Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_135

3/135 A spacecraft \( m \) is heading toward the center of the moon with a velocity of \( 2000 \text{ mi/hr} \) at a distance from the moon’s surface equal to the radius \( R \) of the moon. Compute the impact velocity \( v \) with the surface of the moon if the spacecraft is unable to fire its retro-rockets. Consider the moon fixed in space. The radius \( R \) of the moon is \( 1080 \text{ mi} \), and the acceleration due to gravity at its surface is \( 5.32 \text{ ft/sec}^2 \).