List of top Control Systems Questions on Time Response of the First and Second Order System asked in GATE EE

The Laplace transform of the step response of a system is given by
\[ Y(s)=\dfrac{100}{s(s+100)} \]
The rise time is defined as the time taken for the response to go from \(0.1\) to \(0.9\) of its final value. The settling time is defined as the time taken for the response to reach \(0.98\) of its final value.

For this system, the rise time (\(T_r\)), settling time (\(T_s\)), and time constant (\(T_c\)), all expressed in seconds, are