root (using numerical method)

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

v=u (ln (m/m*q*t))-g*t

where v = upward velocity, u = the velocity at which fuel is expelled relative to the rocket, m= 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, m= 160,000 kg, and q =2600 kg/s, compute the time at which v = 750 m/s. (Hint: t is somewhere between 10 and 50 s.)

[Steven Lord]

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