The climactic moment of the film When the Dragon Jack swallowed the University of the Valle, occurs when a Chemical Engineering student announces that he discovered the equation to determine the volume of the dragon: V (ft^3)= 3.53 10^-2(e 2t^2) where t is the time in hours where the catastrophic event occurred. Solve:

a) What are the units of 3.53*10-2 , and the 2?

b) The European distributor of the film insists that the formula for the volume be given in m3 as a function of t (s). Derive an equivalent equation in the new units

c) If the dragon has a mass of 1000 lbm, calculate its weight in lbf (work only in English units)