Cosmic Velocity - First to Meter per Second

The first cosmic velocity (escape velocity from Earth's surface to orbit) is approximately 7,900 m/s (7.9 km/s), the minimum speed needed to achieve Earth orbit.

v₁ = √(GM/r) where G is gravitational constant, M is Earth's mass, r is Earth's radius. Approximately 7.9 km/s.

To km/h: × 3,600. To mph: × 17,672. 7.9 km/s = 28,440 km/h = 17,672 mph.

Minimum speed for satellites, space station orbit, and low Earth orbit (LEO) calculations.

ISS orbits at ~7.66 km/s. Below this speed, you fall back to Earth. Above it, you stay in orbit (if horizontal).

Confusing with escape velocity (second cosmic velocity, 11.2 km/s) — orbital velocity is lower.

Remember: ~8 km/s for orbit, ~11 km/s to escape. v₁ is minimum for orbit, not escape.

The meter per second is the SI derived unit of speed and velocity, defined as the distance traveled in meters over time in seconds. It represents how many meters an object moves in one second.

1 m/s = base unit. Direct relationship with distance (m) and time (s). Speed = distance ÷ time.

To km/h: × 3.6. To mph: × 2.237. To ft/s: × 3.281. To knots: × 1.944.

Walking speed (1.4 m/s average), running speed (elite sprinters reach 12.4 m/s), vehicle speeds in scientific contexts, and wind speed measurements.

Usain Bolt's top speed: 12.4 m/s (44.6 km/h). Cheetah speed: 29 m/s. Speed of sound at sea level: 343 m/s. Light: 299,792,458 m/s.

Confusing m/s with km/h — a common error when reading speedometers. Remember: multiply m/s by 3.6 to get km/h.

Quick conversion: 10 m/s ≈ 36 km/h. To visualize: 1 m/s means moving one big step per second. Multiply by 3.6 for km/h.