# Catapulted

Calculus Level 3

On NLLM (a satellite of the planet VZIGS) the gravitational acceleration is exactly $$3 \text{ m/sec}^2$$.

A catapult launches a stone from ground level at a velocity of $$13 \text{ m/sec}$$. The horizontal component of the velocity is exactly $$5 \text{ m/sec}$$. At the peak of the stone's trajectory, what is its displacement from its starting point (in $$\text m$$)?

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