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How can one create a formula for the position of a object attracted by a gravitational force?

Assume we have a large planet with radius [tex]r_0[/tex] and mass M, whose position almost does not change) and an object [tex]r_1[/tex] such that [tex]r_1 > r_0[/tex] units away from the center of the planet.

The objects initial speed is zero. The acceleration the object experience at a distance r such that [tex]r_1>r>r_0[/tex] is [tex]F=\frac{GM}{r^2}[/tex], where G is the gravitational constant. Now I have tried numerous ways to create a position formula for this object given only the starting distance [tex]r_1[/tex], but I have not found one. Do you have any hints for a way to find one?

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# Gravitational force

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