A rocket has an exhaust gas velocity of 2329 m/s and an expelled gas rate of 6761 kg/s. If it has a mass of 1.82 × 10^6 kg what is its initial acceleration ?

1 answer

According to Newton's Second Law
acceleration = (Thrust-Weight)/Mass

The Thrust of the rocket is
T =(exhaust velocity)*(mass loss rate)
= 1.57*10^7 N
(That ranks it among the largest rockets)

Weight = 1.78*10^7 N

a = 0.21*10^7/(1.82*10^6) = 1.1 m/s^2

That is the initial acceleration rate. The acceleration rate increases as mass is lost as exhaust.