# Minimum speed

**Classical Mechanics**Level 4

A particle projected from the ground passes two points, which are at height \(h_{1}=12 m\) and \(h_{2}=18 m\) above the ground and at a horizontal distance \(d=8 m\) apart (diagonal distance \(10 m \) apart). What could be the minimum speed \(u\) of projection?

\(g =10 m/s^2 \). All other force are neglected.

\(u \) is in \(m/s \)