Early American rockets used an RC circuit to set the time for the rocket to begin re-entry after launch (true story). Assume the capacitor is initially charged, and then discharge begins at launch, t = 0 (this was when the umbilical connector was disconnected). Further assume the resistor in the RC circuit is 1k Ω, and the control circuit begins re-entry when the voltage drops ~63% or to ~37% of full-scale (i. e. 1 time constant), and re-entry is desired to commence at 5 minutes (i. e. 300 seconds after launch). Calculate the capacitor value required.