Kinematic Equation 2

x = x_{0} + v_{0} t + \frac{1}{2} a t^{2}

Relates position to initial conditions, acceleration, and time.

Variables

x

Final position

Position at time t

m

x₀

Initial position

Position at t=0

m

v₀

Initial velocity

Velocity at t=0

m/s

a

Acceleration

Constant acceleration

m/s²

t

Time

Elapsed time

s

Derivation

Integrate v = v₀ + at: x = ∫v dt = v₀t + ½at² + x₀.

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