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'Out in Space' printed from https://nrich.maths.org/
Use the first part of the question to do the second part.
If you can separate the variables you can write the expression in
the form $$\int f(x) dx = \int f(v) dv$$ and integrate to find the
solution.
Take care over signs, acceleration is towards the Earth and
displacement and velocity are measured in the opposite
direction.