A sounding rocket is to be launched vertically from the earth’s surface. It is to be designed for a 350-kg payload that must not suffer an acceleration greater than 5g during the burning period. The maximum propellant mass is 1000 kg, and the structural efficiency factorϵ is 0.1 The solid propellant rocket motor that will be designed for this vehicle is expected to have a specific impulse of 250 s.
Taking g =ge and neglecting aerodynamic drag, determine:
a.The minimum allowable burning period,
b.The maximum height attainable,
c.The height allowable if the maximum payload acceleration were limited to 4 g.
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