The following equation describes the motion of a rocket that is expelling a total mass m of fuel at a rate ?=?dm/dt : dv/dt=u?/(m??t) , where u is the speed the fuel is ejected, v is the velocity of the rocket in the x-direction, and t is time. assume the velocity at t=0 is v(0)=v0 , and that m , and u are constants. the burn rate is proportional to the mass of the rocket, as follows: ?=?m , where m is the current mass of the rocket (which is therefore time-dependent). this means that as less fuel is available to burn, then the fuel is burned at a lower rate.
A) True
B) False
