Kinematic Equation 4

x = x_0 + \frac{1}{2}(v_0 + v)t

Displacement using average velocity.

Variables

x

Final position

Position at time t

m

x₀

Initial position

Initial position

m

v₀

Initial velocity

Initial velocity

m/s

v

Final velocity

Final velocity

m/s

t

Time

Elapsed time

s

Derivation

Average velocity = (v₀ + v)/2, so x - x₀ = v_avg × t.

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