Use energy conservation to calculate analytically (that is, without doing a numerical integration) the final speed of the spacecraft just before it hits the Moon. Include the gravitational effect of...

Use energy conservation to calculate analytically (that is, without doing a numerical integration) the final speed of the

spacecraft just before it hits the Moon. Include the gravitational effect of the Moon. Use a launch speed of 1.3 × 104 m/s.

Modify your program for the Chapter 3 problem on the Ranger 7 mission to the Moon to print out the speed of the spacecraft

when it hits the surface of the Moon, and compare this value to your analytical result. What questions that could be

addressed in the numerical integration are you not able to answer by doing this energy calculation?