s in still water wishes to travel directly across a river 0.9 km wide in which the current flows at 6.0 m/s. How long will it take to crov 8v wgj)y;pqaa.fj*3 ss the river?

  The driver of a motorboat that can move at s4d2iqmoab )y/+yzu 6va r0;s10 m/s in still water wishes to travel directly across a narrow strait in y ; 6/idra0ua q4y +m)szvb2sowhich the current flows 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 rea1s/fn - j6(1zblh1ga jrs stwg:qm18f ches the opposite bank in 6 min 40 s. She is swept downstream 4h-gla(sj6 r1sgn8 jf z1b1s /q:ft1wm80 m. How fast can she swim in still water?

  A swimmer heading directly across a r a; bhyw+7wn0 gm sm1v5s+au(civer 200 m wide reaches the opposite bank in 6 min 40 s. She is s( g15vwsmbaa+ 0s+huy7cm;wn wept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.01 ma1m6d;vms5xf /s, must aim upstream at an angle of d;ms xvm 51fa6$29.9^{\circ}$ (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)  $m/s$