A level control system has a gain of 6 and a time constant of 0.02 seconds that relate the fluid level in meters to the input flow in cubic meters per second. With the tank empty, the inlet valve is...

A level control system has a gain of 6 and a time constant of 0.02 seconds that relate the fluid level in meters to the input flow in cubic meters per second. With the tank empty, the inlet valve is opened with a step change from 0 to 0.25m3 per second. Determine the level after 0.05 seconds and the final level in the tank.