The acceleration of an upward rocket is given by the following different ial equation: dv uq dt m, -qt where mo is initial mass of rocket at t=0 (kg ), q is rate at which fuel is expelled (kg/s) and u is velocity at which the fuel is being expelled (m/s). Given the initial mass of the rocket is 100,000 kg, the rocket expels fuel at a velocity 1400m/s at a consumption rate of 1500 kg/s and g=9.81 (m/s² ). Estimate the velocity of the rocket till time t=5 with At =1 and V, = 0. Ifthe exact solution is v(t) =u ln gt, find the abso lute ib-u errors.

The acceleration of an upward rocket is given by the following different ial equation: dv uq dt m, -qt where mo is initial mass of rocket at t=0 (kg ), q is rate at which fuel is expelled (kg/s) and u is velocity at which the fuel is being expelled (m/s). Given the initial mass of the rocket is 100,000 kg, the rocket expels fuel at a velocity 1400m/s at a consumption rate of 1500 kg/s and g=9.81 (m/s² ). Estimate the velocity of the rocket till time t=5 with At =1 and V, = 0. Ifthe exact solution is v(t) =u ln gt, find the abso lute ib-u errors.