Ignoring air resistance, the horizontal componenm; qbyhtkr rx1b1qp 7h .5zy8,t of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angl5x w/ufz1bc(g e 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 projectile'sdy8h7kuy3j0 n :5m(dq3an b gf acceleration gk370: n53qfy mdbndayu8h( j

  A soccer ball is kicked withij 6.iztc;0 pe 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 veff bfi87hfa6 ca o.*4 -w6fwsdlocity vec7fa6 hfib8o6*-dsa. cwwfff4 tor,

  If the acceleration of an object is always directed perpe mden qtt0 ;h+6x m8tws25k:wpndicular to its velocitymdtk0 w;ewxnt +8m2t65h sq:p,

  At what angle should a water-gun be aimed in order for the water to l xq2tp l-sv-(7mb b79e)*mwltrw-njzand with the greatestbrp*mxb ljstet qlw(9- 7-2wz - 7m)nv horizontal range?

  An Olympic athlete throws a javelqiso/j;n ,dxki /k 7n/9 h:xdiin at four different angles above the horizontal, each with the same snx, q:k ;d9do n7skx/iih /ij/peed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the sec;zdke3r +9grbond time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would beg93zd bk+rer;

  A ball is thrown at an original speed of 8.0 m+jo m v a4,-mcrf iobf;p*kbf,0y6kn-/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, ho6i ujkfi,34 5w nsn6wkw does its3f jn6wn iks6, ukw45i speed compare to its initial speed?

  A stone is thrown horizontally from the top of a tower at the same insta 2b0yfjo )mu j.id,gv)nt a ball is dropped vertically. Which object is traveling faster when it hiydfj2v o) )i, bju0m.gts the level ground below?

  A bullet is fired horizontally, and at the same inskyc(jt(- )ct z (vay+wtant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of falv(ty(yjc( c)kw+- zatl of the two bullets.

  A plane flying horizontally :4v,frg5b iq m3rg) hrat a speed of 66.9 m/s and at an elevation of 269 m drops a package. 7.1 seconds later it drops a second pacgmqrf h):3,r54 ivgb rkage. How far apart will the two packages land on the ground?

  A package of supplies ip fx10xd6srsv: z 3;mq5oy v9js dropped from a plane, and one second later a second package is s5m0qjo3 6:;z9dxs1ry vfxvp dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horiz n (yxl l,b.8wb7ev*edk1uwo*ontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location eb dwv87 (*1lkx,lwo yb.enu* of the plane will

  The acceleration of gravity on the Mo2v a2 i29.ksqlyaf p6p1 qlzh(on is only one-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 would oz2p1 a6plyqlh q2 v29(k afs.in Earth, the ball would land

  You are traveling at 55 mi/h iniivva. hw 6h(vbqf ++0 the +x axis relative to a straight, level road and pass a . vwv +q06hbh+(vfaiicar traveling at 45 mi/h. The relative velocity of your car to the other car is

  You are trying to cross a river that flpb/qi*n4eau 8n:r g 1fows 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 youpn4u arn1 8*bg /qif:er motorboat

  Your motorboat can move at 30 km/h in still water. How much time will it tb 37zy/,e4ygb-ge egr ake you tor-g/ eg3 ,bzye4ye7gb move 12 km downstream, in a river flowing at 6.0 km/h?

  If a ball is thrown with a velolqiv0h ;1 :go v4sr(a:tbf v,1ovsh /qcity of 25 m/s at an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  A stone is thrown horizontally with an initial speed of 21 m/s from the edge l/s8ea6i7lo2uicj88iq c/ kr of a cliff. A stop watch mear7cu kioi2c /6jea/lliq 8s88sures the stone's trajectory time from the top of the cliff to the bottom to be 2.8 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 19 m/s, from a bridge. It9dpx1h y8*vquskf3 isa60w u ;o5 fb1s falls 24 m to the water below. How far does the rock travel horiz8q6bh10suv*9ow fkay;3s 1ipds f u5xontally before striking the water?

  A ball thrown horizontally from a point 29 m abi;ka2n;umubwox+ +7 wove the ground, strikes the ground after traveling horizontally a distance of 22 m. With whatw2 + o7b +;aminuuxk;w speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angzqm8 r+9ibp6 gle 6qprmb89gz i+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 with a speed of 1tmueg-u,5cu7luug b7p+(e q-15 mscx 1 m/s at an angle of -c, 1 g5(upulcte7sbem xu-gu7+uq m5$38^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initi :ab2w ju,9qi)ag-ftckt,i.m al velocity of 39.4 m/s at an angle of $13.8^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched8 i2v-e0,.rpaaqipzxi(lg .d with an initial velocity of 35.0 m/s at an angle of $26.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an ancltczu6xk7*u7n wgk0qs5c( 8 gle 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 horixhdy+d + fhm2gr *3myk3g 8w--yzei+xzontally at 22.2 $m/s$ from the roof of a building 47.3 $m$ 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 fgxwninj /n +q)zl(x6 4 6a5hiurom ground level with an initial speed of 43.5 m/s at an ang+n n5gw 6)qha/uxin4zl6xi( j le of $45.8^{\circ}$ 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 v0o ohp:,;c/a3 aazjwxh,o+v horizontally fires a projectile with speed 50.0 m/s in a forward direc:3hh0vz,woaoj cap oxav+ ;,/ tion $30.0^{\circ}$ 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 a river witp xq3*nm(ne/yh a current of 6.0 (*m /enqxpyn3m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat thaeuo yzv r7pbeh3azj 5( p:5s48t can move at 13 m/s in still water wishes to travel directly across a river 1.9 km wide in which the current flows at 6.7 mrhz5zupe v843ao(5 y b7epsj :/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stillh7 tlo1;lg b9l0d,uqynb r (y/ water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At w 7lhdt/90;yg ql n1blr,u( obyhat angle upstream should the driver head the boat?

  A swimmer heading directly across a r (5h o3tqidhyi4( uk,eiver 200 m wide reaches the opposite bank in 6 min 40 s. She is swep( yeodi(5k 43uqth, iht downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly ac6 pbqqy,c:aqwi/ vq1(ross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of/ 6p1 qcbyaq,(i:q vwq the current?

  A boat, whose speed in still water is 1.01 m/s, must aim upstreaoh1p wohaf)9 z7 qc-.fm at an angle ofcph) z f97a. qfwh-oo1 $30.8^{\circ}$ (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)  $m/s$