Equations · equation
Kinematic Equations
Mechanics · 1638
- Equation
- v = v₀ + at, s = v₀t + ½at², v² = v₀² + 2as
- Field
- Mechanics
- Symbols
- s displacement · v₀, v initial and final velocity · a constant acceleration · t time
- Year
- 1638
Significance
Motion under a steady push, from a dropped stone to a car braking. Galileo got them from a ball rolling down an incline in 1638; the Merton scholars had the mean-speed rule three centuries earlier. Each is the fundamental theorem of calculus applied once or twice to a constant, and they fail the moment the acceleration is not constant — for that you need F = ma and a differential equation.
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