The upward velocity of a rocket can be computed by the following formula:

v = v in m₀/m₀ – qt – gt

Where υ = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, m₀ = the initial mass of the rocket at time t = 0, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant = 9.81 m/s²). If u = 2000 m/s, m₀ = 150,000 kg, and q = 2700 kg/s, compute the time at which = 750 m/s. Determine your result so that it is within 1% of the true value. Check your answer.