If the rocket has an initial mass of 6300 kg and ejects gas at a relative velocity of magnitude 2000 m/s , how much gas must it eject in the first second to have an initial acceleration of 27.0 m/s2 .

The amount of gas that is to be released in the first second in other to attain an acceleration of  27.0 m/s2  is

Explanation:

From the question we are told that

   The mass of the rocket is m = 6300 kg

   The velocity at gas is being ejected is  u =  2000 m/s

    The initial acceleration desired is

   The time taken for  the gas to be ejected is  t = 1 s

Generally this desired acceleration is mathematically represented as

Here  is the rate at which gas is being ejected with respect to time

Substituting values

=>  

=>  

=>  

=>  

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000