Ignoring air resistance, the horizontal component of a project81ilp pw7+9n wiqhx ik.2+jkdile's velocity

  A ball is thrown with a velocity of 20lhg 7v nm. p;pppit5:, m/s at 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 component of a projects ,*if6 86cxnkcc5fr zile's accelerationzffci5*n 66xkr ,8sc c

  A soccer ball is kicked with a velocif1uy czks . db/z:-tg*ty of 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-parallel to w 5k8oobkh r/ :apu(tr+/ e2yvthe velocity vector,t +r8/kw2povr(e5uykb a/oh :

  If the acceleration of an object is always directed njwy)zmy:nf(8j( 4 clperpendicular to its velocity4j m:(jywn nfl( c8)zy,

  At what angle should a water-gun be aimed in order for the waf,3p.i-r;5qfmb , gnzm qv;jkzhx;9 ater to land with the greatest horizontal rark59f;nmx-j,;q p,bvmiz ghqz ; 3.f ange?

  An Olympic athlete throws a javelin at four different angles above the stzgw /i- 7-6 n8, awsx0exrhwhorizontal, each with the same s-gw70w tn s e,6sw -8a/irxxzhpeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, 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 the ball l+ bcna n3s-w)deaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first sna+bd3 wc)sn- erve) would be

  A ball is thrown at an original speed of 8.0 m/s at a: p -j4u07f9pcyhbqposnr,aoy r0 d8 :n 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 do+ji 6 rnh (utrwyque;fv)a-61es its speed compare to its initiy+-unewu v1i f q )6;tr6rha(jal speed?

  A stone is thrown horizontally from the top of a tower at the samelaj zw/ ,ypl 92-et yko/-9smr instant a ball is dropped vertically. Whichpay/lj t, smo9/ryz2k-9- ew l object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is drov1zv/drm)e c1uylc(ltu gnkl .3 -.m 6pped from the same height. Ignore air resistance. Compare the times of fall of the two bullets( k nvyl 6c.1m .cuz)v- g3rllt/ude1m.

  A plane flying horizontally at a speed of 119.7 m/s and ayww 4c3k.*hbx d.cs3t t an elevation of 133 m drops a package. 2.3 seconds later it drops a second package. How far apart will the two packages land on the groundcxsh. 4w ck*.wd3by3 t?

  A package of supplies is dropped from a plane, and ng77zaei 3sp, one second later a second package is dropped. Neglecting air resistan73p7 zs ,eganice, the distance between the falling packages will

  A pilot drops a bomb(i:3z cs.bwju.2 ;3jdmtuuu b6ev 6b y from a plane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of3dm6jb( 3y z wet .6uu.cvu:2 bsij;bu the plane will

  The acceleration of gravity on the Moon is only mxigf5o4 9 )vd))zxmlone-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 )xigo9x5l4)vmm ) zdf would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straight, level road -il)aseqfn(z cws9 ,/and pass a car traveling at -q9f )lscew, saiz /n(45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flows due southdyu*o*nzbqj fw 1-)p: with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank dinyowqdfu* 1b)jz*: p -rectly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time will it tavqd acjiv ip(3491w .uke you to move 12 km downstream, in a river f3 ujwpdi 4c(i. 1qvav9lowing at 6.0 km/h?

  If a ball is thrown with a velocity of 25 m/s at :o rrg7x0pn5van angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  A stone is thrown horizontally with an initial speedk)mzhh0m(/ - f uj8fbki*ov2 ;t)veex of 26 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top fo-0ev/;tzk8 jb)*( 2 uhxh)evmfki mof the cliff to the bottom to be 2.2 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of w/(x m81d c dxp4g.gcq9 m/s, from a bridge. It falls 10 m4/cd xxc(wd1g qmg. p8 to the water below. How far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 25 m above the ground, strikesjil 3z yb;(42oghn z1k the ground after traveling horizontally a distance of 21 m. With wjh ykb(no ;ziz4l123g hat speed was it thrown?

  A jumper in the long-ju6lrb5vl x4u3.l 3fd) poobaat 8lq0;qmp goes into the jump with a speed of 12 m/s at an angle ol6ax;b)3 3p 5r8 .t vbuflao4dllq0q of $20^{\circ}$ 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 wi::b gh )fh.le +e3rkpzth a speed of 14 m/s at an angle ofglh 3rpf:ee k. h:bz+) $26^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 45.6 m/s at a e,d q6e::r6v*hbxkmu633 kp mr k*gtnn angle of $15.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial veloy5r 36nuwut-cld4g- ocity of 40.0 m/s at an angle of $43.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is firxxkv+mn,i7- ced 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 horizuu q9 00j2 ibq-4yhlydontally at 17.1 $m/s$ from the roof of a building 56.5 $m$ 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 speed ofao 0)huoq6 kj) 41.7 m/s at an angle of huq)k6 0 joa)o$46.7^{\circ}$ 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)  $m/s^2$

  A fighter plane moving 200 m/s horizontally fires a projec:k7-dbv1;flm qv tsu4 tile with speed 50.0 m/s in a dq t7f;v4s l1um kbv:-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 directed acro9gy r vvnncvmib1*1 q;:8-ssp ss a river with a cpvbyq9v;isr -*1nc m8:g1s vnurrent of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 13 m/s invaz( 2qivvfj( 3o n16a still water wishes to travel directly across a river 0.8 km wide in which the current flows at 4.5 m/s.i2jf6(vq 1an3z a(vov How long will it take to cross the river?

  The driver of a motorboat that can move at 1r;mfg vax) a/d 57yi2t0 m/s in still water wishes to travel directly across a narrow strait in which the cufv )y;x t /ig5dm2aar7rrent 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 wimukk4ei2oqq4o :c c 69de reaches the opposite bank in 6 min 40 s. She is swept downstream2o ickq9q44:6emok uc 480 m. How fast can she swim in still water?

  A swimmer heading directly across a riveras ao9p 29( kidezkw46 200 m wide reaches the opposite bank in 6 min 409w4kpia6( a92osdkz e s. She is swept downstream 480 m. What is the speed of the current?

  A boat, whose speed in still water is 1.50 500j,xkb4 bfkcwyg4.v h9lf5x rte 4k m/s, must aim upstream at an angle of bxkk5l ef4w4g,h 49jfxbtk0 0 c5y.rv$28.0^{\circ}$ (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)  $m/s$