The upward velocity of a rocket can be computed by the following formula:where υ = upward...

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

where υ = upward velocity, u = velocity at which fuel is expelled relative to the rocket, m₀ = initial mass of the rocket at time t = 0, q = fuel consumption rate, and g = downward acceleration of gravity (assumed constant = 9.81 m/s²). If u = 1850 m/s, m₀ = 160,000 kg, and q = 2500 kg/s, determine how high the rocket will fly in 30 s.