Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_203

2/203 A rocket fired vertically up from the north pole achieves a velocity of 27,000 km/h at an altitude of 350 km when its fuel is exhausted. Calculate the additional vertical height $h$ reached by the rocket before it starts its descent back to the earth. The coasting phase of its flight occurs above the atmosphere. Consult Fig. 1/1 in choosing the appropriate value of gravitational acceleration and use the mean radius of the earth from Table D/2. (Note: Launching from the earth’s pole avoids considering the effect of the earth’s rotation.)