# 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 \(\text m\))?