Ignoring air resistance, themen(,5z0 r8:2dq3c) *rjmy wcmvv htw horizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angle oz6u0 z* o +rzeayv;zr;f $60^{\circ}$ 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 2aard6cram- ) of a projectile's accelerationda-a)r 2rcma6

  A soccer ball is kicked with a velocity of 25 m/s at a7h mcs:snx8r.g*/z n 59pl qehn 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-pse0oo +wv ml1aq-jy.1*ufhd/arallel to the velocity vect+fmw 1q eo*duly /hoj.0v-s a1or,

  If the acceleration of an object is always directet)h:;o+ghvz q3qh.eoxn1d / xd perpendicular to its velocith+zxxtq qv :e3.n1/hoo;dg )hy,

  At what angle should a water-gun be aimed in order for the water bzg5zo5h* m 4fz5y ks i*c7x qoq3jw/3to land with the greatest horizontal ranzw3 fo*xj 7s iqgoz 55y5qm/ 4bz3h*kcge?

  An Olympic athlete throws a javelin at four different angles above the hoyu3)5/j nd1m6k k4b7 mhjcglirizontal, each with the same sjm1khnj 56y43ig /d) blmk7cupeed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball f vr y rnda :/ ,zufx*2x/o ;g0,xitkyon:1w5onor the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizon/ yxi:2 ko 0wr ,uxtyvd oxar*n;z /f5:g1n,ontal range R (compared to your first serve) would be

  A ball is thrown at an original+w ysb.zsp855ao h r;i 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 g6krhg .dd/d7 loal attempt reaches its maximum height, how does its speed compare to its initial speed?7g/d lhd 6.rdk

  A stone is thrown horizontally from the top of0*28snh y4jm cqunp 6x a tower at the same instant a ball is dropped vertn8syq x0 2 m4pc6ujnh*ically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same ij181ljwp(r sz-.p qfrnstant a second bullet is dropped from the same height. Ignore air resistance. Compare the times of fall of theq(f1 p-j.s1z8 wprr lj two bullets.

  A plane flying horizontally at a speed of 97.5 m/s and at an elevationbjgh8j1 r i5n; of 266 m drops a package. 4.9 seconds later it drops a second package. How far apart will the n ;j18r jibhg5two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second p5+3lj).wv jw4hird8so9j dxwackage is dropped. Neglecting air resistance, the distance between the falling pacjw 3jorw hx w.9+ 8)4jdvs5idlkages will

  A pilot drops a bomb from a plane flying horizontally at 6pez *a*fjnd:5tty o4 a constant speed. Neglecting air resistad etpo *af*5tj:y4nz6nce, when the bomb hits the ground the horizontal location of the plane will

  The acceleration of gravity on t /g;sj6 pk)w vstal,hf8.(e gyhe Moon is only one-sixth of that on Earth. If you hit a bp ;lgw fs.vt) (aykh6 /8,jegsaseball 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 straight, level road a* gkch+p y-dr4nd pass a car traveling at 45 mi/h. The relative velocity of your car to the other ca4 crg+dkp-y h*r is

  You are trying to cross a river that flows ddhki+l1 :rvaf6i n:+jue south with a strong current. You start out in your motorboat on th arj: n:+i+1l6ki dvfhe east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much time wpp9 l5cw 6t+q w hzq80uut-f1bill it take you to move 12 km downstre0z9l6u tt+q581wchwfp b q-puam, in a river flowing at 6.0 km/h?

  If a ball is thrown with a velocity o nz ;uo8crjk : uafulw1)b:1w-f 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 26 m/sz 6dbu6 x6qizmeu,1g/ from the edge of a cliff. A stop watch measures the sto6d,z6mgzbequ ux61 i/ ne'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 10 m/s, from a bridge. 2 ,ovhqp1( lla It falls 24 m to the water below. How far does the rock travel horizontally before striking the water?hv2(q,lop1 al

  A ball thrown horizontally from a point 23 m aevfa )umkww/vg 9uhyc0f9 s 57s hi::+bove the ground, strikes the ground after traveling horizontally a distance of 19 m. With what speed was ia9yi5muvh9ss+w7c khgw:f0) fv u/ e:t thrown?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s zoi+hdlk n 2- z1axlj1f9*c5s at an angle of nc*xh+lkajz 5ldf9zo -s21i1 $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into h2h- az5aggxb vwc3+6the jump with a speed of 9 m/s at an angle of h3ag xb 56zg-ch2+ awv$24^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocx-fhr ov ( 8v).n0vqhbity of 26.2 m/s at an angle of $19.3^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velocity of 405j2ih co+bgc ;.1 m/s at an angle of $12.2^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle o)ls;wzbs f3qtg4iqt27:5 j xsf $30^{\circ}$ 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 hor+sp cqfnb cbrhv:2zog i 8:4)5izontally at 26.1 $m/s$ from the roof of a building 39.3 $m$ 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 from ground level with an initial speed of 67.v: aw9yja s8sk7 3ra1b7 m/s at an angle j3b:ak978 w ssavya1rof $44.5^{\circ}$ 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 rrau 2-.z(xpot1vv 2 1ce,u hum/s horizontally fires a projectile with speed 50.0 m/s in a forward direction1x,u (ve2 o2-t a zuph1ur.rcv $30.0^{\circ}$ 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 direc 0,33pm i4u6pmzbkwnnted across a river with a wn3un,z043mm pik 6bpcurrent 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 12 m/s in still water wishes to trk +*ihts7bk,k7 tj *gcavel directly across a river 1.2 km wide in which t+,tjkkbih* t 7g*s7ckhe current flows at 7.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 mj5r t;a, h23u (rozxqk/s in still water wishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should th(;5qoz r,x uj2 rht3ake driver head the boat?

  A swimmer heading directly across a river 200 m wide reaches the oihoq(o,uero; m lb9*y8lu8 d 6pposite bank in 6 min 40 s. She is s ub l868*ohrimo9oql,du(y; ewept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bankg*zdh5, r3f b-4zyl ec in 6 min 40 s. She is swept downstream 480e zfzh *c3r45 -d,gybl m. What is the speed of the current?

  A boat, whose speed in still water is 1.95 m/s, must aim upstream at anj1tjf 8 yb:6yn angle of tf8j :6byn yj1$31.5^{\circ}$ (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)  $m/s$