Ignoring air resistance, the horizontal component of a projectile's veln t 7 v+zdq5l8h9da;hgocity

  A ball is thrown with a velocity of 20 m/s at a4p17u() qdod(cch smrx f;0 xjn 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 a8 y0nq2m npa7component of a projectile's accelerationnapya87m 2q0 n

  A soccer ball is kicked w5l.*v c/gcu*v: whq6r j4yqkuith a velocity 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 the veloci 7gq gx69,(*ndjcoizyty 9,oj*6q g ny(7gizd xcvector,

  If the acceleration of an object is always directe4 d7p5q lxw:tlynx58/1hq ffwd perpendicular to its velocitw 8 7pf5 yln1:hw ftxqxl4dq/5y,

  At what angle should a water-gun be aimed in orderl )hbx j46j6jb for the water to land with the greatest hojxb)4hl 6jj b6rizontal range?

  An Olympic athlete throws a javelin a-1;c uud7icjvt four different angles above the horizontal, each wuc;7 1ji-ud cvith 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 second time. If the ba z2/4 3nxnadb8p4vrrxll leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would be4n3rd zxrx8pva 2/n4 b

  A ball is thrown at an original speed of 8.m 7-bxids6 :c1h6*p8ni oh 61vpz epvw0 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, horx7 i+ c4q ovyyr32q*cw does its speed compare to its initx4ry 3*qv7+cicoq 2y rial speed?

  A stone is thrown horizontally from the top of a tower at the same i5x 4g6z uy3 +n jpjl53 5xymb8.bvqntenstant a ball is dropped vertically. Which object is3bnzx45b5y8p.me y+j ngt xu 36v5lqj traveling faster when it hits the level ground below?

  A bullet is fired horizont d 5d4kpzb31kuk1n y* 6jdcws*r56b px)2koeq ally, and at the same instant a second bullet is dropped from the samen oz2d*r5 6s*)1p 4xbeyu3kc 5d bd1pkkqkwj6 height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed ofc7w( zg4exj6ul) y b.p 76.4 m/s and at an elevation of 242 m drc)w buj6(x7. 4lypgez ops a package. 6.7 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,y z4o, *yzxyn: and one second later a second package is dropped z *xn,yyz4o:y. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a planew( f t9bzb:t/s flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal loc/ 9fzbwt:bts (ation of the plane will

  The acceleration of gravity on the Moon is only one-jbj149vf ,nvs sixth of that on Earth. If you hit a basebaj4j1,bfvnv s 9ll 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 s4 vxp2c v4va chtzezio.+ *3*.a6sylt traight, level road and pass a carxela z ovv+*z 3i44ats26* ycc.p t.vh traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flom1,cv bov*+10mvd x.i0od e 0 cwgeg6zws due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly web 1vevo e gic06w+ogdm0m,v1.0xd z*cst from your starting point. You should head your motorboat

  Your motorboat can move at 30 kmnv lvy*8//grce9 qz*sq ti aeg c8-q7:/h in still water. How much time will it take you to7 ag8-:qenv*r8/v9qt zy*qlg / isce c move 12 km downstream, in a river flowing at 6.0 km/h?

  If a ball is thrown with a velocity of 25 m/s at an angle op*3 2-onwirg vf $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  A stone is thrown horizontally with an initial speed of 11 m/s from the edge ofcfl+lbtx .y 7o t*en b.lzwm 60hqf6ryh.()c6 a cliff. A stop watch measures the st fy l+btn *(w6yrl76hb xlz).0tco6 .hm cqfe.one's trajectory time from the top of the cliff to the bottom to be 2.5 s. What is the height of the cliff?

  A girl throws a rock horizontalnl3bpm2yvx -o/cs oyu /5t.9aly, with a velocity of 7 m/s, from a bridge. It falls 18 m to the water below. How far does the rock travel horizonta. c/3vxuo/apnb- y9 oy5lm2stlly before striking the water?

  A ball thrown horizontally from a point 30 m abovez ot,c8db36x;la8iy h the ground, strikes the ground after traveling horizontal,h 3a bxtyldc6oi 88;zly a distance of 23 m. With what speed was it thrown?

  A jumper in the long-jm 9.j ymdf)xb2zi4ynpu. - gj:ump goes into the jump with a speed of 12 m/s at an angle of fmb- px: yz4 ig29y j.m.dnj)u$20^{\circ}$ 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 gweblrc(g.7+g9j t6l 11 m/s at an angle e(7gj.+bcgll gt6 rw9 of $19^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocio7 bxr 2lyt6(xty of 32.7 m/s at an angle of $18.6^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocojf.o; lez0:pity of 42.1 m/s at an angle of $32.9^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fir8vg0+e ba ig.bed 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 atss f htp-+/gw605b2:mxr ,xaxg:glzn 24.7 $m/s$ from the roof of a building 64.2 $m$ 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 from groe,.szg9 8 tzeiund level with an initial speed of 59.3 m/s at an angle o ze,.gz9seit 8f $43.5^{\circ}$ 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 projectile with speed 50s,-ex o wd uf4kg.vj7 588wopd6lpr 3m.0 m/s inw,85 ko7upsel6dr84.w mfd p-3voxj g 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 directeacf 0oou*w07mci3x :c bm*6:kx:tg r cd across a river with a current of 6.0 mx*cxba m : mg*iu c:0o0:6ft co3w7krc/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can mo+5d j4( zkgihvm*5rtuve at 15 m/s in still water wishes to travel directly across a river 1.1 km wide in which the current flows at 5.1 m/s. How long will it take to cross the r5+j*5kuvimz(dg4 ht river?

  The driver of a motorboat that can move at 10 m/s in still water (dwl3,e pcde;wishes to travel direce 3,l d(pwde;ctly 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 dir.x ay0gi5uq37gl ii8zec7adwq- 2 ig4ectly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still gecg - l zuq52i.3x 48i7iaqg 7ydawi0water?

  A swimmer heading directly across a river 200 m wide reaches the opposif0gl1u(dq j4, ;4dz 9 ;j5xmpx lu oeoo7k3robte bank in 6 min 40 s. She is swept downstream 480 m. What is the speed ofu qx;zd,jkl7m0oe (b34oodux9fp4lj5 o;gr1 the current?

  A boat, whose speed in still water is 1.43 m/s, must aim upstres)k jypl,v:1 bam at an angle oflky, jbs )vp:1 $24.0^{\circ}$ (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)  $m/s$