Consider a permanent magnet dc (PMDC) motor which is initially at rest. At t = 0, a dc voltage of 5V is applied to the motor. Its speed monotonically increases from 0 rad/s to 6.32 rad/s in 0.5s and finally settles at 10 rad/s. Assuming that the armature inductance of the motor is negligible, the transfer function for the motor is