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 = 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 = 1800 m/s, m0 = 160,000 kg, and q = 2600 kg/s, compute the time at which υ = 750 m/s. (Hint: t is somewhere between 10 and 50 s.) Determine your result so that it is within 1% of the true value. Check your answer.