Which one of the following is an example of hc8,q m ,-l.ajj ibqw7a vector quantity?

  Which of the following operations will not change a 5k5gqo.zmce 2vector?

  Which of the following 8o owto 1n6.f8 dhn)gbis an accurate statement?

  The resultant of two vectors is the smallw d +hxgw0klmtr7km*2/5ld(/ f)kfq pest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively.*xzqm ,92z u,o: yoqwz When these two vectors a u ,w9qqm2z zox,zyo*:re added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the faruaqt z .7 4;ccxb;c,ollowing is ,u47c;rzat.x bac cq; a possible answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, .s hh3plqosc:8rs*;r pull on an object in directions thrros c*q;h:. ls8sp3hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown 9sda/uqhe f6( 5:bcci 1a-yaovector is

  Ignoring air resistance, the +qw. m*bjx 73ja6 heakhorizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at anj*3byzf uoxmuqp; 8.g g3ix/df6 p3z * 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 component of a projectilz ts/qu)- fw4-6rfw uctq byn/1xu -k-e's acceleration fbrt/t-qfc unkw6 s/q4)-xu 1z-uw-y

  A soccer ball is kicked with a velocity of 25 jke +-+ rh0b/ (fosmdxm/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-paralle)pib4 qlrcj 8w z/-r9cs0w8ja1bq-hyl to the velocity lcchr pi swqj-wbj9 q4/818ry-b0z)avector,

  If the acceleration ;g xy7 +uls twzx384biof an object is always directed perpendicular to its velocitub3+ ; i z4lwtyxsg7x8y,

  At what angle should a water-gun be aimed in order for the water to lantj 8ks6/+, b6j s) hrw5 a5dpxtjux4qdd with the greatest horizontal range? ku6d6 5x/,qxpjh+ds8b swt4r a5j)j t

  An Olympic athlete throws a javelin at four different angles abovgfp w*9glad6j99(y0 f q1gde +,fx;zdks+fuae the horizontal, each with th0(dyg 1f99k a+w*dpl f9f,z eujad+ fsqg gx;6e 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 secondu vu9, uw0xv-v time. If the ball leaves your hand with twice the velocity it had on yo9uw0u-x, vvuv ur first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at abma*6 (i qj(9zg-ehrabltu +y;)vw x;n 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 attempt reaches its maximum height, how does itax.-k8qoem 6fs speed compare to its fk- 8.oexa6 qminitial speed?

  A stone is thrown horizontally from the top of a tower at the same instant a ba 2hidjn .vwvt,w ra.f5( ehg+;ll is dropped vertically. Which object is traveling faster when it hits the le. ah5+;whn .r (tdi,gfevjv2wvel ground below?

  A bullet is fired horizontally, and at the same instant a second ba3x -nxu,a:xw psoyg1hl/i.k01tff 1*ii u2e ullet is dropped from the same height. Ignore air resistance. Compare the times of fa1: kau/0i*su,fp1 wi- xeax 3f.ghxi 2yotn1lll of the two bullets.

  A plane flying horizontally at a speed of 72.4 m/s and at an elevation of 252 mc2 vq6dghh rx*jp 713 7iicv5c drops a package. 3.9 seconds later it dropigdhp37cv xj rqc c1*v265i7hs 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 se :hqev,t: ad-xcond later a second package is dropped. Neglecting air resistance, the distance between the falling pac,qhta- vex::d kages will

  A pilot drops a bomb from a plane flying horizonw6 (qw) dg;7pwx2nto stally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of tt7 ;wwgd)qws 6(on p2xhe plane will

  The acceleration of gravity on the Moon is only o1-lmgq4i )vpg q/)z qhne-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) tha/) 1zqgpqqilg h 4m)v-t you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative p /7agmz :rv 8bid,2beto a straight, level road and pass a car traveling at 45 mi zv28pre,a:d bmg7/ib /h. The relative velocity of your car to the other car is

  You are trying to cross a rivexcs6 pa)xg /5c3ookvl ptl: +p8 v5;lor 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 should head your xpx:8llpcl;toov)+ov ac6p3k 5sg/5 motorboat

  Your motorboat can move at 30 km/h if f*dh7mel0 1g 0bc-j2ifai3hn still water. How much time will it take you to move 12 km downstream, in a river flob7ad 10 ihf0gh-ljf3 e ic2*mfwing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees bel2pv i/p5 1mz6vh:n+an zmm6v2bmy d;gow the +x axis. The y compone vmhv6:ma1 5;pyi/2dmvg2 nzmz +n6bpnt of A is

  If a ball is thrown with mw,ec+d dt)d1sy ou2) a 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 direction north of east ol0+916k bhws7phidiand you end up 2.0 km north and several d1s09iophb hwil+k67kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocit)geg2g48th om*qwm0b y is 8.00 m/s. The angle between the direction of its motion and)hqog4*tg gb8wem m02 the x axis must be

  A 400-m tall tower casts26miew9qs 3n y a 600-m long shadow over a level ground. At what angle is the Sun elevat2weq6 in9ym3sed above the horizon?

  Two vectors A and B have components (0,4 jwf0c,yr3q k ij/ngwdrw()8csg8 z9 1) and (-1, 3), respectively. What are the components of the sum of these twonw0c 4d,9z y w3jrgkiw88jfcg)r(s /q vectors?

  Two vectors A and B have components (0, 1) and (-1, 3),x5 m4hi mw i7 w*loq)3m)7faiw respectively. What is magnitude of the sum of these two veci om4*wi)3a7 w7w mqh)fl 5mxitors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . Wha x;x.obq:pn .at is the magnitude n q; p..bxox:aof C ?

  A car travels 20 km West, then 20 km South. What is the mag6eghn3v8u8gx* k1 zbnnitude of its displacemen g x3eb86vz 81gn*hkunt?

  Three vectors, expressed in4fus0e (+8 s,;rebpy7u whdnn 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 Cadv ekgnr+w9u+u- )ph7 rtesian 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), whay j.4ls *ya7mkt is the magnitude of vector C = A - y. * ms7l4kyajB ?

  A runner runs halfway arounun8sa9cw u 9g b5)w4l4rsjrm-d a circular path of radius 10 m. What is the displacem)usrj98l449wrs-c5wbgun m aent of the jogger?

  Two forces are acting on an object as shown in Fig. below. What is the magnituw fi +zr+lt s7rm(z6j7de of the wm (zf7 trj6+slr+ 7izresultant force?

  Two forces are acting on an object as shown in Fig. below. Wg .5m n3rgp:e4tzmy8:uudrmgal,/ 8uhat is the direction of the resul8. ayger dm:u/p:ugz m, nl4rutgm385tant force?

  Vector A is 5.7 cm long and point7y8 bex/8mhq gns.8 juc bfke/1/n p(6)myyyas along the positive x axis. Vector B is 6.3 cm long and points at mp8 yhqjefa 8 b1 yg6/kmx7eyn/y(nbc8/ ).su$+39^{\circ}$ 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 61 cm long and pmu.dce-cno l e8g-l4 /oints at $30^{\circ}$ above the positive x axis. Vector B is 27 cm long
and points along the negative x axis. Vector C is 41 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 8t wdlt de:x91z4w +-p6sp uqsgmb)+tof 29 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 2.7 s. What is the height d 4tz) 9 due-:xmt6+ g1bsp tqp+w8wslof the cliff?

  A girl throws a rock horizontally, with a velocity of 14 m/s, from a b8bn9cx4c mq 5u1n(k9 hu ol9tdridge. It falls 16 m to the water below. How far does the rock travel horizontalu 199 cn5x4mqnkultb9doc8h (ly before striking the water?

  A ball thrown horizontally from a point 21 m above th/qyey-h9c l 1ge ground, strikes the ground after traveling horizontally a distance of 22 m. With what speed was itq9ylg-h/ yce1 thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/st,6r:tmha)gll vg73p at an angle o:vhg rt,7ll)at6 p m3gf $20^{\circ}$ 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 12 m/s at an aw/k (5q go9 xgqs7,5+ epgdhodngle og dpx5,w/gh(ds o5 +9 7egkoqqf $22^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 52gi79f 2zt* ezwol;kt .l.2lp f.3 m/s at an angle of $27.1^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launchedz 5fld86qmkdby 5d5j54nfi . e with an initial velocity of 54.1 m/s at an angle of $24.4^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is firt uxaz 2aizf m3,f.;/:q.lnw led 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 homci0: w3sunb 6by)s p+rizontally at 25.9 $m/s$ from the roof of a building 55.6 $m$ 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 grokkrrz)ldi;53 p-lf k*und level with an initial speed of 59.1 m/s at an ang- drlkkzf l ;5*3k)prile of $44.7^{\circ}$ 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 rs 9vsq,gf14 13ycioi yace 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 m9 11oyi3c4isy,qf v gs/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 i.yihw5gdp2( kiqn50mn a wind of 50.0 m/s to the West. The plawh52mpqg ni(d.i 50yk ne's speed relative to the ground is

  A plane is flying due Sh0aopbsp r4 4v.h xl,(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 ho n ,5vxmpg:a4eaded $30.0^{\circ}$ 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 +ihldtb.z -g;bkk/r 5horizontally fires a projectile with speed 50.0 m/s in a forld/5.-k gb; +rbktihzward 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 wat0+dgxh )e:iruu 9d/eqer is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed o)eedxd r u:u+/iq g0h9f the boat as it crosses the river?

  The driver of a motor mfl f9w9o35u9 kc2surboat that can move at 13 m/s in still water wishes to travel directly across a river 1.7rf9om9 9u5 3swf2uckl km wide in which the current flows at 5.1 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stir369f av khbxo) uag76ll water wishes to travel dir7ab) 9 o3ufrkh66gaxvectly 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 o3 g d7cex:;ufriver 200 m wide reaches the opposite bank in 6 min 40 s. She i7 ouefd3g c:x;s swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading direc*v ef x03ac,vjf) 6hle1b5ziytly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m1i,) vfh0 l cye3bzv5efjx *a6. What is the speed of the current?

  A boat, whose speed in still water is 1.92 m/s, must aimn;k8lrivdw dj ;4u32i11kt vz upstream at an angle of 4 vw ;1n8dikrj dul2k1izt3;v $25.4^{\circ}$ (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)  $m/s$