가속도 & 속도

F = ma 에서

가속도(( a ))는 속도(( v ))의 시간(( t ))에 대한 미분이므로, 수식으로 표현하면 다음과 같습니다.

\[a = \frac{dv}{dt}\]

또한, 속도(( v ))는 위치(( x ))의 시간 미분이므로, 이를 포함하여 가속도를 표현하면

\[a = \frac{d}{dt} \left( \frac{dx}{dt} \right) = \frac{d^2 x}{dt^2}\]

즉, 가속도는 위치의 이阶 미분(두 번째 미분)입니다.

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