The upward velocity of a rocket can he computed by the following formula: where = upward velocity, u = velocity at which fuel is

The upward velocity of a rocket can he 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 = 9.8 m/s²). If u = 1800 m/s, m₀ = 160,000 kg, and q = 2500 kg/s, use six-segment trapezoidal and Simpson’s 1/3 rule, six-point Gauss quadrature, and O(h⁸) Romberg methods to determine how high the rocket will fly in 30 s.

v = u in g!