Question

A projectile launched vertically from the surface of the Moon rises to an altitude of 465 km.

Part A What was the projectile's initial speed?

Answer 1

Given is:-

The altitude of the projectile   or

Now,

we know that the gravitational acceleration constant of moon is

Using third equation of motion we get

by taking upward direction positive and plugging the values we get

(Note: - we know that at highest point the velocity will be zero)

which gives us the initial speed of the procjectile

or