Which one of the following is an eg;r palz9e9ypl,efg4x.- f(ww,+- 8a r odkvaxample of a vector quantity?

  Which of the following operations will not change az fi1h927c(nhxc jc eo-2wk*d vector?

  Which of the following if)jl-x*5n )bfmh -sejs an accurate statement?

  The resultant of two vectors is the smallest when the angle betwee4abys)nu*,moe jec 1 2n them is

  Two displacement vectors have mag hjw-zhmk1-a9 l1iky 7nitudes of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the su kykl zw91-1-ihah 7mjm

  Two vectors, of magnitudeym,vz p6n2, l w5.oiaus 20 and 50, are added. Which one of the following is a ,o5a.un 6wlymip,z2 v possible answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pulu* ofhne2de5v2 m 2kj/l on an object in directions that are knmvf e2d*22uoe5h /j$120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector novy3 :oc/jrzr- xm- *is

  Ignoring air resistance, the horizontal compo ltk.7w 2yxbyhmhkwpg zz6tec /l:.* (k0 6uw.nent of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an vr3ds7a2x be0angle 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 prvod.dyd/: ;psqo98,rl 6l:8 ylr:ws,s gpzfpojectile's accelerationo r/o:s;pd9 z:ql pldrgv, ld:6,y8fp8 swsy .

  A soccer ball is kicked with a velocity of2 kk* ,mzcqq9d 25 m/s 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 is directed anti-pdv b5u:u9sk -larallel to the velocity v s-u5:lud 9vbkector,

  If the acceleration of an object is always directed perpendicsdgw;7tym4 , lular to its velocity dts4,g7mwyl; ,

  At what angle should a water-gun be aimed in ordktcz3z.kt r.r, e r:w/er for the water to land with the greatest ho:/k3.tcr r ,zz.rktw erizontal range?

  An Olympic athlete throws a javelin at four dx nle)/rrd0c9ur+-je z79 rhqifferent angles above the horizonta hnzqrx el9cr0d -u+r /jr7e9)l, 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 bay mu16dr9 c+(tm;:xm acmwz8 rll for the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your firsd+8 xzmmw9c; mu6( ytc:arr1mt serve) would be

  A ball is thrown at an orig 4 reb4wu9*kyeinal 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 d02kuclg5h,l atyq:lq2d( +v height, how does its speed compare to its iniu0+2tlv ykg2 al, :(hq 5dlcdqtial speed?

  A stone is thrown horizontally from the to usu7to/*bd w9p of a tower at the same instant a ball is dropped vertically. Which object is traveling fassuub*d/79 o twter when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bulldb 4wcp0pz -4ja6ew2 3oyklu /et is dropped from the same height. Ignore air resistance. C/4dlyaj-pob z6w23w kpuce04 ompare the times of fall of the two bullets.

  A plane flying horizon8vf,op5*da0yj-:ex g wbcrc ( tally at a speed of 53.3 m/s and at an elevation of 294 m drops a package. 3.0-f,acdgy 5r(0:p8vx bjeo *cw seconds 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 -emxgde73/mg77-c u v(g bmxpa second package is dropped. Neglecting p -e g 37m7 vcg7xx(mubed-m/gair resistance, the distance between the falling packages will

  A pilot drops a bomb frokr ag,s9 2vp zrv st96c;3.nrum a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the sut9r prcz2vngvr3a 6.9,k; shorizontal location of the plane will

  The acceleration of gravity on t hll 8pyqo2y15he Moon is only one-sixth of that on Earth. If you hit a 2o pyq5lh l18ybaseball 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 relative to a straight, lewepu6j 3;;zfd/tl;/ psv zwy )vel road and pass a car traveling at 45 mi/h. The relative velocity of your car to the ze ulwpy;;t /dv)sjp/ 36fwz;other car is

  You are trying to cross a river that flows due p5r))1cs 5:fe9gp2bc saluuz south with a strong current. You start out in your motorboat on the east bank desiring to reach the west ba crs95z)ul2p5u fcgpbe) as1 :nk directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time wils3prg9qp)lb0vo+bb w7/o kh tp- sa+,l it take you to move 12 km downstream, in a river flowing at 6.0 km/rb/k)st7 a osp l+wphobbv30 +-p9,qgh?

  Vector A has magnitude 8.0 m at an angle of 30 degrees belo*-1woutmd .olpq5m fg z- wt,*w the +x axis. The y component o-u o- p,mt *mqdg1 owz.tl5w*ff A is

  If a ball is thrown with a velocity of 25 leib fkfquf3(+6bn m/:+ z :qjm/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 dirn5fk6m7shaiikv.lekin .g( 1 *) eg9tection north of east and you end up 2.0 km north and several kilometers east. hek(i*.av im9k)1e.ngtf n57kgsi6 lHow many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x compo uumm5 d; dzj9zt4i9h;nent of its velocity is 8.dt9; 4hm 9;i dmjzuz5u00 m/s. The angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what anglea.( yszwk e7n,7w d ee93oo8ng is the Sun ewo839n(dgk,w o a.yes7enze7levated above the horizon?

  Two vectors A and B ha+3 mb9 i:;lsu dv+sxlgve components (0, 1) and (-1, 3), respectively. What are the components of the sum of these two vecg umdls3slbvi: ;9+ +xtors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectila;+;1m6j lds j2 cmqrvely. What is magnitude of the sum of these two vem6j;l l 2 1sdqa;mcj+rctors?

  Vector A = (1, 3). Vector B = (3, 0). Veteaf)ns2c +g( f6s+xsr k*3 guctor C = A + B . What is the magnitud)sek cuxgs(3+2s 6*gffar+ tne of C ?

  A car travels 20 km West, then 20 km South. What is the magnitude ofgi2 o.ov9g jr1 its displacement? oo2. g19gjivr

  Three vectors, expressed in Cartesian coordinates, cik;5achk3g 7y, *d:b/wfmsho ot7:gare
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 coordinates, aov of gjj(. 10eopaz::re
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.ka09:+p cjqmc0) and vector B = (+3.0, -8.0), what is the magnitude of v9kj+c: ap m0qcector C = A - B ?

  A runner runs halfway around a circular path of radius 10 m. What is i,*v c0petjq-the displacement of the joqt-v,e0 *pij cgger?

  Two forces are acting onuri;01j2v sfupa*3a pln7thqrypm6 +8gr n 9+ an object as shown in Fig. below. What is the magnitude ra3i06rq lp8h7ym ;n u *ptsn 21+jr f9p+guavof the resultant force?

  Two forces are acting on an object as shown in F kkcop5av +)uqdf216p ig. below. What is the direction of thkpafd 2u)6kq1+ c5pv oe resultant force?

  Vector A is 3.9 cm long and points along the positive x axis. Vn:,cts 8txbv bf;r l*(ov h-v-ector B is 6.9 cm long anv:t;vsnloc--8x(b br*htv f ,d points at $+26^{\circ}$ 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 and points qs67 qv log9 s-t5xh,bat $30^{\circ}$ above the positive x axis. Vector B is 26 cm long
and points along the negative x axis. Vector C is 32 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 /q(a li;hv i.qdheb)o9 /2hcgof 12 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the clif l/hqha2 )ivci. 9egq( bd;oh/f to the bottom to be 2.6 s. What is the height of the cliff?

  A girl throws a rocks*gq-*py ,,qz lu1mnl horizontally, with a velocity of 11 m/s, from a bridge. It falls 19 m to the water below. How far n lsy-, z q*1up*,mqlgdoes the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 27 m abot23(xihbbxbq s9k .y6ve the ground, strikes the ground aftx39by 2.btsxk q6ih (ber traveling horizontally a distance of 13 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m:;w3y nmv6u cm/s at an angle o; w3v cum6m:ynf $20^{\circ}$ 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 15 mjo9(s 5p h/qtj6 bu2spk11htc/s at an angle koh sj2(t619cuh5p/bjts1qp of $24^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 36.0 m/s at an aqz- pa b:q6z0dngle of $10.4^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with j0; ravo0 jga;g)kbm/5hnv vv0wit p 0,4w+qj an initial velocity of 32.5 m/s at an angle of $41.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is firmk.uh/r i6p0z31sjgt vo2) ,d 5zyfaced 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 horizontally at 25.7muka--( 7kdmlpai8 /h $m/s$ from the roof of a building 34.2 $m$ 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 elw.* ooeyz9;from ground level with an initial speed of 58.2 m/s at an anz. 9e*yeo;lwogle of $45.0^{\circ}$ 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 1500dp 6, 1.r0ohq8ej 73jeursym n-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 time it w s1mhjure6oyq3d7 r.8,ne0j pould take you to finish would be

  A plane has an air speed of 200 m/ xbtktxm t+/t(t:6 m:q+ubfk* s due North, and is in a wind of 50.0 m/s to thet/u+bq 6tt+:*t mxfk (mt: xkb West. The plane's speed relative to the ground is

  A plane is flying due South 3n6o;zkeeyn ,($270^{\circ}$) 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 heades gulta7*;;xu d $30.0^{\circ}$ 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 horizom s8,jt+5qy ijntally fires a projectile with speed 50.0 m/s in a forward dis85i jq+mjt,yrection $30.0^{\circ}$ 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 c3fudf,b8ksjp* e,6sa river with a current of 6.0 m/s. What is the speed of the boat as it crosse*k3b,f86pf sc js, udes the river?

  The driver of a motorboat that can pb*k3oinz. 9 lmove at 18 m/s in still water wishes to travel directly across a river 1.9 km wide 3noil*9 .kb pzin which the current flows at 7.6 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s4s d83rdd*amv464 fda*d liov in still water wishes to travel directly across a narrow strait in which the current *i*fs 34ol4aamdd4vv rd8d 6dflows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wideg 2xor2o06 tnx reaches the opposite bank in 6 min 40 otox 0gx6rn2 2s. She is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the oppoj.a v5hbi-(f5)5r7ec rt qzadsite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the cur) 5h r-tajv5z idca5be( 7q.frrent?

  A boat, whose speed in still water is 1.37 m/s, must aim upstg7orb3nvadizj7 m b67)d:1x xream at an angle of )1rjoz 767bi x:dad 7gbmxn3 v$31.1^{\circ}$ (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)  $m/s$