Which one of the following is an epxa 2ti78k vufud0c6* xample of a vector quantity?

  Which of the following operations will not chamktqn3*u/w76gl; uea+ y.i ufnge a vector?

  Which of the following is an accurate sj6bp t)xq,9sg tatement?

  The resultant of two vectors is the smallest when the angle between they 1q 2p;8 0stvgn-uszbm is

  Two displacement vectors have./b l xnz p-6j:i4prcez+ebq/ magnitudes of 5.0 m and 7.0 m, respectively. When these two vec-zpc/e l.ie +n6qxb4: jpzr/btors are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Whicv.8j e)+t hngbxe5d;s.qmou+u .yp-lh one of the following is ajlub n.xy; 8.d.+- esp qemovt+u )hg5 possible answer for the magnitude of the resultant?

  Three forces, each havik;++ .jta.dl bt ap5nrvary,+ng a magnitude of 30 N, pull on an object in directions t+a+typ;vran aj t k ,rbl5..d+hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the (zun+2eu0yoj unknown vector is

  Ignoring air resistance, the hori xb 051zo*eknkzontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an rig 5k ,bb2vf,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 ho:zp -j;z l 8389, okrllqzageii;3osarizontal component of a projectile's accelerationpz k9o3qljge;,rz:ol za8lsi8ai- 3;

  A soccer ball is kicked with a velocity of 25 m/s at a9291mcn +kh r6f npunvn 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 o/qg r55accgdn lz76s :f an object is directed anti-parallel to the velocity vector/7czglqs5 : nc6 d5gar,

  If the acceleration of an object is always directed perpendicular to its veloci92updlemv2 sv07 vn5ftym2sdfvvlvpe057 2 9un ,

  At what angle should a water-gun be aimed in order for the water :dt6q5d *dh qito land with the greate*tdqq5d d:6h ist horizontal range?

  An Olympic athlete throws a javelin at four different angles above thec;mm14vc4jtb4 d e1 a:yktr0kdmn,x ) horizontal, each with the same speeda x n,cktd yb01)edmk:j4rt1 vcm;4 4m: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 kayd/(:4x+ l5unhv 7qlq9n fn the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first :lu 9+yn n(/xd fv5nq4q a7khlserve) would be

  A ball is thrown at anem634 vqprkm x:x 7b*e original 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 attemptdly0eol o;gc 2j09p9 u reaches its maximum height, how does its speed compare to0cegj ;0y do92ulp9l o its initial speed?

  A stone is thrown horizontally from the top of a tower at thpj-) n/cauw t ./pg5hve same instant a ball p.phu -c5n) g t/v/wajis dropped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at 556peqsa1v 10wlwysb v7 o ed5the same instant a second bullet is dropped from the same height. Ignore air resistance50apsdq6boee7s v lw 55wvy11. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 83.2 m/s and at an elevation of: q zk8ja6 ptqjk.po4* 129 m drops a package. 6.4 seconds later it dr qja* q6:zk4 .ptk8pjoops 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 la rwf;wmh6.xj :ter a second package is dropped. Neglecting air resistance, thf:. ;wj wrh6xme distance between the falling packages will

  A pilot drops a bomb from a plane flying hori9h +7(lfixf*duvn7)tj/ulp9)h uno w zontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location ofd7l/pf99u*lxw huh (fo7)v ni)tnj+u the plane will

  The acceleration of gravity on the Moon is only o,z 7xa3 1k cgtoliny( w6b62fkne-sixth of that on Earth. If you hit a baseball on the Moonw6,kofig61zl (3 7 bc2xa ktny 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 straid6gz(:m;lcxk ght, level road and pass a car traveling at 45 mi/h. The relative velcd(g k6lmz;x:ocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong currenfs :i00cx2vlq .dsut ;t. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point.0ilsds 0 .u2t;vcxqf : You should head your motorboat

  Your motorboat can mov 8nx ps+-6ej79ellewbe at 30 km/h in still water. How much time will it take you to jxw9+ lsee7 6ep8- lnbmove 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 dege+l/jjm6vxe 2rees below the +x axis. The y colv2j+ee6xj/m mponent of A is

  If a ball is thrown with a velocity of 25 m/s at an ahtva vydz))8i cq *j,9ngle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in jkck *d53wzypk t y. j2j:+nh34i+jpaa straight line in a direction north of east and you end up 2.0 km north and several kilometers east. H: h iyj3jpjz23*w. kat+k+5ydk c jn4pow many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity igky d48a 0thy0fo88f xs 8.00 m/s. The angle between the direction of its motion and the x axis kg4oahy 0ftfd 8x808ymust be

  A 400-m tall tower casts a 600-m long shadow over a level gra,g tr1 ;vm0oqound. At what angle ivo t0gr q,m;1as the Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) an 0z.y :v;4mig-k5mdrv v- smicd (-1, 3), respectively. What are the components of theyd v- k iv;-405mrgvmzcim:.s sum of these two vectors?

  Two vectors A and B have components (0,a+ix.fx5 q d6 6h6jezn 1) and (-1, 3), respectively. What is magnitude of the sum hj qd+exz axf56ni.66 of these two vectors?

  Vector A = (1, 3). Vecto 5mq+(qpy1vyl r B = (3, 0). Vector C = A + B . What is the magnitude of C ?(5vy qqm+ypl 1

  A car travels 20 km West, then 20 kmb*.wihcwfqc luezt-07 p:p.3k a( +qh South. What is the magnitude of its displacement?q.pzt.u b+-qlfhk(p aic* cw h03:e 7w

  Three vectors, expressed fwe;tiq j./;l 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 Car+1y ;xx dzpwts* d3r+t em a(v27h1jfoaqwj2;tesian 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, -8.0r2zal s g0 hbn97iz*+b), what is the magnitude of vector C = 9hz0rg ilzb7*s2nb+aA - B ?

  A runner runs halfway around a circular path of radiuo00/*qkzeh6x- pok 3gh ij sw4s 10 m. What is the displacement 6*/z i eox 0h0w pk4j-o3hkqsgof the jogger?

  Two forces are acting on an object as shown in Fig. below)4xlv1qqu j;i )omd*r. What is the magnitude of the resuoj x;rm1vq 4*)ql)diultant force?

  Two forces are acting on an object as showe(e5 ezi.*xfzci.d.c n in Fig. below. What is the direction of thez e(f e.xc..zce*i5di resultant force?

  Vector A is 5.7 cm long and points along unjnt+z f9:uf(x, f c(v;t6kd the positive x axis. Vector B is 8.3 cm long and poin(, +(dzu6fj uttk9x nv:nf;fc ts at $+32^{\circ}$ 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 85 cm long anxm )g1tzm8-bthguq+;v l2 y 5yx,/x d/)yllqid points at $30^{\circ}$ above the positive x axis. Vector B is 16 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 initi,)4 gzz8v ;v+ggkujpxuk1 m t5al speed of 21 m/s from the edge of a cliff. A stop watch measu) gm8+,z gg;ju1p5txzuvkvk 4 res the stone's trajectory time from the top of the cliff to the bottom to be 3.6 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a veloci 9)ns i(jldmqx3uhf9b o4jw2:ty of 10 m/s, from a bridge. It falls 17 m to the d9 niq uhs)2jm ( 3fwoxlb4j9:water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 21 m above the ground, strikes t jvp. hlc/c. f8gfkt4z3 rl a8j+lu01fhe ground after traveling horizontally a displ l lf f/.j0+auvf8 cz4tg1.3k8jchrtance of 19 m. With what speed was it thrown?

  A jumper in the long-jump goes into the de (r 2fxm52sujump with a speed of 12 m/s at an angle of ( u5s2e2rxdmf$20^{\circ}$ 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 14 m/s at an ang /csn(w vod0w0le ow s0o(0dvc /wnf $24^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velo.z qen 8ofr0 v75e1meccity of 24.7 m/s at an angle of $48.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an init-8 m9y2s eiiqyial velocity of 26.6 m/s at an angle of $39.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angl0 o2aunfc 8nf/1pw 6gle 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 ejvcd qv yyiq8- 0+8(tat 20.6 $m/s$ from the roof of a building 41.7 $m$ 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 spp ;jlo(d-c8 from ground level with an initial speed of 47.3 m/s at an angle (spo;pdj8 - lcof $45.8^{\circ}$ 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*k-k-9szu st2 i2rz dn), 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 a constant headwind which sld-s 9n*s2zzkt-k i 2ruows 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 m/s due North, and is in ajf+6dfrgo qqy (4u): )ful q h0/i9diu wind of 50.0 m/s to the West. The plane's speed fq qidg)y +h4:ju0)6(u ofliqurd f /9relative to the ground is

  A plane is flying due Southv2i d9jj3kg)jj n6t/ z ($270^{\circ}$) 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 j2a4a8elhtdz0us4l fvitn a:o.f-))2x tl d 3headed $30.0^{\circ}$ 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 horizonp2*dc0jm bx +wtally fires a projectile with speed 50.0 m/sd*m bj cpw20+x 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 dtq73wxg9w, (hu binjg3it,6q irected across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses the rivg bgi6 , ,i7xuw(qqtnjt9 h3w3er?

  The driver of a motorboat that can move at 20 m/s in st v5ir8v -gs5mkan1/xa fktw+8ill water wishes to travel directly across a river 1.2 km wide in which the current flows at 7.3 m/ti 5 + x-knawg5k8 8a1vmrfsv/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wishes to trave:): tyketqh54w0pyrk l directly across a narrow straietyk5 pkq h t::)wr40yt in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a ri-xi0) )4. vihyptdfb4(ubzva /yjh7 dver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 4xh iub-v.vb)4d (a /p0h )yti74zdyjf80 m. How fast can she swim in still water?

  A swimmer heading directly across a rive j ,ukk5u r,xfei6hxum1bo4./r 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What ij,b6ko,i5ux/ eu x.u4 k1hf rms the speed of the current?

  A boat, whose speed in still water is 1.42 m/s, must aim upstream at an angc cu-r7u2j3n nclcu:,le of u,-nc cnj3cuc: l27ur$24.9^{\circ}$ (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)  $m/s$