A rocket, initially at rest, is fired vertically with an upward acceleration of \( 10.0 \mathrm{...

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A rocket, initially at rest, is fired vertically with an upward acceleration of \( 10.0 \mathrm{~m} / \mathrm{s}^{2} \). At an altitude of \( 0.500 \mathrm{~km} \), the engine of the rocket cuts off. What is the maximum altitude it achieves?
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