Escape Velocity — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Escape Velocity Calculates the speed required to break a ballistic trajectory from a massive body, assuming no air resistance and no additional propulsion. Define Total Mechanical Energy E = K + U Set limit condition: velocity reaches 0 at infinity distance Therefore, Total Energy at infinity is 0 By Conservation of Energy: 1/2 m v e 2 - GMm/R = 0 Solve for v e R > 0 M > 0 Assumes spherical symmetry of the massive body Ignores atmospheric drag Escape velocity depends on the mass of the object escaping (it does not, the small m cancels out). Escape velocity is the speed required to enter orbit (No, that is Orbital Velocity, which is smaller by a factor of sqrt(2)). The object must travel vertically (Escape velocity is a speed, the direction doesn't matter as long as it doesn't intersect the ground).