The mass of the helicopter is 9300 kg. It takes off vertically at time t = 0. The pilot advances the throttle so that the upward thrust of its engine (in kN) is given as a function of time in seconds by T = 100 + 2t^2.
(a) Determine the magnitude of the linear impulse due to the forces acting on the helicopter from t = 0 to t = 3 s.
(b) Use the principle of impulse and momentum to determine how fast the helicopter is moving at t = 3 s.