How can the function for distance over time be found for an object which is thrown away from Earth? Acceleration as a function of distance is
g = GM/r^2,
where GM is constant, so let c = GM, then
g = c/r^2.
Then I wondered, maybe the formula for distance can be found by solving the differential equation
r'' = c/r^2?
I have never studied differential equations, so I have no idea about it, even to whether I can really say r'' = c/r^2.
If someone can elucidate my mind, I shall be grateful.
g = GM/r^2,
where GM is constant, so let c = GM, then
g = c/r^2.
Then I wondered, maybe the formula for distance can be found by solving the differential equation
r'' = c/r^2?
I have never studied differential equations, so I have no idea about it, even to whether I can really say r'' = c/r^2.
If someone can elucidate my mind, I shall be grateful.