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At a particular point on a track (call it position A), a rollercoaster ($m = 120\:kg$) is at a height of $32\:m$ above the ground. The track drops steeply down to a height of $5.2\:m$ above the ground, rises to $26\:m$ above the ground, then drops again to a height of $15\:m$ above the ground at position B. From position A to position B the rollercoaster covers a distance of $430\:m$.

What is the change in gravitational potential energy (in Joules) of the rollercoaster from position A to position B?

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