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Classical Mechanics

Escape Velocity

The minimum speed required for a ballistic object to escape a massive body's gravitational field without further propulsion.

Governing formula v_esc = √(2 G M / R)
SI unit m/s

In depth

At escape velocity, total mechanical energy (KE + PE) equals zero. For Earth, escape velocity is approximately 11.2 km/s (~25,000 mph).

Examples in the real world

Interplanetary space probes launching from Earth needing to achieve 11.2 km/s to break free of Earth's gravity.