62. A rocket is fired straight up from the ground. It contains a payload and two stages of solid rocket fuel that are designed to burn for 10.0 s and 5.00 s, respectively, with no time interval between them. In stage 1 the upward acceleration is 15.0 m/s. In stage 2 the acceleration is 12.0 m/s2. Neglecting air resistance, (a) how fast is the payload moving at the end of stage 1? (b) How fast is it moving at the end of stage 2? (c) What is the altitude of the rocket at the end of stage 1? (d) What is the altitude of the rocket at the end of stage 2? (e) What is the maximum altitude obtained by the payload? (f) What is the total travel time of the payload from launch to landing? Assume the acceleration due to gravity is constant. Example 2-6