You must determine the acceleration of a rocket so that its equipment can be dei

Question

You must determine the acceleration of a rocket so that its equipment can be deisgned to survive. The rocket will have a burn time of t = 30secs, during which time it flies straight up with a constant acceleration a; call this "Phase 1" of the experiment. After the fuel is exhusted, the rocket will enter free-fall; call this "Phase 2". The total time of flight of the rocket must be T = 300secs.

A) What should you make the acceleration of the rocket, a, when the engine is on?
B) What is the maximum altitude of the rocket.

Explanation / Answer

part a v=0 at top point v= u+(a-g)t u= (a-g)*30 ..........P v^2 = u^2 +2(a-g)s u^2 = 2(a-g)s .............Q time taken for free fall = 300-30= 270s so v at ground= 9.8*270 = 2646m/s v^2 = 2gs s=2646^2/(2*9.8) = 357210 m from Q u^2 = 2(a-g)357210 from P u^2 = (a-g)^2*900 so 2(a-g)357210 = (a-g)^2*900 a-g = 793.8 so a= 803.61 m/s^2

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