A test rocket containing a probe to determine the com-position of the upper atmosphere is fired vertically upward from an initial position at ground level. During the time t while its fuel lasts, the rocket ascends with a constant upward acceleration of magnitude 2g. Assume that the rocket travels to a small enough height that the Earth’s gravitational force can be considered constant.
(a) What are the speed and height, in terms of g and t, when the rocket’s fuel runs out?
(b) What is the maximum height the rocket reaches in terms of g and t?
(c) If t = 30.0s, calculate the rocket’s maximum height.