A hockey puck of mass \(m\) glides across smooth ice and experiences a net horizontal force \(F(t) = F_0 \left(1 - \dfrac{t^2}{T^2}\right)\) in the direction of its motion during the time interval \(0 \le t \le T\), where \(F_0\) and \(T\) are positive constants. What is the magnitude of the total impulse delivered to the puck during this time interval?