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Uppicctoic Iestance. Mnen nas rcuched height ol 525 m_ its engines suddenly fail; the only [oree acting on it is nOw gravity (a) What is the maximum height this roc...

Question

Uppicctoic Iestance. Mnen nas rcuched height ol 525 m_ its engines suddenly fail; the only [oree acting on it is nOw gravity (a) What is the maximum height this rocket will reach above Ihc: Iauuneh Pad" (b) How much lime willl elapse after engine failure before the rocket comes crashing down hc 10 Ihe launch pad. and how last will it be moving just belore crashes? (c) Sketch a * v-and y-I graphs of the rocket' motion the [rOm Ihe instant ol blasl-Oll l0 the inslant just belore it slrik

uppicctoic Iestance. Mnen nas rcuched height ol 525 m_ its engines suddenly fail; the only [oree acting on it is nOw gravity (a) What is the maximum height this rocket will reach above Ihc: Iauuneh Pad" (b) How much lime willl elapse after engine failure before the rocket comes crashing down hc 10 Ihe launch pad. and how last will it be moving just belore crashes? (c) Sketch a * v-and y-I graphs of the rocket' motion the [rOm Ihe instant ol blasl-Oll l0 the inslant just belore it slrikes thc OM pad: 644 hol-uir balllvonist, ris- Figure E2.44 lial erlically with cunslani Vc- pi S.(X) m{s 5,00) mfs locity magnitude releuses sandbag a( ISUAnI Ig: when the balloon iS 40O m above 1nd the grvund (Fig: E2.44) Alter Ihe W/S_ sandbag released_ il IS in ftee ing? GlL Compule the position ad Athe velocity of the sandbag at (.250 and L.00 alter its releasc . (b) How many seconds after its release dues 'up - the ba? strike the ground? (c) With bove whal magnitude o velocily docs ; just it strike the ground? (d) What iS ition the greulest height aborc Ihe time ground that the sandbag reaches? 40,0 [ I0 groulld (c) Skelch &- Vy-I . und y-t gruphs aking for Ile motion_ cends 2.45 BlO The rockei-driven sled Sonic Wind No uscd for inc Is invesligating Ihe physiological etlects ol large accelerations; runs lown- straight. level track 1070 m (3500 ft) long: Starting from rest. frce it can rEach speed of 224 m/s(S(K) mi/h) in (.9(0 : (2) Coupute Kun thie ucceleration in I{s assumning that is constant: (b) What iS the ratio of this accclcration t0 that of [recly falling body (g1? What distance covered in (900 magazine article states that at the end of certain run thc spced of the sled de l eantamnalenan HHOS hud bal duruy



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A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 $\mathrm{km}$ above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed of 850 $\mathrm{km} / \mathrm{h}$ , the rocket is dropped. After the drop, the airliner maintains the same altitude and speed and continues to fly in a straight line. The rocket falls for a brief time, after which its rocket motor turns on. Once its rocket motor is on, the combined effects of thrust and gravity give the rocket a constant acceleration of magnitude 3.00$g$ directed at an angle of $30.0^{\circ}$ above the horizontal. For reasons of safety, the rocket should be at least 1.00 $\mathrm{km}$ in front of the airliner when it climbs the airliner's altitude. Your job is to determine the minimum time that the rocket must fall before its engine starts. You can ignore air resistance. Your answer should include (i) a diagram showing the flight paths of both the rocket and the airliner, labeled at several points with vectors for their velocities and accelerations; (ii) an $x-t$ graph showing the motions of both the rocket and the airliner; and (iii) a $y-t$ graph showing the motions of both the rocket and the airliner. In the diagram and the graphs, indicate when the rocket is dropped, when the rocket motor turns on, and when the rocket climbs through the altitude of the airliner.


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