Which one of the following is an example of a vecto /hfrm cpn+-u9s. r+ter quantity?

  Which of the following of;1w(m 5b6 p lf 9/vxnrumdj-jperations will not change a vector?

  Which of the following is an accurate sl2 ;;u..nif,cmvzjb statement?

  The resultant of two vectors ip++ m5oc xpol8s the smallest when the angle between them is

  Two displacement vectors have magnitudes nyt 2* 2lkhbn n:r/3 q/fpbxv8of 5.0 m and 7.0 m, respectively. When these two vectors are added, the magnitude of the s:/rkhb tq2xn*l b fp2vny83/num

  Two vectors, of magn l9fs nj03 u/x+lvjj:gitudes 20 and 50, are added. Which one of the following is a possible answer for the magnitude of v j+fjsx:l0 l3gn/uj9 the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object in directions vf.n+ ga -jhr5l25a/y ft:bvj thath52f+glfv b -nrjvy :j.aat 5/ are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector numh/ 8 lbf 2 pk.+q3p1crmozxp b5u9:is

  Ignoring air resistance, thej s. bi;uc55tc horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s o8w x ulf q4 -f9 xzrvai8b,,c08yuk6wat 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 k,o ie0ji i i4t(z,kk8component of a projectile's accelerationkk48j(oi ie0tizki , ,

  A soccer ball is kicked with a velocity of 25 m/s at an angle oqz-90o h+ hbdcf $45^{\circ}$ 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-uk 5qh ( 8b,;guqozr7lparallel to the velocit7g8uzr,;5kb luo qq( hy vector,

  If the acceleration of an object is always directed perpendicular to i141 ohr qzhv5cts velocity,qhzoh 15v 1r4c

  At what angle should a water-gun be aimed in order forzt4pf.cw ja dord;e1; -.y*,wazw2yp the water to land with the zc,* r.pfz w1 a;t .2wdeoj-ayd pw4;ygreatest horizontal range?

  An Olympic athlete throws a javelin at four different angles abo7 84nb s1fyww70)ga2nynro cuzt (/ocve the horizonta1acntf4onw bwoy/0() csu7yz gn r827l, 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 se66gb2epfqp3ikq 1(hy- i4 dqrcond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horiz61igh dp 2-qqpf4i(q b6yr3keontal range R (compared to your first serve) would be

  A ball is thrown at an ori2pf,f -iw7/sn mv5l poginal 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 height, haq-bio w5e*+b 7us xl--ovnbw9 7mt 4yow does its speed7b9m5 a-+7-e4o n lq wxts obivw*-ybu compare to its initial speed?

  A stone is thrown horizon j-qq(9(spxg ntally from the top of a tower at the same instant a ball is dropped v ps(-x(q ngj9qertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a secony 5buga z9s rn8*y:;k9h,cbqk d bullet is dropped n9;s z ,kkhb c9a5*qbr8uygy: from the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally ;p0+jhl e2 qwwjt51zxat a speed of 55.3 m/s and at an elevation of 290 m drops a pack5ej 0+2tw;x hqj zw1lpage. 4.3 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 p ng:cq5 j,,mvelane, and one second later a second package is dropped. Neglecting air resistance, the distance between the fallinqm5g j,v :cne,g packages will

  A pilot drops a bomb from a plan3g8 p sznm3j(ze flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plm3zjz8sp( gn3ane will

  The acceleration of gtwq9j 8naq- k1ravity on the Moon is only one-sixth of that on Earth. If you hit a baseball on thewtjqn- 9qa81k 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 th+9w(j.6 vk untlb ;ptxo2n 6bje +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. Tntl696; onpubk jt( wj.xb+v2he relative velocity of your car to the other car is

  You are trying to cross uuf :ylf7z.d+a river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You shouldf. fuu7+ :zlyd head your motorboat

  Your motorboat can move at 30 km/h in still water. )1phvg3 gv+u rj l -6bd6ca iow*-j/lm How much time will it take you to move 1bacg 1 +/jom3 6 vl*vhpurgw ji-)-dl62 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x a0l3 k 3xqfzbd.xis. The y lx3qz .k bd0f3component of A is

  If a ball is thrown with a0ev4lmc c7r+ )ejinf * 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 dir+0e70 8 afk ckx(oatueection north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east have you wakefa8x0kot uc70e+ ( alked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity is d9o+o aix,0pqk)q g 2 /arrs8o8.00 m/s. The angle between th2qrogadikso+ 8 po9r0aq/ ) ,xe 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 whatle1g;th (tuc2 angle is the Sun elevated above the horiz lcg2 ut1het(;on?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. ;tbr 2vpj)3r h What are the componer;3pr h2jt )bvnts of the sum of these two vectors?

  Two vectors A and B have coj j )m/9q *swxd1ueyo2mponents (0, 1) and (-1, 3), respectively. What is magnitudex o9 d w2)q1yjue/*jms of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C =e 3oiawk78o xuj(y :ih5/4oft A + B . What is the magnitude ofhwi3 o 8iufaexj 5(oykot /:47 C ?

  A car travels 20 km West, then 20 km South. jrx kr n6fhz/.cd0.x2lw. 0lju *bk/wWhat is the magnitude of its displacementx f.0xr.dz r0c/u 6/w*w hn.ll kjkjb2?

  Three vectors, expressed inqc1vis 6+ nwr/ 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 Cartesiaxqjfd rc+m ,s0/i0ri-n 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 ve:;wjjyf4 eko( 2wa u,1z5mr.0), what is the magnitude of vector C = A - B 51y fwakve urjo; 2:mwz,e(j 4?

  A runner runs halfway around a circular path 2 3 e6zxirbs2oof radius 10 m. What is the displacement ofrbzs236 e 2oix the jogger?

  Two forces are actinpx0x3q cj8hc+8x4 w4zke -nqjg on an object as shown in Fig. below. What is the magnitude 8n- jk3+ x4j40 czpxqx8hew qcof the resultant force?

  Two forces are acting on an object as shown in Fig. below. What is the d/u/u:l av 2xdiirection of the resultant fo/du v/:u xai2lrce?

  Vector A is 4.8 cm long and points 67 pb9cqc9sb* qxa,+fmfr/uialong the positive x axis. Vector B is 7.5 cm long 6b+ifc*9,7 c /xrsb aqmfupq9and points at $+38^{\circ}$ 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 55 cm lonr yez. k0l(btw w(u5,w5bog (lyae.v* 6nfsj-g and points at $30^{\circ}$ above the positive x axis. Vector B is 22 cm long
and points along the negative x axis. Vector C is 31 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 28 m/s from the epvcbj /pe/h 1csg13/p/ic-i ndge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.7 s. What is the heiei cb npv/c/c -ppi311/ h/sgjght of the cliff?

  A girl throws a rock horizontally, with a velocity of1iy-afpk:94afg vu6am8i v-pz+mp 6 w 15 m/s, from a bridge. It falls 15 m to the water below. How far does the rock travel horizontally before striafp:ywp-im+-g mkup zv6 8 614iav9faking the water?

  A ball thrown horizontally fropx2jq;nd d --tm a point 22 m above the ground, strikes the ground a-2dndxj -qpt; fter traveling horizontally a distance of 23 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump witrfrv:tv f;-+ vh a speed of 12 m/s at an angle of -r:f+vfr; tvv $20^{\circ}$ 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 ju g(-ynjq0h; qump with a speed of 10 m/s at an angle o (n0uq-h ;gqyjf $17^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 30.5u gcmkw)*-wp 6 m/s at an angle of $34.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of ,7nrdav1bkwfe an5frr20ff(1 dz)l - 51.8 m/s at an angle of $42.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at bvi7iq+y02l,pv i lg0 y(bl.u 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 )r(. (l8yu uehnxb5 kqat 17.0 $m/s$ from the roof of a building 37.7 $m$ 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 from ground level with an initial sp:5uw-n g6htmfv uo2*heed of 43.9 m/s at an aw2ovht6 mu gn :-5f*hungle of $37.2^{\circ}$ 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 ca8f;b/ zl ffiv1n 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 zi;1lvff bf8/ 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 inojv9zp5ng ox*70iw9.de x+qf d*j: tl a wind of 50.0 m/s to the West. The plane's speed relative to the.ddt+ j9g0w9*voxl x7z:efj5oiq p* n ground is

  A plane is flying due Southx.jh)neq p0di ug+*b/ 8ch 0kc ($270^{\circ}$) 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 he 2(wbwjx 1 1.nlqvxai(aded $30.0^{\circ}$ 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 speed 50; x5m mxhgan8kdo-ded7 a vuhh8x,0)/.0 m/s in a fnxk5-/hmvde; amad)8g8, dh ho7x 0ux orward 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 d ;mvqtg9sr ei lms,k6w3:nb-7irected across a river with a current of 6.0 m/s. What is the speed of the boat as it crosses thevmr lg,be;sm7-:s k wtniq93 6 river?

  The driver of a motorboat that can move at 12 m/s in still water wishe rn/0v u9u6oqmwa-tg.x5 5o lbz/mt -bs to travel dibotm5lr9 5wa vtq-z xb /u.0/n6mg-ourectly across a river 0.7 km wide in which the current flows at 5.5 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 mnk fzpsw:h4;8f-df(t/s in still water wishes to travelff8 4w-htn ps f;k(:dz directly across a narrow strait 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 river 200 m wide r1bn l6*wcg/ nheaches the opposite bank in 6 min 40 s. She is swept downh1wg /* 6cblnnstream 480 m. How fast can she swim in still water?

  A swimmer heading directc4 6inx gc(xwd;98ril ly across a river 200 m wide reaches the opposite bank in 6 mi; i9grx8x iclc6w4d (nn 40 s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 21p- imlul a:-zmt ;4*ukfue3t.20 m/s, must aim upstream at an angle of i3-mt-lemf4 ulu pu:* t 1;kza$16.1^{\circ}$ (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)  $m/s$