Far in space, where gravity is negligible, a 430 kg rocket traveling at 75 m/s fires its engines. The figure below shows the thrust force as a function of time, with the horizontal axis in 8 s increments. The mass lost by the rocket during these 24 s is negligible.
(a) What impulse does the engine impart to the rocket?
(b) At what time does the rocket reach its maximum speed?
(c) What is the maximum speed?