Angular Projectile Motion: A 2-stage rocket is launched at an angle of 53.0° above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its 1-stage engines fail and the rocket moves for 5.00 s in the second stage along this line with an acceleration of 40 m/s2. The second stage engine fails and the rocket proceeds to move as a projectile. Find
(a) the maximum altitude reached by the rocket,
(b) its total time of flight,
(c) its horizontal range and
(d) the final velocity it has just before impact.